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STAT 200 Week 4 Homework Complete Solution
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Probability Distributions Problem Set
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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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