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On Monday mornings, the First National Bank only has one teller window open for deposits and withdrawals. Experience has shown that the average number of arriving customers in a four-minute interval on Monday mornings is 2.8, and each teller can serve more than that number efficiently. These random arrivals at this bank on Monday mornings are Poisson distributed.

Appendix A Statistical Tables

*(Round your answers to 4 decimal places.)

**(Round your answer to 2 decimal places.)

a. What is the probability that on a Monday morning exactly six customers will arrive in a four-minute interval?

*b. What is the probability that no one will arrive at the bank to make a deposit or withdrawal during a four-minute interval?

*c. Suppose the teller can serve no more than four customers in any four-minute interval at this window on a Monday morning.What is the probability that, during any given four-minute interval, the teller will be unable to meet the demand?

* What is the probability that the teller will be able to meet the demand?

* When demand cannot be met during any given interval, a second window is opened. What percentage of the time will a second window have to be opened?

%**d. What is the probability that exactly three people will arrive at the bank during a two-minute period on Monday mornings to make a deposit or a withdrawal?

* What is the probability that five or more customers will arrive during an eight-minute period?

Reference no: EM131929576

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