Probability Distributions

The fire marshal of Baltimore County, Maryland, is compiling a report on single-family-dwelling fires. He has the following data on the number of such fires from the hast 2 years.

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Ted Olson, the director of Overnight Delivery, Inc, has become concerned about the number of first-class letters lost by his firm. Because these letters are carried by both truck and airplane, Mr. Olson has broken down the lost letters for the last year into those lost from trucks and those lost from airplanes. His data are as follows.

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Harry Byrd, the director of publications for the Baltimore Orioles is trying to decide how many programs to print for the team's upcoming three-game series with the Oakland A\s. Each program costs 25% to print and sells for $1.25 Any programs unsold at the end of the series must be discarded. Mr. Byrd has estimated following probability distribution for program sales, using data from past program sales.

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Airport Rent-a-Car is a locally operated business in competition with several major firms. ARC is planning a new deal for prospective customers who want to rent a car for only one and will return it to the airport. For $35, the company will rent a small economy car to a customer, whose only other expense is to fill the car with gas at day's end.ARC is planning to buy a number of small cars from the manufacturer at a reduced price of $6,300. The big question is how many to buy, Company executives have decided on the following distribution of demands per day for the service.

The company intends to offer the plan 6 days a week (312 days per year) and anticipates that its variable cost per car per day will be $2.50. After the end of one year, the company expects to sell the cars and recapture 50 percent of the original cost. Disregarding the time value of money and any noncash expenses, use the expected-loss method to determine the optimal number of cars for ARC to buy.

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We Car Air needs to make a decision about Flight 105. There are currently 3 seats reserved for last-minute customers, but the airline does not know if anyone will buy them.

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For a binomial distribution with n = 12 and p = 0.45, use Appendix Table 3 to find.

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Find the mean and standard deviation of the following binomial distributions:

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The latest nationwide political poll indicates that for Americans who are randomly selected, the probability that they are conservative is 0.55, the probability that they are liberal is 0.30, and the probability that they are middle-of-road is 0.15.

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For a binomial distribution with n = 7 and p = 0.2, find

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For a binomial distribution with n = 15 and p = 0.2, use Appendix Table 3 to find

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