Statistics homework

Assignment 7

1. Oriental Reproductions, Inc. is a company that produces handmade carpets with oriental

designs. The production records show that the monthly production has ranged from 1 to 5

carpets. The production levels and their respective probabilities are shown below.

Production per

month (x)

Probability

1

2

3

4

5

0.01

0.04

0.10

0.80

0.05

Calculate the expected monthly production level and the standard deviation for the

production. Show mathematical detail to receive full credit. You will receive a zero

just for providing the final answer.

2. In a large corporation, 65% of the employees are male. A random sample of five

employees is selected. Use the Binomial probability tables to answer the following

questions. Show mathematical detail to receive full credit. You will receive a zero

just for providing the final answer.

a. What is the probability that the sample contains exactly three male employees?

b. What is the probability that the sample contains no male employees?

c. What is the probability that the sample contains more than three female employees?

d. What is the expected number of female employees in the sample?

3. On the average, 6.7 cars arrive at the drive-up window of a bank every hour. Define the

random variable X to be the number of cars arriving in any hour. Show mathematical

detail to receive full credit. You will receive a zero just for providing the final

answer.

a. What is the appropriate probability distribution for X?

b. Compute the probability that exactly 5 cars will arrive in the next hour.

c. Compute the probability that no more than 5 cars will arrive in the next hour.