## [answered] Many of a bank's customers use its automatic teller ma

 Many of a bank?s customers use its automatic teller machine to transact business after normal banking hours. During the early evening hours in the summer months, customers arrive at a certain location at the rate of one every other minute. This can be modeled using a Poisson distribution. Each customer spends an average of 85 seconds completing his or her transactions. Transaction time is exponentially distributed.

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 a. Determine the average time customers spend at the machine, including waiting in line and completing transactions.?(Do not round intermediate calculations. Round your answer to the nearest whole number.)

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 ??Average time ?minutes ?

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 b. Determine the probability that a customer will not have to wait upon arriving at the automatic teller machine.?(Round your answer to 2 decimal places.)

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 ??Probability ??

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 c. Determine the average number of customers waiting to use the machine.?(Round your answer to 2 decimal places.)

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 ??Average number ?customers??

Many of a bank?s customers use its automatic teller machine to transact business after normal

banking hours. During the early evening hours in the summer months, customers arrive at a

certain...

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