Question: Problem 5. (20 pts) Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take on average

Problem 5. (20 pts) Students arrive at the

Problem 5. (20 pts) Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take on average 10 minutes to be processed. The service counter is staffed by only one clerk, Judy, who works eight hours per day. Assume Poisson arrivals and exponential service times. a. What percentage of time is Judy idle? b. How much time, on average does a student spend waiting in line? C. How long is the (waiting) line on average? d. What is the probability that there are at least 3 students in the system

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