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STAT 200 Week 4 Homework Complete Solution
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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

 

 

 

 

 

 

 

  1. What is the probability of selling 5 houses in a month?
  2. 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 high school graduate work during the summer to earn money for college tuition for the upcoming fall term.  Assuming a binomial distribution, if 6 graduates are selected at random, what is the probability that:

a) 3 have a summer job

b) None have a summer job

c) All have a summer job

d) At least 2 have a summer job

 

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