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ProbabilityDistributions 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:SalesProbability
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.DemandFrequency
020 123 227 314 416
Find the expected demand for the high pressure cleaner.
P-3Forty 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 jobb) None have a summer jobc) All have a summer jobd) At least 2 have a summer job
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