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AN AVERAGE OF 8.5 CARS ARE SOLD PER 10-HOUR DAY ON SATURDAYS AND SUNDAYS IN JANUARY AND FEBRUARY.

AN AVERAGE OF 8.5 CARS ARE SOLD PER 10-HOUR DAY ON SATURDAYS AND SUNDAYS IN JANUARY AND FEBRUARY.

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Author: Christine Farr
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An average of 8.5 cars are sold per 10-hour day on Saturdays and Sundays in January and February.  A) On the first Saturday in February, the dealership opens at 9am.  Find the probability that the time until the first sale is more than 2 hours.  P(T >= 2 hours|m=8.5 cars per 10 hours).  B) Find the probability that the number of sales before 11am is equal to zero.  P(X=0 in 2 hours|m=8.5 cars per 10 hours).  C) The owner pays his salespeople bonuses based on the number of cars sold per day.  $200 for 13 cars, $300 for 14 cars, $500 for 15 cars, and $700 for 16 cars.  On any given day, what is the expected bonus the owner will have to pay.  D) Based on the bonus information in Part C, there are 4 Saturdays and 4 Sundays in February.  What is the probability that the owner will have to pay the $200 bonus exactly twice in those days?


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