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? *When demand cannot be met What is the probability that the teller will be able to meet the demand? 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 *What is the probability that five or more customers will arrive during an eight- deposit or a withdrawal? minute period? C A