Probability Distributions Problem Set

Solutions are provided at the end of the document

P-1 The salespeople at Owl Realty sell up to 9 houses per month. The probability distribution of a salesperson selling n houses in a month is as follows:

Sales

Probability

0

.05

1

.10

2

.15

3

.20

4

.15

5

6

.10

7

.05

8

.05

9

.05

a. What is the probability of selling 5 houses in a month?

b. What are the expected value and the standard deviation for the number houses sold by the salespeople per month?

P-2 The following data has been recorded regarding the rental history of a high pressure cleaner at a home improvement store.

Demand

Frequency

0

20

1

23

2

27

3

14

4

16

Find the expected demand for the high pressure cleaner.

P-3 Forty percent of all...