Assignment 05 MA260 Statistical Analysis I

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.

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?

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