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[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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