Question: A small bank has three tellers, who are equally efficient and who are each capable of handling an average of 60 customer transactions per hour,

A small bank has three tellers, who are equally

A small bank has three tellers, who are equally efficient and who are each capable of handling an average of 60 customer transactions per hour, with the actual service times exponentially distributed. Customers arrive at the bank according to a Poisson process, at a mean rate of 100 per hour. Determine the following: a) the probability that there are more than four customers in the bank at the same time. Answer in four decimal places. b) the probability that a given teller is idle. Answer in 4 decimal places. c) the time the customer waits. Answer in 3 decimal places

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