Assignment 05 MA260 Statistical Analysis I Directions: Be sure to save an electronic copy of your answer before submitting it to Ashworth College for grading. Unless otherwise stated, answer in complete sentences, and be sure to use correct English, spelling, and grammar. Refer to the "Assignment Format" page located on the Course Home page for specific format requirements. NOTE: Show your work in the problems. 1. Compute the mean and variance of the following discrete probability distribution. x P(x) 2 .50 8 .30 10 .20 2. The Computer Systems Department has eight faculty, six of whom are tenured. Dr. Vonder, the chair, wants to establish a committee of three department faculty members to review the curriculum. If she selects the committee at random: a. What is the probability all members of the committee are tenured? b. What is the probability that at least one member is not tenured? (Hint: For this question, use the complement rule). 3. New Process, Inc., a large mail-order supplier of women’s fashions, advertises same-day service on every order. Recently, the movement of orders has not gone as planned, and there were a large number of complaints. Bud Owens, director of customer service, has completely redone the method of order handling. The goal is to have fewer than five unfilled orders on hand at the end of 95% of the working days. Frequent checks of the unfilled orders follow a Poisson distribution with a mean of two orders. A Poisson distribution is a discrete frequency distribution. Has New Process, Inc. lived up to its internal goal? Cite evidence. 4. Recent information published by the U.S. Environmental Protection Agency indicates that Honda is the manufacturer of four of the top nine vehicles in terms of fuel economy. a. Determine the probability distribution for the number of Hondas in a sample of three cars chosen from the top nine. b. What is the likelihood that in the sample of three at least one Honda is included? Grading Rubric Please refer to the rubric below for the grading criteria for this assignment. CATEGORYExemplarySatisfactoryUnsatisfactoryUnacceptable 15 points11 points7 points3 points The student provides a clear and logical table to organize data and accurately includes the equations and the correct answers for the mean and the variance. The student provides an adequate table to organize data and accurately includes the equations and the correct answer for either the mean or the variance. The student does not provide a clear and logical table to organize data and accurately includes the equations and may have only one correct answer for the mean or the variance. The student does not provide a clear and logical table to organize data and has only 1 accurate equation and one correct answer for the mean or the variance. 20 points15 points10 points5 points The student provides correct equations and answers for both parts of the question. The student provides correct equatio ...

1. Assignment 05
MA260 Statistical Analysis I
Directions: Be sure to save an electronic copy of your answer
before submitting it to Ashworth College for grading. Unless
otherwise stated, answer in complete sentences, and be sure to
use correct English, spelling, and grammar. Refer to the
"Assignment Format" page located on the Course Home page for
specific format requirements.
NOTE: Show your work in the problems.
1. Compute the mean and variance of the following discrete
probability distribution.
x
P(x)
2
.50
8
.30
10
.20
2. The Computer Systems Department has eight faculty, six
of whom are tenured. Dr. Vonder, the chair, wants to establish a
committee of three department faculty members to review the
curriculum. If she selects the committee at random:
a. What is the probability all members of the committee are
tenured?
b. What is the probability that at least one member is not
tenured? (Hint: For this question, use the complement rule).

2. 3. New Process, Inc., a large mail-order supplier of women’s
fashions, advertises same-day service on every order. Recently,
the movement of orders has not gone as planned, and there were
a large number of complaints. Bud Owens, director of customer
service, has completely redone the method of order handling.
The goal is to have fewer than five unfilled orders on hand at
the end of 95% of the working days. Frequent checks of the
unfilled orders follow a Poisson distribution with a mean of two
orders. A Poisson distribution is a discrete frequency
distribution.
Has New Process, Inc. lived up to its internal goal? Cite
evidence.
4. Recent information published by the U.S. Environmental
Protection Agency indicates that Honda is the manufacturer of
four of the top nine vehicles in terms of fuel economy.
a. Determine the probability distribution for the number of
Hondas in a sample of three cars chosen from the top nine.
b. What is the likelihood that in the sample of three at least
one Honda is included?
Grading Rubric
Please refer to the rubric below for the grading criteria for this
assignment.
CATEGORYExemplarySatisfactoryUnsatisfactoryUnacceptable
15 points11 points7 points3 points
The student provides a clear

3. and logical table to organize
data and accurately includes
the equations and the correct
answers for the mean and
the variance.
The student provides an
adequate table to organize
data and accurately includes
the equations and the
correct answer for either
the mean or the variance.
The student does not
provide a clear and logical
table to organize data and
accurately includes the
equations and may have
only one correct answer for
the mean or the variance.
The student does not
provide a clear and logical
table to organize data and
has only 1 accurate
equation and one correct
answer for the mean or the
variance.
20 points15 points10 points5 points
The student provides correct
equations and answers for
both parts of the question.
The student provides correct
equations and only one
correct answer to the
questions.
The student provides
correct equations and no
correct answers to the

4. questions.
The student provides one
correct equation and no
correct answers to the
questions.
20 points15 points10 points5 points
The student provides the
correct equation and answer
for the question and
provides supporting
evidence.
The student provides correct
equation and answer for the
question but does not
provide supporting
evidence.
The student provides the
correct equation and
incorrect answer for the
question but does not
provide supporting
evidence.
The student provides the
correct equation and
incorrect answer for the
question and does not
provide supporting
evidence.
20 points15 points10 points5 points
The student provides correct
equations and answers for
both parts of the question.
The student provides correct
equations and only one
correct answer to the
questions.

5. The student provides
correct equations and no
correct answers to the
questions.
The student provides one
correct equation and no
correct answers to the
questions.
10 points 8 points 5 points 2 points
Student makes no errors in
grammar or spelling that
distract the reader from the
content.
Student makes 1-2 errors in
grammar or spelling that
distract the reader from the
content.
Student makes 3-4 errors in
grammar or spelling that
distract the reader from the
content.
Student makes more than
4 errors in grammar or
spelling that distract the
reader from the content.
15 points 12 points 8 points 5 points
The paper is written in
proper format. All sources
used for quotes and facts are
credible and cited correctly.
Excellent organization,
including a variety of
thoughtful transitions.
The paper is written in
proper format with only 1-2
errors. All sources used for

6. quotes and facts are credible
and most are cited correctly.
Adequate organization
includes a variety of
appropriate transitions.
The paper is written in
proper format with only 3-5
errors. Most sources used
for quotes and facts are
credible and cited correctly.
Essay is poorly organized,
but may include a few
effective transitions.
The paper is not written in
proper format. Many
sources used for quotes
and facts are less than
credible (suspect) and/or
are not cited correctly.
Essay is disorganized and
does not include effective
transitions.
Format - APA
Format, Citations,
Organization,
Transitions (15
Points)
Mechanics -
Grammar,
Punctuation,
Spelling (10 Points)
The student creates
a table organizing
the data and
performs the
computations for

7. the mean and the
variance in #1.
The student
performs the
calculations and
answer to question
#3. Evidence is
included (i.e.
explanation/answer
to question)
The student
completes the
equations and
computations for #4
Parts a and b.
The student
performs the
calculations on the
probability
questions #2 Parts a
and b.
Assignment 08
MA260 Statistical Analysis I
Directions: Be sure to save an electronic copy of your answer
before submitting it to Ashworth College for grading. Unless
otherwise stated, answer in complete sentences, and be sure to
use correct English, spelling, and grammar. Refer to the
"Assignment Format" page located on the Course Home page for
specific format requirements.
NOTE: Show your work in the problems.
1. A recent article in the Myrtle Beach Sun Times reported
that the mean labor cost to repair a color television is $90 with
a standard deviation of $22. Monte’s TV Sales and Service

8. completed repairs on two sets this morning. The labor cost for
the first was $75 and it was $100 for the second. Compute z
values for each and comment on your findings.
2. The mean of a normal distribution is 400 pounds. The
standard deviation is 10 pounds.
a. What is the area between 415 pounds and the mean?
b. What is the area between the mean and 395 pounds?
c. What is the probability of selecting a value at random and
discovering that it has a value of less than 395 pounds?
3. The monthly sales of mufflers in the Richmond, VA area
follow the normal distribution with a mean of 1200 and a
standard deviation of 225. The manufacturer would like to
establish inventory levels such that there is only a 5% chance of
running out of stock. Where should the manufacturer set the
inventory levels?
4. Research on new juvenile delinquents revealed that 38% of
them committed another crime.
a. What is the probability that of the last 100 new juvenile
delinquents put on probation, 30 or more will commit another
crime?
b. What is the probability that 40 or fewer of the delinquents
will commit another crime?
c. What is the probability that between 30 and 40 of the
delinquents will commit another crime?
5. An Air Force study indicates that the probability of a
disaster such as the January 28, 1986 explosion of the space

9. shuttle Challenger was 1 in 35. The Challenger flight was the
25th mission.
a. How many disasters would you expect in the first 25
flights?
b. Use the normal approximation to estimate the probability
of at least one disaster in 25 missions.
Grading Rubric
Please refer to the rubric below for the grading criteria for this
assignment.
CATEGORYExemplarySatisfactoryUnsatisfactoryUnacceptable
15 points11 points7 points3 points
The student sets up both
equations correctly and
provides the correct answer
for each.
The student sets up both
equations correctly and
provides the correct answer
for only one question.
The student sets up both
equations correctly and
provides the correct answer
for neither question.
The student sets up only
one equation correctly and
provides the correct
answer for only one
question.

10. 15 points11 points7 points3 points
The student sets up all
equations correctly and
provides 3 correct answers.
The student sets up 3
equations correctly and
provides 2 or less correct
answers.
The student sets up 2
questions correctly and
provides 1 or less correct
answers.
The student sets up 1
question correctly and
provides 1 or less correct
answers.
15 points11 points7 points0 points
The student sets up the
equation correctly and
provides the correct answer.
The student sets up the
equation correctly and does
not provide the correct
answer.
The student does not set up
the equation correctly and
does not provide the
correct answer.
The student does not
provide the equation or
the answer.
15 points11 points7 points3 points
The student sets up all
equations correctly and
provides 3 correct answers.
The student sets up 3

11. equations correctly and
provides 2 or less correct
answers.
The student sets up 2
questions correctly and
provides 1 or less correct
answers.
The student sets up 1
question correctly and
provides 1 or less correct
answers.
15 points11 points7 points3 points
The student sets up both
equations correctly and
provides the correct answer
for each.
The student sets up both
equations correctly and
provides the correct answer
for only one question.
The student sets up both
equations correctly and
provides the correct answer
for neither question.
The student sets up only
one equation correctly and
provides the correct
answer for only one
question.
10 points 8 points 5 points 2 points
Student does not make any
errors in grammar or spelling,
especially those that distract
the reader from the content.
Student makes 1-2 errors in
grammar or spelling that

12. distract the reader from the
content.
Student makes 3-4 errors in
grammar or spelling that
distract the reader from the
content.
Student makes more than
4 errors in grammar or
spelling that distract the
reader from the content.
15 points 12 points 8 points 5 points
The paper is written in
proper APA and
organizational format. All
sources used for quotes and
facts are credible and cited
correctly. Excellent
organization, including a
variety of thoughtful
transitions.
The paper is written in
proper format with only 1-2
errors. All sources used for
quotes and facts are
credible, and most are cited
correctly. Adequate
organization includes a
variety of appropriate
transitions.
The paper is written in
proper format with only 3-5
errors. Most sources used
for quotes and facts are
credible and cited correctly.
Essay is poorly organized,
but may include a few

13. effective transitions.
The paper is not written in
proper format. Many
sources used for quotes
and facts are less than
credible (suspect) and/or
are not cited correctly.
Essay is disorganized and
does not include effective
transitions.
The student
includes the
equations and
solves Parts a, b,
and c for #4.
The student
includes the
equations and
answers for Parts a
and b for #5.
Format - APA
Format, Citations,
Organization,
Transitions (15
Points)
The student sets up
the equations for #1
and solves them.
Mechanics (10
Points)
The student solves
Parts a, b, and c for
#2.
The student shows
the equation and
the answer for #3.