Question
Many of a bank's customers use its automated banking machine (ABM). During the early evening hours in the summer months, customers arrive at the ABM
Many of a bank's customers use its automated banking machine (ABM). During the early evening hours in the summer months, customers arrive at the ABM at the rate of one every other minute (assume Poisson). Each customer spends an average of 96 seconds completing the transaction. Transaction times are exponentially distributed. Assume that the length of the queue is not a constraint.
. Determine the average time customers spend at the machine, including waiting in line and completing transactions. (Round the intermediate calculations to 2 decimal places. Round the calculation of the service rate to the nearest whole number. Round the final answer to 1 decimal place.)
b. Determine the probability that a customer will not have to wait upon arrival at the ABM. (Round the value of "" to the nearest whole number. Round the final answer to 2 decimal places.)
c. Determine the utilization of the ABM. (Round the value of "" to the nearest whole number. Round the final answer to 2 decimal places.)
d. Determine the probability that a customer waits five minutes or more in the line. (Round the final answer to 3 decimal places.)
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