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In excel 4. ( 8 points) Neve Commercial Bank is the only bank in the town of York, Pennsylvania. On a typical Friday, an average

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In excel

4. ( 8 points) Neve Commercial Bank is the only bank in the town of York, Pennsylvania. On a typical Friday, an average of 10 customers per hour arrive at the bank to transact business. There is currently one teller at the bank, and the average time required to transact business is 4 minutes. Assuming Poisson arrivals and exponential service times, find the: (a) average time in the line. (b) average number in the line. (c) average time in the system. (d) average number in the system. (e) probability that the bank is empty. 5. (4 points) Susan Anderson's Car Wash takes a constant time of 4.8 minutes in its automated car wash cycle. Autos arrive following a Poisson distribution at the rate of 10 per hour. Susan wants to know: (a) The average waiting time in line. (b) The average length of the line

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