Math Assignment 5
Total 25 points
(All answers worth 1 point except for Question 17 = 4 points)
1. If only one of several events can occur at a time, we refer to these events as being mutually exclusive events.
True or False
2. The Cunard luxury liner, Queen Elizabeth 2, cannot be docked in Hong Kong and Bangkok at the same time. Events such as these that cannot occur simultaneously are said to be outcomes.
True or False
3. Bayes' theorem is used to calculate a subjective probability.
True or False
4. The National Center for Health Statistics reported that of every 883 deaths in recent years, 24 resulted from an automobile accident, 182 from cancer and 333 from heart disease. Using the relative frequency approach, what is the probability that a particular death is due to an automobile accident?
A) 24/883 or 0.027
B) 539/883 or 0.610
C) 24/333 or 0.072
D) 182/883 or 0.206
Answer =
5. If two events A and B are mutually exclusive, what does the special rule of addition state?
A) P(A or B) = P(A) + P(B)
B) P(A and B) = P(A) + P(B)
C) P(A and/or B) = P(A) + P(B)
D) P(A or B) = P(A) – P(B)
Answer =
6. There are 10 rolls of film in a box and 3 are defective. Two rolls are to be selected without replacement. What is the probability of selecting a defective roll followed by another defective roll?
A) 1/2, or 0.50
B) 1/4, or 0.25
C) 1/120, or about 0.0083
D) 1/15, or about 0.07
Answer =
7. A lamp manufacturer has developed five lamp bases and four lampshades that could be used together. How many different arrangements of base and shade can be offered?
A) 5
B) 10
C) 15
D) 20
Answer =
8. The first card selected from a standard 52-card deck was a king. If it is NOT returned to the deck, what is the probability that a king will be drawn on the second selection?
A) 1/3 or 0.33
B) 1/51, or 0.0196
C) 3/51, or 0.0588
D) 1/13 or 0.077
Answer =
9. When are two events mutually exclusive?
A) They overlap on a Venn diagram
B) If one event occurs, then the other cannot
C) Probability of one affects the probability of the other
D) Both (a) and (b)
Answer =
10. The process used to calculate the probability of an event given additional information has been obtained is
A) Bayes's theorem.
B) classical probability.
C) permutation.
D) subjective probability.
Answer =
11. If there are five vacant parking places and five automobiles arrive at the same time, in how many different ways they can park? ____________
12. To construct a binomial probability distribution, the number of trials and the probability of success must be known.
True or False
13. Which is true for a binomial distribution?
A) There are three or more possible outcomes
B) Probability of success remains the same from trial to trial
C) Value of p is equal to 1.50
D) All of the above are correct
Answer =
14. A study of the opinion of designers with respect to the primary color most desirable for use in e ...
Math Assignment 5Total 25 points(All answers worth 1 point exc.docx
1. Math Assignment 5
Total 25 points
(All answers worth 1 point except for Question 17 = 4 points)
1. If only one of several events can occur at a time, we refer to
these events as being mutually exclusive events.
True or False
2. The Cunard luxury liner, Queen Elizabeth 2, cannot be
docked in Hong Kong and Bangkok at the same time. Events
such as these that cannot occur simultaneously are said to be
outcomes.
True or False
3. Bayes' theorem is used to calculate a subjective
probability.
True or False
4. The National Center for Health Statistics reported that of
every 883 deaths in recent years, 24 resulted from an
automobile accident, 182 from cancer and 333 from heart
disease. Using the relative frequency approach, what is the
probability that a particular death is due to an automobile
accident?
A) 24/883 or 0.027
B) 539/883 or 0.610
C) 24/333 or 0.072
D) 182/883 or 0.206
Answer =
5. If two events A and B are mutually exclusive, what does the
special rule of addition state?
A) P(A or B) = P(A) + P(B)
B) P(A and B) = P(A) + P(B)
C) P(A and/or B) = P(A) + P(B)
D) P(A or B) = P(A) – P(B)
Answer =
2. 6. There are 10 rolls of film in a box and 3 are defective. Two
rolls are to be selected without replacement. What is the
probability of selecting a defective roll followed by another
defective roll?
A) 1/2, or 0.50
B) 1/4, or 0.25
C) 1/120, or about 0.0083
D) 1/15, or about 0.07
Answer =
7. A lamp manufacturer has developed five lamp bases and four
lampshades that could be used together. How many different
arrangements of base and shade can be offered?
A) 5
B) 10
C) 15
D) 20
Answer =
8. The first card selected from a standard 52-card deck was a
king. If it is NOT returned to the deck, what is the probability
that a king will be drawn on the second selection?
A) 1/3 or 0.33
B) 1/51, or 0.0196
C) 3/51, or 0.0588
D) 1/13 or 0.077
Answer =
9. When are two events mutually exclusive?
A) They overlap on a Venn diagram
B) If one event occurs, then the other cannot
3. C) Probability of one affects the probability of the other
D) Both (a) and (b)
Answer =
10. The process used to calculate the probability of an event
given additional information has been obtained is
A) Bayes's theorem.
B) classical probability.
C) permutation.
D) subjective probability.
Answer =
11. If there are five vacant parking places and five automobiles
arrive at the same time, in how many different ways they can
park? ____________
12. To construct a binomial probability distribution, the number
of trials and the probability of success must be known.
True or False
13. Which is true for a binomial distribution?
A) There are three or more possible outcomes
B) Probability of success remains the same from trial to trial
C) Value of p is equal to 1.50
D) All of the above are correct
Answer =
14. A study of the opinion of designers with respect to the
primary color most desirable for use in executive offices
showed that:
What is the probability that a designer does not preferred?
4. A) 1.00
B) 0.77
C) 0.73
D) 0.23
Answer =
15. An automatic machine inserts mixed vegetables into a
plastic bag. Past experience revealed that some packages were
underweight and some were overweight, but most of them had
satisfactory weight.
What is the probability of selecting three packages that are
satisfactory?
A) 0.900
B) 0.810
C) 0.729
D) 0.075
Answer =
16. A cell phone salesperson has kept records on the customers
who visited the store. 40% of the customers who visited the
store were female. Furthermore, the data show that 35% of the
females who visited his store purchased a cell phone, while 20%
of the males who visited his store purchased a cell phone. Let
represent the event that a customer is a female, represent the
event that a customer is a male, and B represent the event that a
customer will purchase a phone. (3 answers for this questions.)
16 A. What is the probability that a female customer will
purchase a cell phone?
Answer ____________
16 B. What is the probability that a male customer will purchase
5. a cell phone?
Answer ____________
16 C. The salesperson has just informed us that a cell phone was
purchased. What is the probability that customer was female?
Answer ____________
17. Draw a Venn diagram showing the probability for two
mutually exclusive events and a Venn diagram showing the
probability for two events that are not mutually exclusive.
Explain the difference in the two diagrams. If you are not able
to draw, then explain the diagram – how it would look. Worth 4
points.
18. A new computer game has been developed and 80 veteran
game players will test its market potential. If sixty players
liked the game, what is the probability that any veteran game
player will like the new computer game? _______
19. When applying the special rule of addition for mutually
exclusive events, the joint probability is:
A) 1
B) .5
C) 0
D) unknown
20. Routine physical examinations are conducted annually as
part of a health service program for the employees. It was
discovered that 8% of the employees needed corrective shoes,
15% needed major dental work and 3% needed both corrective
shoes and major dental work. What is the probability that an
employee selected at random will need either corrective shoes
or major dental work?
A) 0.20
B) 0.25
C) 0.50
D) 1.00
6. E) None of the above
21. Calculate the sample mean, sample variance, and sample
standard deviation for the following data set: 3.0 ; 3.4 ; 2.6 ; 3.3
; 3.5 ; 3.2
Primary Color
Number of Opinions
Red
92
Orange
86
Yellow
46
Green
91
Blue
37
Indigo
15. Mich.20DareianWatkinsFRWR6’ 1”195Galion,
OhioBryanWatson IIFRDB5’ 9”155Farmington Hills,
Michigan19NickWheelerSOQB6’ 0”180Mansfield,
Ohio6StefanWillisSODB6’ 0”185Akron,
Ohio10AustinWoodsideFRQB5’ 11”200Chesterfield,
MichiganBrantZemelkaFRSS5’ 11”180Middlefield, Ohio
Math 273
Sampling Procedures for Project 1
On the course portal webpage there is a file called “Project 1
Data.” This is the data file you want.
1. Save the Project 1 Data to your I:/ drive. Open the file in
Excel.
2. Find the name closest to your last name on the list. This is
the first member of your sample. In my case this is Deandre
Bell.
3. Select the entire row using the row tag on the left end.
4. Start counting with the next name on the list. Count down
three names. While holding the “Ctrl” key, select the row by
clicking on the row tag. You now have two non-adjacent rows
selected. Count down three more lines and select the next
member of your sample. Repeat this procedure until you have
thirty players. If you reach the bottom of the list go to the top
and continue.
5. “Copy” the selection. Now go to the “Blank” worksheet and
“Paste” the selection. You will now have your sample of thirty
players in its own sheet for analysis.
MAT 273 — Applied Statistics: PROJECT I
50 points
16. Tu University Football Team 2015
This past couple of weeks you have just studied the topics of
mean, median, mode, quartiles and standard deviation. Now, we
are going to use these mathematical concepts to analyze the
weights of the Tiffin University football team. Attached is a
roster of the players with their weights, and an electronic form
of this data is available on the course webpage.
Data Analysis:
Find your own personal sample of 30 players by starting at the
player named in the email that accompanied this assignment.
Start counting with the next person on the list, and take every
third person on the list until you get 30 people. (Jump to the top
of the table if you run out.)
Compute the five-number summary using the sample data above
and then construct a box-and-whisker plot for the data. If you
wish, you can use the graph template document and stretch the
elements to fit your data, or draw the graph neatly and
accurately by hand.
Calculate the mean and standard deviation for the sample data.
Use the mean and standard deviation from Part 3 to create an
Empirical Rule graph (normal curve). Compare the curve to the
box and whisker plot to determine if the data “roughly” follows
the Empirical Rule. If you wish, you can use the graph template
document and stretch the elements to fit your data.
The population mean for the entire team is 214.6 pounds and
population standard deviation for the entire team is 42.2
pounds. Compare these to the results for step 3. Do your sample
statistics fairly represent the population parameters?
17. Report your findings:
In addition to submitting all work and calculations (whether
done by hand or on Excel), you are to submit a word-processed
6-paragraph summary of the assignment and your findings. The
summary should be formatted with one paragraph for the
introduction , one paragraph of analysis/interpretation for each
of steps two through five listed above, and a one-paragraph
conclusion. The summary should notdetail your method of
calculations, rather it should report and interpret the results of
your calculations and what they mean. Submit the data, the
calculations, the graphs, and the analysis paper to Moodle or to
the instructor on or before the due date.
2015 Football Roster
#
First Name
Last Name
Cl.
Pos.
Ht.
Wt.
Hometown
60
Warsame
Aden
FR
OL
6’ 5”
278
Columbus, Ohio
4
Jalen
18. Alexander
SO
DB
5’ 10”
180
Miami Gardens, Fla.
71
Matt
Anderson
FR
OL
6’ 4”
295
Monticello, Indiana
10
Jeremy
Armstrong
JR
WR
6’ 3”
205
Springfield, Ohio
25
Roamelle
Bell
SR
CB
5’ 9”
182
Shaker Heights, Ohio
Jonathan
24. Contee
SO
DB
5’ 9”
160
Tracey's Landing, MD
84
Pedro
Correa III
SR
WR
6’ 1”
165
Deerfield Beach, Fla.
15
Mike
Covington
JR
LB
6’ 1”
210
Columbus, Ohio
65
Kameron
Crim
FR
OL
6’ 4”
305
Covington, Kentucky
Alec
33. Ivery
FR
WR
5’ 10”
185
South Bend, Indiana
Marvin
Jackson III
FR
DB
6’ 2”
180
Oberlin, Ohio
43
Austin
Jasper
SO
LB
6’ 3”
235
Earlville, N.Y.
27
Sean
Johnson
SO
S
6’ 0”
195
Miramar, Florida
8
Vinny