On the Average, 6

question 76

Essay

On the average, 6.7 cars arrive at the drive-up window of a bank every hour. Define the random variable X to be the number of cars arriving in any hour.
a.What is the appropriate probability distribution for X? Explain how X satisfies the properties of the distribution.
b.Compute the probability that exactly 5 cars will arrive in the next hour.
c.Compute the probability that no more than 5 cars will arrive in the next hour.

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Definitions:

Average

A numerical value derived from the sum of several quantities divided by the number of quantities.

Goods Available

The total inventory that a business has ready for sale, including both existing inventory and newly acquired goods.

Cost Of Goods

The total cost incurred in the production of goods sold by a company, including materials, labor, and overhead expenses.