Question: 5. (16 marks) The local symphony is preparing for its opening performance of the season, with ticket sales beginning this week. The symphony has a

5. (16 marks) The local symphony is preparing for
5. (16 marks) The local symphony is preparing for its opening performance of the season, with ticket sales beginning this week. The symphony has a ticket office with one clerk working the counter. From previous seasons, 5 customers per hour arrive to the ticket counter (customer arrivals can be described as a Poisson distribution). On average, it takes 8 minutes to serve each customer (the service rate can be described as an exponential distribution). Find the following measures of performance of the ticket counter: a) What is the average utilization of the ticket counter employee? b) On average, how many customers are waiting in line? c) What is the average time (in minutes) a customer spends waiting for service at the ticket counter? d) How many customers are likely to be in the system at any one time

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