Question: NOTE!!! SHOW SOLUTIONS AND FORMULA IN MS EXCEL 4 4. For a number of months, Harry Jones, manager of a downtown barbershop, has been recording

NOTE!!! SHOW SOLUTIONS AND FORMULA IN MS EXCEL NOTE!!! SHOW SOLUTIONS AND FORMULA IN MS EXCEL 4

4 4. For a number of months, Harry Jones, manager of a downtown barbershop, has been recording the number of customers who arrive during successive 30-minute time periods. The following is Harry's record for a total of five hundred 30-minute intervals: Number of customers arriving during a 30-minute interval 0 1 2 3 5 6 Frequency | 117 | 171 | 125 5922 6 0 a. What's the average number of customers arriving during a 30-minute interval? What's the average arrival rate in customers per hour? b Assuming that customers arrive on a Poisson distribution with an average arrival rate as determined in Problem 2, and that it takes Harry an average of 15 minutes to serve a customer, determine the following: 1) The average time a customer must wait before being served (in hours) 2) The average time a customer will spend in Harry's shop in hours) 3) The average number of customers waiting to be served. 4) The average number of customers in Harry's shop. 5) The probability there are no customers in Harry's shop

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