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.
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?