9.15 On the basis of past data, the owner of an automobile dealership finds that, on average,8.5 cars are sold per day on Saturdays and Sundays during the months of January andFebruary, with the sales rate relatively stable throughout the day. Moreover, purchasesappear to be independent of one another. The dealership is open for 10 hours per day oneach of these days. There is no reason to believe that the sales for the upcoming year willbe any different from in the past.a On the first Saturday in February, the dealership will open at 9 A.M, Find the proba-bility that the time until the first sale is more than two hours, PE(T22 hours | m = 8.5cars per 10 hours).b Find the probability that the number of sales before 11 A.M. is equal to zero.Pp(X 0 in 2 hours m 8.5 cars per 10 hours). Compare your answer with that frompart a. Can you explain why the answers are the same?C The owner of the dealership gives her salespeople bonuses, depending on the totalnumber of cars sold. She gives them $20 whenever exactly 13 cars are sold on a givenday, $30 whenever 14 cars are sold, $50 whenever 15 cars are sold, and $70 whenever16 or more cars are sold. On any given Saturday or Sunday in January or February.what is the expected bonus that the dealer will have to pay?d Consider the bonus scheme presented in part e. February contains exactly fourSaturdays and four Sundays. What is the probability that the owner will have to paythe $20 bonuses exactly twice in those days?

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Answered: 9.15 On the basis of past data, the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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