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1) The probability that all three students test positive on a drug test is 1/8. 2) The mean number of one-year-olds who do not recognize their mother's voice out of a sample of 20 is 2. 3) The probability that Jenny gets heads on the fourth coin flip is 1/2.
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Statistics Homework 1. In her science class, Priscilla read abou.docx
Statistics Homework
1. In her science class, Priscilla read about the growth rate (in centimeters) of two varieties of plants after 20 days. For the data shown below, answer questions a-d.
Variety 1
Variety 2
20 12 49 38 41 43
18 54 62 59 53 25
51 52 59 55 53 59
13 57 42 54 56 38
50 58 35 38 33 32
41 36 50 62 45 55
43 53
Variety 1
Variety 2
a.
Mean:
a.
Mean:
b.
Median:
b.
Median:
c.
Mode:
c.
Mode:
d. C
onstruct a stem and leaf display
with a central stem with Variety 1 on the left and Variety 2 on the right.
Order the leaves with the smallest leaves closest to the stem
.
e.
What conclusions can you make from this table?
2.
Heather recently read about the following distribution which shows the number of pounds of each snack food eaten during the 2012 NCAA Basketball Championship game.
a.
Construct a pie chart
for this data
b.
Indicate the degree of the central angle
for each snack food
Potato chips
12.3 million
Tortilla chips
8.4 million
Pretzels
7.8 million
Popcorn
6.3 million
Snack Nuts
2.5 million
3. Attached to this exam are two sets of data, CU Women’s Softball stats for this season, and a recap of the weather in Portland.
CHOOSE ONE
of these sets of stats, and …
a. Make
3
observations of the data.
b. Pose
two
questions about the data that are critical to ask about any set of data.
4. Jorge read that, in the Portland area, each month a household generates an average of 29 pounds of newspaper for recycling. The standard deviation is 2 pounds. Assume the data is normally distributed. What percentage of households…
a. Recycles between 27 and 31 pounds per month?
b. Recycles less than 33 pounds per month?
5. Andrea obtained a math score of 510 on the SAT; the SAT scores had a mean of 435 and a standard deviation of 105. Her math score on the PSAT was 56; the PSAT scores had a mean of 42 and a standard deviation of 9.5.
a. What is her
z-score for the SAT?
b.
What is her
z-score for the PSAT?
c.
Which of the two
test scores from parts
a and b
indicates the
stronger
performance?
Explain.
6. Given the following results on the Stanford Achievement Test where the top row of numbers listed for each subject test shows the raw score for that subtest. The number in the second row of each column shows the
national percentile
.
Verbal
Math
Analytical
Raw Score
350
420
580
Percentile
65
85
92
a.
What
percentage
of the students scored
above
this student.
Probability+problems
This document is a worksheet containing probability problems. It includes 15 multiple choice and short answer problems about calculating probabilities of events occurring in situations like selecting items randomly from groups. It also provides the answers and explanations for each problem.
Probability+problems
This document is a worksheet containing probability problems. It includes 15 multiple choice and short answer problems about calculating probabilities of events occurring in situations like selecting items randomly from groups. It also provides the answers and explanations for each problem.
RANDOM VARIABLESsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss...
A random variable is discrete if its possible outcomes are countable, like the number of defective chairs produced. A random variable is continuous if it takes values on a continuous scale, like heights or weights.
The probability of each value of a discrete random variable must be between 0 and 1, and the sum of all probabilities must equal 1. A discrete probability distribution lists the probabilities of each possible outcome. The mean is calculated by multiplying each value by its probability and summing. Variance is calculated by taking the squared distance of each value from the mean, multiplied by its probability.
Probability and Statistics paper 2023 BS COMPUTER SCIENCE.doc
1. The document contains instructions and questions for a mid-semester examination in Probability and Statistics. It includes an objective part with 10 multiple choice questions worth 0.5 marks each, and a subjective part with 5 questions worth various marks.
2. The objective questions cover topics like probability, combinations, surveys, and data types. The subjective questions involve calculating arrangements, pairings, frequency distributions, defining statistical science, and analyzing a sample data set.
3. Students are advised to write their details, not share items, manage time, and are prohibited from using unauthorized materials during the closed-book exam.
Suppose you are interested in selecting a group of six households Experience...
FOR MORE CLASSES VISIT
www.tutorialoutlet.com
1. Suppose that in a large metropolitan area, 82% of all households have cable tv. Suppose you are interested in selecting a group of six households from this area. Let X be the number of
households in a group of six households from this area that have cable tv. For what proportion of
groups will at most three of the households have cable tv?
Probability distribution of a random variable module
This document provides an overview of a module on statistics and probability for senior high school students. It covers basic concepts of random variables and probability distributions through two lessons. The first lesson defines random variables and distinguishes between discrete and continuous variables. The second lesson defines discrete probability distributions and shows how to construct a histogram for a probability mass function. Examples are provided to illustrate key concepts. Learning competencies focus on understanding and applying random variables and probability distributions to real-world problems.
Practice final answer
This document provides a practice final exam for a Statistics 311 course. It includes instructions for students taking the exam, an honor pledge, and 36 multiple choice and written response questions covering a range of statistical topics. The exam is intended to help students prepare for the format and level of questions that may appear on the actual final exam. It notes that the practice exam does not contain the exact questions or topics that will be on the real exam.
Recommended
Statistics Homework 1. In her science class, Priscilla read abou.docx
Statistics Homework
1. In her science class, Priscilla read about the growth rate (in centimeters) of two varieties of plants after 20 days. For the data shown below, answer questions a-d.
Variety 1
Variety 2
20 12 49 38 41 43
18 54 62 59 53 25
51 52 59 55 53 59
13 57 42 54 56 38
50 58 35 38 33 32
41 36 50 62 45 55
43 53
Variety 1
Variety 2
a.
Mean:
a.
Mean:
b.
Median:
b.
Median:
c.
Mode:
c.
Mode:
d. C
onstruct a stem and leaf display
with a central stem with Variety 1 on the left and Variety 2 on the right.
Order the leaves with the smallest leaves closest to the stem
.
e.
What conclusions can you make from this table?
2.
Heather recently read about the following distribution which shows the number of pounds of each snack food eaten during the 2012 NCAA Basketball Championship game.
a.
Construct a pie chart
for this data
b.
Indicate the degree of the central angle
for each snack food
Potato chips
12.3 million
Tortilla chips
8.4 million
Pretzels
7.8 million
Popcorn
6.3 million
Snack Nuts
2.5 million
3. Attached to this exam are two sets of data, CU Women’s Softball stats for this season, and a recap of the weather in Portland.
CHOOSE ONE
of these sets of stats, and …
a. Make
3
observations of the data.
b. Pose
two
questions about the data that are critical to ask about any set of data.
4. Jorge read that, in the Portland area, each month a household generates an average of 29 pounds of newspaper for recycling. The standard deviation is 2 pounds. Assume the data is normally distributed. What percentage of households…
a. Recycles between 27 and 31 pounds per month?
b. Recycles less than 33 pounds per month?
5. Andrea obtained a math score of 510 on the SAT; the SAT scores had a mean of 435 and a standard deviation of 105. Her math score on the PSAT was 56; the PSAT scores had a mean of 42 and a standard deviation of 9.5.
a. What is her
z-score for the SAT?
b.
What is her
z-score for the PSAT?
c.
Which of the two
test scores from parts
a and b
indicates the
stronger
performance?
Explain.
6. Given the following results on the Stanford Achievement Test where the top row of numbers listed for each subject test shows the raw score for that subtest. The number in the second row of each column shows the
national percentile
.
Verbal
Math
Analytical
Raw Score
350
420
580
Percentile
65
85
92
a.
What
percentage
of the students scored
above
this student.
Probability+problems
This document is a worksheet containing probability problems. It includes 15 multiple choice and short answer problems about calculating probabilities of events occurring in situations like selecting items randomly from groups. It also provides the answers and explanations for each problem.
Probability+problems
This document is a worksheet containing probability problems. It includes 15 multiple choice and short answer problems about calculating probabilities of events occurring in situations like selecting items randomly from groups. It also provides the answers and explanations for each problem.
RANDOM VARIABLESsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss...
A random variable is discrete if its possible outcomes are countable, like the number of defective chairs produced. A random variable is continuous if it takes values on a continuous scale, like heights or weights.
The probability of each value of a discrete random variable must be between 0 and 1, and the sum of all probabilities must equal 1. A discrete probability distribution lists the probabilities of each possible outcome. The mean is calculated by multiplying each value by its probability and summing. Variance is calculated by taking the squared distance of each value from the mean, multiplied by its probability.
Probability and Statistics paper 2023 BS COMPUTER SCIENCE.doc
1. The document contains instructions and questions for a mid-semester examination in Probability and Statistics. It includes an objective part with 10 multiple choice questions worth 0.5 marks each, and a subjective part with 5 questions worth various marks.
2. The objective questions cover topics like probability, combinations, surveys, and data types. The subjective questions involve calculating arrangements, pairings, frequency distributions, defining statistical science, and analyzing a sample data set.
3. Students are advised to write their details, not share items, manage time, and are prohibited from using unauthorized materials during the closed-book exam.
Suppose you are interested in selecting a group of six households Experience...
FOR MORE CLASSES VISIT
www.tutorialoutlet.com
1. Suppose that in a large metropolitan area, 82% of all households have cable tv. Suppose you are interested in selecting a group of six households from this area. Let X be the number of
households in a group of six households from this area that have cable tv. For what proportion of
groups will at most three of the households have cable tv?
Probability distribution of a random variable module
This document provides an overview of a module on statistics and probability for senior high school students. It covers basic concepts of random variables and probability distributions through two lessons. The first lesson defines random variables and distinguishes between discrete and continuous variables. The second lesson defines discrete probability distributions and shows how to construct a histogram for a probability mass function. Examples are provided to illustrate key concepts. Learning competencies focus on understanding and applying random variables and probability distributions to real-world problems.
Practice final answer
This document provides a practice final exam for a Statistics 311 course. It includes instructions for students taking the exam, an honor pledge, and 36 multiple choice and written response questions covering a range of statistical topics. The exam is intended to help students prepare for the format and level of questions that may appear on the actual final exam. It notes that the practice exam does not contain the exact questions or topics that will be on the real exam.
4 1 probability and discrete probability distributions
This document discusses probabilities and probability distributions. It begins by defining an experiment and sample space. A random variable is defined as a numerical value determined by the outcome of an experiment. Random variables can be discrete or continuous. Probability distributions show all possible outcomes of an experiment and their probabilities. The binomial distribution is discussed as modeling discrete experiments with binary outcomes and fixed probabilities. Key properties of the binomial include the mean, variance, and use of the binomial probability formula and tables to calculate probabilities of various outcomes.
STATUse the information below to answer Questions 1 through 4..docx
STAT
Use the information below to answer Questions 1 through 4.
Given a sample size of 36, with sample mean 670.3 and sample standard deviation 114.9, we perform the following hypothesis test.
Null Hypothesis
Alternative Hypothesis
1. What is the test statistic?
2. At a 10% significance level (90% confidence level), what is the critical value in this test? Do we reject the null hypothesis?
3. What are the border values between acceptance and rejection of this hypothesis?
4. What is the power of this test if the assumed true mean were 710 instead of 700?.
Questions 5 through 8 involve rolling of dice.
5. Given a fair, six-sided die, what is the probability of rolling the die twice and getting a “1” each time?
6. What is the probability of getting a “1” on the second roll when you get a “1” on the first roll?
7. The House managed to load the die in such a way that the faces “2” and “4” show up twice as frequently as all other faces. Meanwhile, all the other faces still show up with equal frequency. What is the probability of getting a “1” when rolling this loaded die?
8. Write the probability distribution for this loaded die, showing each outcome and its probability. Also plot a histogram to show the probability distribution.
Use the data in the table to answer Questions 9 through 11.
x
3
1
4
4
5
y
1
-2
3
5
9
9. Determine SSxx, SSxy, and SSyy.
10.
Find the equation of the regression line. What is the predicted value when
11. Is the correlation significant at 1% significance level (99% confidence level)? Why or why not?
Use the data below to answer Questions 12 through 14.
A group of students from three universities were asked to pick their favorite college sport to attend of their choice: The results, in number of students, are listed as follows:
Football
Basketball
Soccer
Maryland
60
70
20
Duke
10
75
15
UCLA
35
65
25
Supposed a student is randomly selected from the group mentioned above.
12. What is the probability that the student is from UCLA or chooses football?
13. What is the probability that the student is from Duke, given that the student chooses basketball?
14. What is the probability that the student is from Maryland and chooses soccer?
Use the information below to answer Questions 15 and 17.
There are 3600 apples in a shipment. The weight of the apples in this shipment is normally distributed. It is found that it a mean weight of 14 ounces with a standard deviation of 2.5 ounces.
15. How many of apples have weights between 13 ounces and 15 ounces?
16. What is the probability that a randomly selected mango weighs less than 12.5 ounces?
17. A quality inspector randomly selected 100 apples from the shipment.
a. What is the probability that the 100 randomly selected apples have a mean weight less than 12.5 ounces?
b. Do you come up with the same result in Question 16? Why or why not?
18. A pharmaceutical company has developed a screening test for a rare disease that afflicted 2% of the population. Un.
1. A home pregnancy test was given to women, then pregnancy was v
1. A home pregnancy test was given to women, then pregnancy was verified through blood tests. The following table shows the home pregnancy test results.
Positive
Negative
Total
Pregnant
69
4
73
Not Pregnant
9
51
60
Total
78
55
133
Round your answers to the nearest thousandth.
PP (positive) ∣
pregnant) =
PP(pregnant)
positive) =
PP
(negative)
pregnant) =
PP(not pregnant)
negative) =
2. A test was given to a group of students. The grades and gender are summarized below
A
B
C
Total
Male
4
15
16
35
Female
7
12
14
33
Total
11
27
30
68
If one student is chosen at random from those who took the test,
Find the probability that the student was female GIVEN they got an 'A'.
____________________________________________________
3. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
10
7
9
26
Female
5
17
19
41
Total
15
24
28
67
If one student is chosen at random,
Find the probability that the student was male: ______
Find the probability that the student was male AND got a "C": ___________
Find the probability that the student was male OR got an "C": ___________
If one student is chosen at random, find the probability that the student got a 'B' GIVEN they are female: _____________
4. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
6
9
3
18
Female
10
2
15
27
Total
16
11
18
45
If one student is chosen at random,
1. Find the probability that the student was male: _________
2. Find the probability that the student was male AND got a "C": ______
3. Find the probability that the student was male OR got a "C": ______
4. If one student is chosen at random, find the probability that the student was male GIVEN they got a 'C': ____________
5. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
18
12
16
46
Female
8
3
13
24
Total
26
15
29
70
If one student is chosen at random,
Find the probability that the student was female:
Find the probability that the student was male AND got a "B":
Find the probability that the student was female OR got an "C":
If one student is chosen at random, find the probability that the student got a 'A' GIVEN they are female:
6. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
12
13
8
33
Female
19
2
20
41
Total
31
15
28
74
If one student is chosen at random,
Find the probability that the student was female AND got a "A".
7. A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below.
better
same
worse
Republican
38
104
44
Democrat
12
87
137
none
21
90
118
Express each of your answers as a percent rounded to the nearest tenth (for examp ...
1. A home pregnancy test was given to women, then pregnancy was v
1. A home pregnancy test was given to women, then pregnancy was verified through blood tests. The following table shows the home pregnancy test results.
Positive
Negative
Total
Pregnant
69
4
73
Not Pregnant
9
51
60
Total
78
55
133
Round your answers to the nearest thousandth.
PP (positive) ∣
pregnant) =
PP(pregnant)
positive) =
PP
(negative)
pregnant) =
PP(not pregnant)
negative) =
2. A test was given to a group of students. The grades and gender are summarized below
A
B
C
Total
Male
4
15
16
35
Female
7
12
14
33
Total
11
27
30
68
If one student is chosen at random from those who took the test,
Find the probability that the student was female GIVEN they got an 'A'.
____________________________________________________
3. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
10
7
9
26
Female
5
17
19
41
Total
15
24
28
67
If one student is chosen at random,
Find the probability that the student was male: ______
Find the probability that the student was male AND got a "C": ___________
Find the probability that the student was male OR got an "C": ___________
If one student is chosen at random, find the probability that the student got a 'B' GIVEN they are female: _____________
4. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
6
9
3
18
Female
10
2
15
27
Total
16
11
18
45
If one student is chosen at random,
1. Find the probability that the student was male: _________
2. Find the probability that the student was male AND got a "C": ______
3. Find the probability that the student was male OR got a "C": ______
4. If one student is chosen at random, find the probability that the student was male GIVEN they got a 'C': ____________
5. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
18
12
16
46
Female
8
3
13
24
Total
26
15
29
70
If one student is chosen at random,
Find the probability that the student was female:
Find the probability that the student was male AND got a "B":
Find the probability that the student was female OR got an "C":
If one student is chosen at random, find the probability that the student got a 'A' GIVEN they are female:
6. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
12
13
8
33
Female
19
2
20
41
Total
31
15
28
74
If one student is chosen at random,
Find the probability that the student was female AND got a "A".
7. A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below.
better
same
worse
Republican
38
104
44
Democrat
12
87
137
none
21
90
118
Express each of your answers as a percent rounded to the nearest tenth (for examp ...
Practice Test 2 Probability
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http://www.youtube.com/onlineteaching
Elementary Statistics Practice Test 2
Chapter 4: Probability
hypothesis testing.pptx
The document provides examples of hypothesis testing using z-tests, t-tests, F-tests (ANOVA), and describes how to conduct each test. It includes examples testing hypotheses about means of different groups for variables like exam scores, car crash tests, and sales data. The final example tests whether the monthly sales means are equal to determine which salesman is most likely to be promoted.
Stat 230 Summer 2014 – Final Exam Page 1 .docx
Stat 230 Summer 2014 – Final Exam
Page 1
Please answer all 30 questions. Make sure your answers are as complete as
possible. Show all of your work and reasoning. In particular, when there are
calculations involved, you must show how you come up with your answers
with critical work and/or necessary tables. Answers that come straight from
program software packages will not be accepted.
You must include the Honor Pledge on the title page of your
submitted final exam. Exam submitted without the Honor
Pledge will not be accepted.
Honor Pledge: "I have completed this final examination myself, working independently
and not consulting anyone except the instructor. I have neither given nor received help on this
final examination."
Use the information below to answer Questions 1 through 3.
Given a sample size of 34, with sample mean 660.3 and sample standard deviation 104.9, we
perform the following hypothesis test. Since n>30, this is a Z test.
Null Hypothesis 0 : 700H
Alternative Hypothesis : 700aH
1. What is the test statistic? What is the p-value?
2. At a 5% significance level (95% confidence level), what is the critical value(s) in this
test? Do we reject the null hypothesis?
3. What are the border values of x between acceptance and rejection of this hypothesis?
Stat 230 Summer 2014 – Final Exam
Page 2
Questions 4 through 7 involve rolling of dice.
4. Given a fair, six-sided die, what is the probability of rolling the die twice and getting a
“1” each time?
5. What is the probability of getting a “1” on the second roll when you get a “1” on the first
roll?
6. The House managed to load the die in such a way that the faces “2” and “4” show up
twice as frequently as all other faces. Meanwhile, all the other faces still show up with
equal frequency. What is the probability of getting a “5” when rolling this loaded die?
7. Write the probability distribution for this loaded die, showing each outcome and its
probability.
Use the data in the table to answer Questions 8 through 9.
x 3 1 4 4 5
y 2 -2 5 4 8
8. Determine SSxx, SSxy, and SSyy.
9. Find the equation of the regression line. What is the predicted value when 4?x
Stat 230 Summer 2014 – Final Exam
Page 3
Use the data below to answer Questions 10 through 12.
A group of students from three universities were asked to pick their favorite college sport
to attend of their choice: The results, in number of students, are listed as follows:
Football Basketball Soccer
Maryland 60 70 20
Duke 10 75 15
UCLA 35 65 25
Supposed that a student is randomly selected from the group mentioned above.
10. What is the probability that the student is from UCLA or chooses football?
11. What is the probability that the student is from Duke, given that the student chooses
basketball?
12. What is the probability that the .
(7) Lesson 9.7
To determine the probability of two independent events occurring:
1. Find the probability of each individual event. For example, if spinning a spinner with four equal sections and rolling a six-sided die, the probability of each event would be 1/4 and 1/6 respectively.
2. Multiply the probabilities of the individual events. Since independent events do not influence each other, we can treat them as separate occurrences.
3. The product of the individual probabilities is the probability the two independent events will both occur. Continuing the spinner and die example, the probability of a specific outcome on the spinner AND a specific outcome on the die is (1/4) × (1/6) = 1/
STAT 200 Introduction to Statistics Final Examination, Sp.docx
STAT 200: Introduction to Statistics Final Examination, Spring 2016 OL4 Page 1 of 7
STAT 200
OL4/US2 Sections
Final Exam
Spring 2016
The final exam will be posted at 12:01 am on May 6, and it is due
at 11:59 pm on May 8, 2016. Eastern Time is our reference time.
This is an open-book exam. You may refer to your text and other course materials
as you work on the exam, and you may use a calculator. You must complete the
exam individually. Neither collaboration nor consultation with others is allowed.
It is a violation of the UMUC Academic Dishonesty and Plagiarism policy to use
unauthorized materials or work from others.
Answer all 20 questions. Make sure your answers are as complete as possible.
Show all of your work and reasoning. In particular, when there are calculations
involved, you must show how you come up with your answers with critical work
and/or necessary tables. Answers that come straight from calculators, programs
or software packages will not be accepted. If you need to use software (for
example, Excel) and /or online or hand-held calculators to aid in your calculation,
you must cite the sources and explain how you get the results.
Record your answers and work on the separate answer sheet provided.
This exam has 200 total points; 10 points for each question.
You must include the Honor Pledge on the title page of your submitted final exam.
Exams submitted without the Honor Pledge will not be accepted.
STAT 200: Introduction to Statistics Final Examination, Spring 2016 OL4 Page 2 of 7
1. True or False. Justify for full credit.
(a) If P(A) = 0.4 , P(B) = 0.5, and A and B are disjoint, then P(A AND B) = 0.2.
(b) If all the observations in a data set are identical, then the variance for this data set is 0.
(c) The mean is always equal to the median for a normal distribution.
(d) It’s easier to reject the null hypothesis at significance level of 0.01 than at significance
level of 0.05.
(e) In a two-tailed test, the value of the test statistic is 2. If we know the test statistic follows a
Student’s t-distribution with P(T >2) = 0.03, then we have sufficient evidence to reject the
null hypothesis at 0.05 level of significance.
2. Identify which of these types of sampling is used: cluster, convenience, simple random,
systematic, or stratified. Justify for full credit.
(a) The quality control department of a semiconductor manufacturing company tests every 100
th
product from the assembly line.
(b) UMUC STAT Club wanted to estimate the study hours of STAT 200 students. Two STAT 200
sections were randomly selected and all students from these two sections were asked to fill out
the questionnaire.
(c) A STAT 200 student is interested in the number of credit cards owned by college students. She
surveyed all of her classmates to collect sample data.
(d) In a career readiness research, 1.
Discrete Probability Distributions1.A group of people were.docx
Discrete Probability Distributions
1.A group of people were asked if they had run a red light in the last year. 446 responded "yes", and 344 responded "no".
Find the probability that if a person is chosen at random, they have run a red light in the last year.
Give your answer as a fraction or decimal to 4 decimal places
2. A random variable is defined as a process or variable with a numerical outcome. Which of the following are random variables?
The amount of rain, in inches, that will fall next Friday in Dallas, TX.
The major of a randomly drawn student from Arizona State University.
The number of books purchased next year by your local library.
i only
ii only
iii only
i and iii
ii and iii
i, ii, and iii
3. For families with 5 children, let XX be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable XX?
xx
P(x)P(x)
1
0.2842
2
0.0923
3
0.2544
4
0.1366
5
0.1097
· no
· yes
4. Assume that 12 jurors are randomly selected from a population in which 71% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities.
xx
P(x)P(x)
0
0+
1
0+
2
0.0001
3
0.0011
4
0.0063
5
0.0246
6
0.0704
7
0.1477
8
0.2261
9
0.246
10
0.1807
11
0.0804
12
0.0164
Find the probability of exactly 7 Mexican-Americans among 12 jurors. Round your answer to four decimal places.
P(x=7)=P(x=7)=
Find the probability of 7 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places.
P(x≤7)=P(x≤7)=
Does 7 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?
· yes
· no
5.
Probability
Scores
0.05
3
0.45
8
0.05
10
0.35
12
0.1
13
Find the expected value of the above random variable.
6. On a 9 question multiple-choice test, where each question has 3 answers, what would be the probability of getting at least one question wrong?
Give your answer as a fraction
7. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
7
10
2
19
Female
17
16
18
51
Total
24
26
20
70
If one student was chosen at random,
find the probability that the student got a B.
Give your answer as a fraction or decimal.
8. The table summarizes results from 989 pedestrian deaths that were caused by automobile accidents.
Driver
Intoxicated?
Pedestrian Intoxicated?
Yes
No
Yes
45
75
No
281
588
If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated or the driver was not intoxicated.
Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.
prob = %
9. Determine whether this table represents a probability d.
PERFORMANCE TASK 1 and 2.pptx STAT AND PROBAB
This document contains information about random variables including:
1) Five examples of random variables with possible values listed for each. Examples include the number of red balls drawn from an urn or the number of tails when coins are tossed.
2) Five multiple choice questions about random variables, including whether examples given are discrete or continuous random variables.
3) A request to provide five pictures of random variables and explain what makes each discrete or continuous.
The document contains tasks and questions regarding random variables, their possible values in given situations, and whether they are discrete or continuous. Examples of random variables are provided along with multiple choice questions to test understanding of key random variable concepts.
PSYC 317 – Spring 2015 Exam 3Answer the questions below to th.docx
This document contains details of an exam for a psychology course covering analysis of variance (ANOVA). It includes completion and short answer questions testing understanding of concepts like one-way and factorial ANOVA, correlations, regression, and repeated measures designs. It also includes multiple multi-part problems requiring calculations and interpretation for one-way ANOVA, factorial ANOVA, correlation, regression, and repeated measures ANOVA analyses of hypothetical research studies and data sets.
STATUse the information below to answer Questions 1 through 4..docx
The document provides information and questions related to statistics concepts including hypothesis testing, probability, sampling, and data analysis. It includes sample size, means, standard deviations, test statistics, critical values, and confidence levels for hypothesis tests. Questions involve probabilities and distributions for dice rolls, sports preferences among university students, apple weights, disease screening tests, fraud detection using Benford's law, and gemstone hardness tests. Other questions cover seating arrangements, swimming pool contamination sampling, and determining the number of dishes to order for a banquet.
A home pregnancy test was given to women, then pregnancy was verif.docx
A home pregnancy test was given to women, then pregnancy was verified through blood tests. The following table shows the home pregnancy test results.
Positive
Negative
Total
Pregnant
69
4
73
Not Pregnant
9
51
60
Total
78
55
133
Round your answers to the nearest thousandth.
PP (positive) ∣
pregnant) =
PP(pregnant)
positive) =
PP
(negative)
pregnant) =
PP(not pregnant)
negative) =
2
. A test was given to a group of students. The grades and gender are summarized below
A
B
C
Total
Male
4
15
16
35
Female
7
12
14
33
Total
11
27
30
68
If one student is chosen at random from those who took the test,
Find the probability that the student was female GIVEN they got an 'A'.
____________________________________________________
3
.
Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
10
7
9
26
Female
5
17
19
41
Total
15
24
28
67
If one student is chosen at random,
Find the probability that the student was male: ______
Find the probability that the student was male AND got a "C": ___________
Find the probability that the student was male OR got an "C": ___________
If one student is chosen at random, find the probability that the student got a 'B' GIVEN they are female: _____________
4
. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
6
9
3
18
Female
10
2
15
27
Total
16
11
18
45
If one student is chosen at random,
Find the probability that the student was male: _________
Find the probability that the student was male AND got a "C": ______
Find the probability that the student was male OR got a "C": ______
If one student is chosen at random, find the probability that the student was male GIVEN they got a 'C': ____________
5
. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
18
12
16
46
Female
8
3
13
24
Total
26
15
29
70
If one student is chosen at random,
Find the probability that the student was female:
Find the probability that the student was male AND got a "B":
Find the probability that the student was female OR got an "C":
If one student is chosen at random, find the probability that the student got a 'A' GIVEN they are female:
6
. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
12
13
8
33
Female
19
2
20
41
Total
31
15
28
74
If one student is chosen at random,
Find the probability that the student was female AND got a "A".
7. A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below.
better
same
worse
Republican
38
104
44
Democrat
.
(8) Lesson 9.3
This document provides examples and explanations for constructing and interpreting two-way tables and relative frequencies. It includes two examples of creating two-way tables from survey data involving two categorical variables. It also shows how to find and interpret relative frequencies from the tables. The final questions discuss how patterns can be compared using two-way tables and relative frequencies, and how a Venn diagram can be used to construct a two-way table.
Question 1 of 402.5 PointsA die with 12 sides is rolled. What is.docx
Question 1 of 40
2.5 Points
A die with 12 sides is rolled. What is the probability of rolling a number less than 11? Is this the same as rolling a total less than 11 with two six-sided dice? Explain.
A. 2/6
B. 3/6
C. 4/6
D. 5/6
Question 2 of 40
2.5 Points
Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.413. Find the probability that in a given year it will not snow on January 1st in that town.
A. 0.345
B. 0.425
C. 0.587
D. 0.592
Question 3 of 40
2.5 Points
A study of 600 college students taking Statistics 101 revealed that 54 students received the grade of A. Typically 10% of the class gets an A. The difference between this group of students and the expected value is not significant at the 0.05 level. What does this mean in this case?
A. The probability that the difference occurred due to chance is less than 0.05.
B. The probability of getting an A is 10% and only 9% got an A in this study. The difference is less than 5% so it is not significant.
C. There is not enough information to make any conclusion.
D. The probability that the difference occurred due to chance is more than 0.05.
Question 4 of 40
2.5 Points
A committee of three people is to be formed. The three people will be selected from a list of five possible committee members. A simple random sample of three people is taken, without replacement, from the group of five people. Using the letters A, B, C, D, E to represent the five people, list the possible samples of size three and use your list to determine the probability that B is included in the sample. (Hint: There are 10 possible samples.)
A. 0.6
B. 0.4
C. 0.7
D. 0.8
Question 5 of 40
2.5 Points
If you flip a coin three times, the possible outcomes are HHH, HHT, HTH,
HTT, THH, THT, TTH, TTT. What is the probability of getting at least one head?
A. 4/9
B. 5/6
C. 7/8
D. 5/8
Question 6 of 40
2.5 Points
In the first series of rolls of a die, the number of odd numbers exceeded the number of even numbers by 5. In the second series of rolls of the same die, the number of odd numbers exceeded the number of even numbers by 11. Determine which series is closer to the 50/50 ratio of odd/even expected of a fairly rolled die.
A. The second series is closer because the difference between odd and even numbers is greater than the difference for the first series.
B. The first series is closer because the difference between odd and even numbers is less than the difference for the second series.
C. Since 1/2 > 1/5 > 1/11, the first series is closer.
D. The series closer to the theoretical 50/50 cannot be determined unless the total number of rolls for both series is given.
Reset Selection
Question 7 of 40
2.5 Points
A study of students taking Statistics 101 was done. Four hundred students who studied for more than 10 hours averaged a B. Two hundred students who studied for less than 10 hours averaged a C. This difference was significant at the 0.01 level. What does this mea.
Directions Type out the answers to all questions on a separate .docx
Directions
: Type out the answers to all questions on a separate sheet of paper. This sheet of paper or document will be known as the “Answer Sheet for Final Exam” Be sure to number your answer sheet in the same way the questions on the Final Exam are numbered. For this assignment, your answer sheet should be numbered from 1 through 50.
Where to submit Final Exam
: When you complete the assignment, you will submit it either by uploading it as an attachment or by cutting and pasting the assignment from your word processing program into the textbox. Both of these options appear at the bottom of the assignment page. If you cut and paste your assignment into the textbox, be sure to do so by choosing the option to “Paste from Word.” Using this option will maintain your original formatting. To access the “Paste from Word” option, click on the three dots that appear in the box in the far right hand corner of the textbox. After you do this, several more buttons should appear. Once these buttons appear, click on the arrow beside the picture of the clipboard in order to see the option “Paste from Word.” Click on this option and follow the directions provided.
If you submit your final exam as an attachment, label it in the following way: FELastName. If I were submitting the final exam, I would label it in the following way: FETolbert.
If you submit the final exam as an attachment, be sure to save it and attach it as a Rich Text Format (RTF) since the majority of computers can open an RTF attachment.
If you submit the final exam as an attachment that my computer will not open, I will return the assignment to you ungraded. The assignment will remain ungraded until you submit it in a form my computer will open
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When to Submit Your Assignment:
The Final Exam is due by 11:59 Eastern Standard Time on
Sunday, December 14, 2014
.
How to Format Assignmen
t:
Title
: Center the following information at the top of the completed exercise:
Answer Sheet for Final Exam
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: 12pt Times New Roman
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: Double Spacing
If you have any questions about how to do the Final Exam or how to submit it, be sure to let me know.
EDCP 103 Final Exam
Fall 2014
Section I: Multiple choice and fill-in-the-blank
Each question in this section is worth 1 point.
Questions 1-6
Three passages out of the four in each question contain sentence fragments or run-on sentences. Choose the one correct sentence that is error-free.
1.
Taking classes at night helps me develop my job skills it also works well with my schedule.
Taking classes at night helps me develop my job skills, it also works well with my schedule.
C)
Taking classes at night helps me develop my job skills; it also works well with my schedule.
D)
Taking classes at night helps me develop my job skills. And also works well with my schedule.
2.
There are several good techniques for cleaning a room. For example, starting at the top of the room.
If time is limited, don’t worry, you can set aside .
Practical 1 07
1. The document provides information about an introduction to clinical genetics and cytogenetics practical organized by the Institute of Biology and Medical Genetics.
2. It outlines the requirements to obtain credit for the practical, including a minimum of 80% on tests, attendance at all sessions, and the potential to earn up to 5 extra points for an oral presentation.
3. The document describes different types of microscopes used in cytogenetics, including stereomicroscopes and fluorescent microscopes, and techniques for staining and observing chromosomes, such as Giemsa staining.
FUNDAMENTAL COUNTING PRINCIPLE.ppt
This document discusses the fundamental counting principle and provides examples of how to use it to calculate the number of possible outcomes in various situations. It begins by defining anagrams and providing examples. It then presents two situations to count outcomes: choosing outfits from different clothing items and menu options at a restaurant. The document explains how to use tree diagrams or tables to count outcomes but that the fundamental counting principle is more efficient. It provides examples counting color and size combinations of shirts, possible ice cream sundaes, and school lunch options. Finally, it gives practice problems and homework assignments applying the fundamental counting principle.
Probability of Simple and Compound Events
This document contains a lesson plan on probability for students. It begins with definitions of key probability terms and examples of calculating probabilities of simple and compound events. It then provides word problems for students to practice calculating probabilities. The document concludes with additional practice problems for students to answer. The overall document provides instruction and practice on fundamental concepts in probability.
Pharmacology of Prostaglandins, Thromboxanes and Leukotrienes
This presentation gives information on the pharmacology of Prostaglandins, Thromboxanes and Leukotrienes i.e. Eicosanoids. Eicosanoids are signaling molecules derived from polyunsaturated fatty acids like arachidonic acid. They are involved in complex control over inflammation, immunity, and the central nervous system. Eicosanoids are synthesized through the enzymatic oxidation of fatty acids by cyclooxygenase and lipoxygenase enzymes. They have short half-lives and act locally through autocrine and paracrine signaling.
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4 1 probability and discrete probability distributions
This document discusses probabilities and probability distributions. It begins by defining an experiment and sample space. A random variable is defined as a numerical value determined by the outcome of an experiment. Random variables can be discrete or continuous. Probability distributions show all possible outcomes of an experiment and their probabilities. The binomial distribution is discussed as modeling discrete experiments with binary outcomes and fixed probabilities. Key properties of the binomial include the mean, variance, and use of the binomial probability formula and tables to calculate probabilities of various outcomes.
STATUse the information below to answer Questions 1 through 4..docx
STAT
Use the information below to answer Questions 1 through 4.
Given a sample size of 36, with sample mean 670.3 and sample standard deviation 114.9, we perform the following hypothesis test.
Null Hypothesis
Alternative Hypothesis
1. What is the test statistic?
2. At a 10% significance level (90% confidence level), what is the critical value in this test? Do we reject the null hypothesis?
3. What are the border values between acceptance and rejection of this hypothesis?
4. What is the power of this test if the assumed true mean were 710 instead of 700?.
Questions 5 through 8 involve rolling of dice.
5. Given a fair, six-sided die, what is the probability of rolling the die twice and getting a “1” each time?
6. What is the probability of getting a “1” on the second roll when you get a “1” on the first roll?
7. The House managed to load the die in such a way that the faces “2” and “4” show up twice as frequently as all other faces. Meanwhile, all the other faces still show up with equal frequency. What is the probability of getting a “1” when rolling this loaded die?
8. Write the probability distribution for this loaded die, showing each outcome and its probability. Also plot a histogram to show the probability distribution.
Use the data in the table to answer Questions 9 through 11.
x
3
1
4
4
5
y
1
-2
3
5
9
9. Determine SSxx, SSxy, and SSyy.
10.
Find the equation of the regression line. What is the predicted value when
11. Is the correlation significant at 1% significance level (99% confidence level)? Why or why not?
Use the data below to answer Questions 12 through 14.
A group of students from three universities were asked to pick their favorite college sport to attend of their choice: The results, in number of students, are listed as follows:
Football
Basketball
Soccer
Maryland
60
70
20
Duke
10
75
15
UCLA
35
65
25
Supposed a student is randomly selected from the group mentioned above.
12. What is the probability that the student is from UCLA or chooses football?
13. What is the probability that the student is from Duke, given that the student chooses basketball?
14. What is the probability that the student is from Maryland and chooses soccer?
Use the information below to answer Questions 15 and 17.
There are 3600 apples in a shipment. The weight of the apples in this shipment is normally distributed. It is found that it a mean weight of 14 ounces with a standard deviation of 2.5 ounces.
15. How many of apples have weights between 13 ounces and 15 ounces?
16. What is the probability that a randomly selected mango weighs less than 12.5 ounces?
17. A quality inspector randomly selected 100 apples from the shipment.
a. What is the probability that the 100 randomly selected apples have a mean weight less than 12.5 ounces?
b. Do you come up with the same result in Question 16? Why or why not?
18. A pharmaceutical company has developed a screening test for a rare disease that afflicted 2% of the population. Un.
1. A home pregnancy test was given to women, then pregnancy was v
1. A home pregnancy test was given to women, then pregnancy was verified through blood tests. The following table shows the home pregnancy test results.
Positive
Negative
Total
Pregnant
69
4
73
Not Pregnant
9
51
60
Total
78
55
133
Round your answers to the nearest thousandth.
PP (positive) ∣
pregnant) =
PP(pregnant)
positive) =
PP
(negative)
pregnant) =
PP(not pregnant)
negative) =
2. A test was given to a group of students. The grades and gender are summarized below
A
B
C
Total
Male
4
15
16
35
Female
7
12
14
33
Total
11
27
30
68
If one student is chosen at random from those who took the test,
Find the probability that the student was female GIVEN they got an 'A'.
____________________________________________________
3. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
10
7
9
26
Female
5
17
19
41
Total
15
24
28
67
If one student is chosen at random,
Find the probability that the student was male: ______
Find the probability that the student was male AND got a "C": ___________
Find the probability that the student was male OR got an "C": ___________
If one student is chosen at random, find the probability that the student got a 'B' GIVEN they are female: _____________
4. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
6
9
3
18
Female
10
2
15
27
Total
16
11
18
45
If one student is chosen at random,
1. Find the probability that the student was male: _________
2. Find the probability that the student was male AND got a "C": ______
3. Find the probability that the student was male OR got a "C": ______
4. If one student is chosen at random, find the probability that the student was male GIVEN they got a 'C': ____________
5. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
18
12
16
46
Female
8
3
13
24
Total
26
15
29
70
If one student is chosen at random,
Find the probability that the student was female:
Find the probability that the student was male AND got a "B":
Find the probability that the student was female OR got an "C":
If one student is chosen at random, find the probability that the student got a 'A' GIVEN they are female:
6. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
12
13
8
33
Female
19
2
20
41
Total
31
15
28
74
If one student is chosen at random,
Find the probability that the student was female AND got a "A".
7. A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below.
better
same
worse
Republican
38
104
44
Democrat
12
87
137
none
21
90
118
Express each of your answers as a percent rounded to the nearest tenth (for examp ...
1. A home pregnancy test was given to women, then pregnancy was v
1. A home pregnancy test was given to women, then pregnancy was verified through blood tests. The following table shows the home pregnancy test results.
Positive
Negative
Total
Pregnant
69
4
73
Not Pregnant
9
51
60
Total
78
55
133
Round your answers to the nearest thousandth.
PP (positive) ∣
pregnant) =
PP(pregnant)
positive) =
PP
(negative)
pregnant) =
PP(not pregnant)
negative) =
2. A test was given to a group of students. The grades and gender are summarized below
A
B
C
Total
Male
4
15
16
35
Female
7
12
14
33
Total
11
27
30
68
If one student is chosen at random from those who took the test,
Find the probability that the student was female GIVEN they got an 'A'.
____________________________________________________
3. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
10
7
9
26
Female
5
17
19
41
Total
15
24
28
67
If one student is chosen at random,
Find the probability that the student was male: ______
Find the probability that the student was male AND got a "C": ___________
Find the probability that the student was male OR got an "C": ___________
If one student is chosen at random, find the probability that the student got a 'B' GIVEN they are female: _____________
4. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
6
9
3
18
Female
10
2
15
27
Total
16
11
18
45
If one student is chosen at random,
1. Find the probability that the student was male: _________
2. Find the probability that the student was male AND got a "C": ______
3. Find the probability that the student was male OR got a "C": ______
4. If one student is chosen at random, find the probability that the student was male GIVEN they got a 'C': ____________
5. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
18
12
16
46
Female
8
3
13
24
Total
26
15
29
70
If one student is chosen at random,
Find the probability that the student was female:
Find the probability that the student was male AND got a "B":
Find the probability that the student was female OR got an "C":
If one student is chosen at random, find the probability that the student got a 'A' GIVEN they are female:
6. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
12
13
8
33
Female
19
2
20
41
Total
31
15
28
74
If one student is chosen at random,
Find the probability that the student was female AND got a "A".
7. A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below.
better
same
worse
Republican
38
104
44
Democrat
12
87
137
none
21
90
118
Express each of your answers as a percent rounded to the nearest tenth (for examp ...
Practice Test 2 Probability
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Elementary Statistics Practice Test 2
Chapter 4: Probability
hypothesis testing.pptx
The document provides examples of hypothesis testing using z-tests, t-tests, F-tests (ANOVA), and describes how to conduct each test. It includes examples testing hypotheses about means of different groups for variables like exam scores, car crash tests, and sales data. The final example tests whether the monthly sales means are equal to determine which salesman is most likely to be promoted.
Stat 230 Summer 2014 – Final Exam Page 1 .docx
Stat 230 Summer 2014 – Final Exam
Page 1
Please answer all 30 questions. Make sure your answers are as complete as
possible. Show all of your work and reasoning. In particular, when there are
calculations involved, you must show how you come up with your answers
with critical work and/or necessary tables. Answers that come straight from
program software packages will not be accepted.
You must include the Honor Pledge on the title page of your
submitted final exam. Exam submitted without the Honor
Pledge will not be accepted.
Honor Pledge: "I have completed this final examination myself, working independently
and not consulting anyone except the instructor. I have neither given nor received help on this
final examination."
Use the information below to answer Questions 1 through 3.
Given a sample size of 34, with sample mean 660.3 and sample standard deviation 104.9, we
perform the following hypothesis test. Since n>30, this is a Z test.
Null Hypothesis 0 : 700H
Alternative Hypothesis : 700aH
1. What is the test statistic? What is the p-value?
2. At a 5% significance level (95% confidence level), what is the critical value(s) in this
test? Do we reject the null hypothesis?
3. What are the border values of x between acceptance and rejection of this hypothesis?
Stat 230 Summer 2014 – Final Exam
Page 2
Questions 4 through 7 involve rolling of dice.
4. Given a fair, six-sided die, what is the probability of rolling the die twice and getting a
“1” each time?
5. What is the probability of getting a “1” on the second roll when you get a “1” on the first
roll?
6. The House managed to load the die in such a way that the faces “2” and “4” show up
twice as frequently as all other faces. Meanwhile, all the other faces still show up with
equal frequency. What is the probability of getting a “5” when rolling this loaded die?
7. Write the probability distribution for this loaded die, showing each outcome and its
probability.
Use the data in the table to answer Questions 8 through 9.
x 3 1 4 4 5
y 2 -2 5 4 8
8. Determine SSxx, SSxy, and SSyy.
9. Find the equation of the regression line. What is the predicted value when 4?x
Stat 230 Summer 2014 – Final Exam
Page 3
Use the data below to answer Questions 10 through 12.
A group of students from three universities were asked to pick their favorite college sport
to attend of their choice: The results, in number of students, are listed as follows:
Football Basketball Soccer
Maryland 60 70 20
Duke 10 75 15
UCLA 35 65 25
Supposed that a student is randomly selected from the group mentioned above.
10. What is the probability that the student is from UCLA or chooses football?
11. What is the probability that the student is from Duke, given that the student chooses
basketball?
12. What is the probability that the .
(7) Lesson 9.7
To determine the probability of two independent events occurring:
1. Find the probability of each individual event. For example, if spinning a spinner with four equal sections and rolling a six-sided die, the probability of each event would be 1/4 and 1/6 respectively.
2. Multiply the probabilities of the individual events. Since independent events do not influence each other, we can treat them as separate occurrences.
3. The product of the individual probabilities is the probability the two independent events will both occur. Continuing the spinner and die example, the probability of a specific outcome on the spinner AND a specific outcome on the die is (1/4) × (1/6) = 1/
STAT 200 Introduction to Statistics Final Examination, Sp.docx
STAT 200: Introduction to Statistics Final Examination, Spring 2016 OL4 Page 1 of 7
STAT 200
OL4/US2 Sections
Final Exam
Spring 2016
The final exam will be posted at 12:01 am on May 6, and it is due
at 11:59 pm on May 8, 2016. Eastern Time is our reference time.
This is an open-book exam. You may refer to your text and other course materials
as you work on the exam, and you may use a calculator. You must complete the
exam individually. Neither collaboration nor consultation with others is allowed.
It is a violation of the UMUC Academic Dishonesty and Plagiarism policy to use
unauthorized materials or work from others.
Answer all 20 questions. Make sure your answers are as complete as possible.
Show all of your work and reasoning. In particular, when there are calculations
involved, you must show how you come up with your answers with critical work
and/or necessary tables. Answers that come straight from calculators, programs
or software packages will not be accepted. If you need to use software (for
example, Excel) and /or online or hand-held calculators to aid in your calculation,
you must cite the sources and explain how you get the results.
Record your answers and work on the separate answer sheet provided.
This exam has 200 total points; 10 points for each question.
You must include the Honor Pledge on the title page of your submitted final exam.
Exams submitted without the Honor Pledge will not be accepted.
STAT 200: Introduction to Statistics Final Examination, Spring 2016 OL4 Page 2 of 7
1. True or False. Justify for full credit.
(a) If P(A) = 0.4 , P(B) = 0.5, and A and B are disjoint, then P(A AND B) = 0.2.
(b) If all the observations in a data set are identical, then the variance for this data set is 0.
(c) The mean is always equal to the median for a normal distribution.
(d) It’s easier to reject the null hypothesis at significance level of 0.01 than at significance
level of 0.05.
(e) In a two-tailed test, the value of the test statistic is 2. If we know the test statistic follows a
Student’s t-distribution with P(T >2) = 0.03, then we have sufficient evidence to reject the
null hypothesis at 0.05 level of significance.
2. Identify which of these types of sampling is used: cluster, convenience, simple random,
systematic, or stratified. Justify for full credit.
(a) The quality control department of a semiconductor manufacturing company tests every 100
th
product from the assembly line.
(b) UMUC STAT Club wanted to estimate the study hours of STAT 200 students. Two STAT 200
sections were randomly selected and all students from these two sections were asked to fill out
the questionnaire.
(c) A STAT 200 student is interested in the number of credit cards owned by college students. She
surveyed all of her classmates to collect sample data.
(d) In a career readiness research, 1.
Discrete Probability Distributions1.A group of people were.docx
Discrete Probability Distributions
1.A group of people were asked if they had run a red light in the last year. 446 responded "yes", and 344 responded "no".
Find the probability that if a person is chosen at random, they have run a red light in the last year.
Give your answer as a fraction or decimal to 4 decimal places
2. A random variable is defined as a process or variable with a numerical outcome. Which of the following are random variables?
The amount of rain, in inches, that will fall next Friday in Dallas, TX.
The major of a randomly drawn student from Arizona State University.
The number of books purchased next year by your local library.
i only
ii only
iii only
i and iii
ii and iii
i, ii, and iii
3. For families with 5 children, let XX be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable XX?
xx
P(x)P(x)
1
0.2842
2
0.0923
3
0.2544
4
0.1366
5
0.1097
· no
· yes
4. Assume that 12 jurors are randomly selected from a population in which 71% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities.
xx
P(x)P(x)
0
0+
1
0+
2
0.0001
3
0.0011
4
0.0063
5
0.0246
6
0.0704
7
0.1477
8
0.2261
9
0.246
10
0.1807
11
0.0804
12
0.0164
Find the probability of exactly 7 Mexican-Americans among 12 jurors. Round your answer to four decimal places.
P(x=7)=P(x=7)=
Find the probability of 7 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places.
P(x≤7)=P(x≤7)=
Does 7 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?
· yes
· no
5.
Probability
Scores
0.05
3
0.45
8
0.05
10
0.35
12
0.1
13
Find the expected value of the above random variable.
6. On a 9 question multiple-choice test, where each question has 3 answers, what would be the probability of getting at least one question wrong?
Give your answer as a fraction
7. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
7
10
2
19
Female
17
16
18
51
Total
24
26
20
70
If one student was chosen at random,
find the probability that the student got a B.
Give your answer as a fraction or decimal.
8. The table summarizes results from 989 pedestrian deaths that were caused by automobile accidents.
Driver
Intoxicated?
Pedestrian Intoxicated?
Yes
No
Yes
45
75
No
281
588
If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated or the driver was not intoxicated.
Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.
prob = %
9. Determine whether this table represents a probability d.
PERFORMANCE TASK 1 and 2.pptx STAT AND PROBAB
This document contains information about random variables including:
1) Five examples of random variables with possible values listed for each. Examples include the number of red balls drawn from an urn or the number of tails when coins are tossed.
2) Five multiple choice questions about random variables, including whether examples given are discrete or continuous random variables.
3) A request to provide five pictures of random variables and explain what makes each discrete or continuous.
The document contains tasks and questions regarding random variables, their possible values in given situations, and whether they are discrete or continuous. Examples of random variables are provided along with multiple choice questions to test understanding of key random variable concepts.
PSYC 317 – Spring 2015 Exam 3Answer the questions below to th.docx
This document contains details of an exam for a psychology course covering analysis of variance (ANOVA). It includes completion and short answer questions testing understanding of concepts like one-way and factorial ANOVA, correlations, regression, and repeated measures designs. It also includes multiple multi-part problems requiring calculations and interpretation for one-way ANOVA, factorial ANOVA, correlation, regression, and repeated measures ANOVA analyses of hypothetical research studies and data sets.
STATUse the information below to answer Questions 1 through 4..docx
The document provides information and questions related to statistics concepts including hypothesis testing, probability, sampling, and data analysis. It includes sample size, means, standard deviations, test statistics, critical values, and confidence levels for hypothesis tests. Questions involve probabilities and distributions for dice rolls, sports preferences among university students, apple weights, disease screening tests, fraud detection using Benford's law, and gemstone hardness tests. Other questions cover seating arrangements, swimming pool contamination sampling, and determining the number of dishes to order for a banquet.
A home pregnancy test was given to women, then pregnancy was verif.docx
A home pregnancy test was given to women, then pregnancy was verified through blood tests. The following table shows the home pregnancy test results.
Positive
Negative
Total
Pregnant
69
4
73
Not Pregnant
9
51
60
Total
78
55
133
Round your answers to the nearest thousandth.
PP (positive) ∣
pregnant) =
PP(pregnant)
positive) =
PP
(negative)
pregnant) =
PP(not pregnant)
negative) =
2
. A test was given to a group of students. The grades and gender are summarized below
A
B
C
Total
Male
4
15
16
35
Female
7
12
14
33
Total
11
27
30
68
If one student is chosen at random from those who took the test,
Find the probability that the student was female GIVEN they got an 'A'.
____________________________________________________
3
.
Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
10
7
9
26
Female
5
17
19
41
Total
15
24
28
67
If one student is chosen at random,
Find the probability that the student was male: ______
Find the probability that the student was male AND got a "C": ___________
Find the probability that the student was male OR got an "C": ___________
If one student is chosen at random, find the probability that the student got a 'B' GIVEN they are female: _____________
4
. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
6
9
3
18
Female
10
2
15
27
Total
16
11
18
45
If one student is chosen at random,
Find the probability that the student was male: _________
Find the probability that the student was male AND got a "C": ______
Find the probability that the student was male OR got a "C": ______
If one student is chosen at random, find the probability that the student was male GIVEN they got a 'C': ____________
5
. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
18
12
16
46
Female
8
3
13
24
Total
26
15
29
70
If one student is chosen at random,
Find the probability that the student was female:
Find the probability that the student was male AND got a "B":
Find the probability that the student was female OR got an "C":
If one student is chosen at random, find the probability that the student got a 'A' GIVEN they are female:
6
. Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
12
13
8
33
Female
19
2
20
41
Total
31
15
28
74
If one student is chosen at random,
Find the probability that the student was female AND got a "A".
7. A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below.
better
same
worse
Republican
38
104
44
Democrat
.
(8) Lesson 9.3
This document provides examples and explanations for constructing and interpreting two-way tables and relative frequencies. It includes two examples of creating two-way tables from survey data involving two categorical variables. It also shows how to find and interpret relative frequencies from the tables. The final questions discuss how patterns can be compared using two-way tables and relative frequencies, and how a Venn diagram can be used to construct a two-way table.
Question 1 of 402.5 PointsA die with 12 sides is rolled. What is.docx
Question 1 of 40
2.5 Points
A die with 12 sides is rolled. What is the probability of rolling a number less than 11? Is this the same as rolling a total less than 11 with two six-sided dice? Explain.
A. 2/6
B. 3/6
C. 4/6
D. 5/6
Question 2 of 40
2.5 Points
Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.413. Find the probability that in a given year it will not snow on January 1st in that town.
A. 0.345
B. 0.425
C. 0.587
D. 0.592
Question 3 of 40
2.5 Points
A study of 600 college students taking Statistics 101 revealed that 54 students received the grade of A. Typically 10% of the class gets an A. The difference between this group of students and the expected value is not significant at the 0.05 level. What does this mean in this case?
A. The probability that the difference occurred due to chance is less than 0.05.
B. The probability of getting an A is 10% and only 9% got an A in this study. The difference is less than 5% so it is not significant.
C. There is not enough information to make any conclusion.
D. The probability that the difference occurred due to chance is more than 0.05.
Question 4 of 40
2.5 Points
A committee of three people is to be formed. The three people will be selected from a list of five possible committee members. A simple random sample of three people is taken, without replacement, from the group of five people. Using the letters A, B, C, D, E to represent the five people, list the possible samples of size three and use your list to determine the probability that B is included in the sample. (Hint: There are 10 possible samples.)
A. 0.6
B. 0.4
C. 0.7
D. 0.8
Question 5 of 40
2.5 Points
If you flip a coin three times, the possible outcomes are HHH, HHT, HTH,
HTT, THH, THT, TTH, TTT. What is the probability of getting at least one head?
A. 4/9
B. 5/6
C. 7/8
D. 5/8
Question 6 of 40
2.5 Points
In the first series of rolls of a die, the number of odd numbers exceeded the number of even numbers by 5. In the second series of rolls of the same die, the number of odd numbers exceeded the number of even numbers by 11. Determine which series is closer to the 50/50 ratio of odd/even expected of a fairly rolled die.
A. The second series is closer because the difference between odd and even numbers is greater than the difference for the first series.
B. The first series is closer because the difference between odd and even numbers is less than the difference for the second series.
C. Since 1/2 > 1/5 > 1/11, the first series is closer.
D. The series closer to the theoretical 50/50 cannot be determined unless the total number of rolls for both series is given.
Reset Selection
Question 7 of 40
2.5 Points
A study of students taking Statistics 101 was done. Four hundred students who studied for more than 10 hours averaged a B. Two hundred students who studied for less than 10 hours averaged a C. This difference was significant at the 0.01 level. What does this mea.
Directions Type out the answers to all questions on a separate .docx
Directions
: Type out the answers to all questions on a separate sheet of paper. This sheet of paper or document will be known as the “Answer Sheet for Final Exam” Be sure to number your answer sheet in the same way the questions on the Final Exam are numbered. For this assignment, your answer sheet should be numbered from 1 through 50.
Where to submit Final Exam
: When you complete the assignment, you will submit it either by uploading it as an attachment or by cutting and pasting the assignment from your word processing program into the textbox. Both of these options appear at the bottom of the assignment page. If you cut and paste your assignment into the textbox, be sure to do so by choosing the option to “Paste from Word.” Using this option will maintain your original formatting. To access the “Paste from Word” option, click on the three dots that appear in the box in the far right hand corner of the textbox. After you do this, several more buttons should appear. Once these buttons appear, click on the arrow beside the picture of the clipboard in order to see the option “Paste from Word.” Click on this option and follow the directions provided.
If you submit your final exam as an attachment, label it in the following way: FELastName. If I were submitting the final exam, I would label it in the following way: FETolbert.
If you submit the final exam as an attachment, be sure to save it and attach it as a Rich Text Format (RTF) since the majority of computers can open an RTF attachment.
If you submit the final exam as an attachment that my computer will not open, I will return the assignment to you ungraded. The assignment will remain ungraded until you submit it in a form my computer will open
.
When to Submit Your Assignment:
The Final Exam is due by 11:59 Eastern Standard Time on
Sunday, December 14, 2014
.
How to Format Assignmen
t:
Title
: Center the following information at the top of the completed exercise:
Answer Sheet for Final Exam
Font
: 12pt Times New Roman
Spacing
: Double Spacing
If you have any questions about how to do the Final Exam or how to submit it, be sure to let me know.
EDCP 103 Final Exam
Fall 2014
Section I: Multiple choice and fill-in-the-blank
Each question in this section is worth 1 point.
Questions 1-6
Three passages out of the four in each question contain sentence fragments or run-on sentences. Choose the one correct sentence that is error-free.
1.
Taking classes at night helps me develop my job skills it also works well with my schedule.
Taking classes at night helps me develop my job skills, it also works well with my schedule.
C)
Taking classes at night helps me develop my job skills; it also works well with my schedule.
D)
Taking classes at night helps me develop my job skills. And also works well with my schedule.
2.
There are several good techniques for cleaning a room. For example, starting at the top of the room.
If time is limited, don’t worry, you can set aside .
Practical 1 07
1. The document provides information about an introduction to clinical genetics and cytogenetics practical organized by the Institute of Biology and Medical Genetics.
2. It outlines the requirements to obtain credit for the practical, including a minimum of 80% on tests, attendance at all sessions, and the potential to earn up to 5 extra points for an oral presentation.
3. The document describes different types of microscopes used in cytogenetics, including stereomicroscopes and fluorescent microscopes, and techniques for staining and observing chromosomes, such as Giemsa staining.
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This document discusses the fundamental counting principle and provides examples of how to use it to calculate the number of possible outcomes in various situations. It begins by defining anagrams and providing examples. It then presents two situations to count outcomes: choosing outfits from different clothing items and menu options at a restaurant. The document explains how to use tree diagrams or tables to count outcomes but that the fundamental counting principle is more efficient. It provides examples counting color and size combinations of shirts, possible ice cream sundaes, and school lunch options. Finally, it gives practice problems and homework assignments applying the fundamental counting principle.
Probability of Simple and Compound Events
This document contains a lesson plan on probability for students. It begins with definitions of key probability terms and examples of calculating probabilities of simple and compound events. It then provides word problems for students to practice calculating probabilities. The document concludes with additional practice problems for students to answer. The overall document provides instruction and practice on fundamental concepts in probability.
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acne vulgaris -Mpharm (2nd semester) Cosmetics and cosmeceuticals
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ProblemSet2.pdf
- 1. College of Engineering Engineering Data Analysis Math 403 Problem Set #2 (Probability) (Department) (Section) Submitted by: Instructor: Engr. Monique A. Coliat ,REE,RME
- 2. 1. Three randomly chosen senior high school students was administered a drug test. Each student was evaluated as positive to the drug test (P) or negative to the drug test (N). Assume the possible combinations of the three students drug test evaluation as PPP, PPN, PNP, NPP, PNN, NPN, NNP, NNN. Assuming each possible combination is equally likely, what is the probability that all three students get positive results? a. ¼ b. ½ c. ¾ d. 1/8 2. From past experience, it is known 90% of one year old children can distinguish their mother voice from the voice of a similar sounding female. A random sample of 20 one-year old are given this voice recognition test. Let the random variable x denote the number of children who do not recognize their mother's voice. Find the mean of x. a. 20 b. 2 c. 4 d. 1
- 3. 3. Jenny flipped a coin three times and got heads each time. What is the probability that she gets heads on the fourth flip? a. 1 b. 0 c. 1/16 d. ½ 4. Two hundred single-sport athletes were cross-classified according to gender as follows: Swimmer Runner Cyclist Male 25 60 25 Female 20 50 20 What is the probability that the athlete is male or a swimmer or both? a. 0.550 b. 0.450 c. 0.230 d. 0.005
- 4. 5. Three randomly chosen senior high school students were administered a drug test. Each student was evaluated as positive to the drug test (p) or negative to the drug test (N). Assume the possible combinations of the three students, Drug test evaluation as PPP, PPN, PNP, NPP, PNN, NPN, NNP, NNN. Assuming each possible combination is equally likely, what is the probability at least one student gets negative result? a. 4/8 b. 2/7 c. 7/8 d. 3/7 6. A bag contains 3 red, 6 blue, 5 purple and 2 orange marbles. One marble is selected at random. What is the probability that the marble is blue? a. 3/8 b. 3/16 c. 3/5 d. 4/13
- 5. 7. In a debate on two issues among 32 people, 16 agreed with the first issue, 10 agree with the second issue and of these 7 agreed with both. What is the probability of selecting a person at random who did not agree with either issue? a. 1/32 b. 3/10 c. 13/32 d. 3/8 8. The plate number of a vehicle consists of 5-alphanumeric sequence is arranged such that the first 2 characters are alphabet and the remaining 3 are digits. How many arrangements are possible if the first character is a vowel and repetitions are not allowed? a. 9000 b. 90000 c. 90 d. 900
- 6. 9. Mark has 5 pants and 7 shirts in his closet. He wants to wear a different pant/shirt combination each day without buying new clothes for as long as he can. How many weeks can he do this for? a. 4 b. 5 c. 6 d. 7 10. Twenty students enter a contest at school. The contest offers a first, second, and third prize. How many different combinations of 1st, 2nd, and 3rd place winners can there be? a. 8000 b. 400 c. 6840 d. 4620
- 7. 11. If a series of license plates is to be produced that all have the same pattern of three letters followed by three numbers, roughly how many alphanumeric combinations are possible? a. 17,576 b. 17,576,000 c. 1,757,600 d. 18,000,000 12. At an ice cream store, there are 5 flavors of ice cream: strawberry, vanilla, chocolate, mint, and banana. How many different 3-flavor ice cream cones can be made? a.60 b. 10 c. 20 d. 30
- 8. 13. Shannon decided to go to nearby café for lunch. She can have a sandwich made on either wheat or white bread. The café offers cheddar, Swiss, and American for cheese choices. For meat, Shannon can choose ham, turkey, bologna, roast beef, or salami. How many cheese and meat sandwich options does Shannon have to choose from? a.20 b. 10 c. 35 d. 30 14. The number of permutations of the letters of the word "ENGINEERING" is? a.277,200 b. 25,200 c. 92,400 d. 554,400
- 9. 15. Find the number of ways in which 5 people A, B, C, D, and E can be seated at a round table, such that: (i) A and B always sit together. (ii) C and D never sit together.