Convert from service time to service rate

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Reference no: EM132245849

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 30 per hour. This can be modeled using a Poisson distribution. Each customer spends an average of 81 seconds completing his or her transactions. Transaction time is exponentially distributed.

a. Convert from service time to service rate (μ) by determining the number of customers who complete transactions per hour. (Tip: There are 3600 seconds in an hour.

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

c. Determine the average number of customers waiting to use the machine

d. Determine the average time a customer spends waiting in line.

e. Determine the average time a customer spends at the ATM machine, including waiting in line and completing transactions.

Reference no: EM132245849

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