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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

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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
equations and only one
correct answer to the
questions.

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.
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.

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
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.