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.