Many of a bank’s customers use its automatic teller machine to transact business after normal banking hours. During the

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Many of a bank’s customers use its automatic teller machine totransact business after normal banking hours. During the earlyevening hours in the summer months, customers arrive at a certainlocation at the rate of one every other minute. This can be modeledusing a Poisson distribution. Each customer spends an average of 88seconds completing his or her transactions. Transaction time isexponentially distributed.
a. Determine the average time customers spend at the machine,including waiting in line and completing transactions. (Do notround intermediate calculations. Round your answer to the nearestwhole number.)
Average time 6 minutes
b. Determine the probability that a customer will not have towait upon arriving at the automatic teller machine. (Round youranswer to 2 decimal places.)
Probability
c. Determine the average number of customers waiting to use themachine. (Round your answer to 2 decimal places.)
Average number customers