Bank customers use its automatic teller machine

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Reference no: EM132197270

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 83 seconds completing his or her transactions. Transaction time is exponentially distributed.

Determine:

a. The average time customers spend at the machine, including waiting in line and completing transactions.

b. The probability that a customer will not have to wait upon arriving at the automatic teller machine.

Reference no: EM132197270

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