Question 1 (50 points): The following data yield the arrival times and service times that each customer will require for the first 13 customers at a single server queue (M/M/l). Upon arrival, a customer either enters service ifthe server is free orjoins the waiting line. When the server completes work on a customer, the next one in line (i.e. the one that has been waiting the longest) enters the service. The studied period ends until the last customer leaves the system. Arrival times: 12 31 63 95 99 154 198 221 304 346 411 455 537 Service Times: 40 32 55 48 18 50 47 18 28 54 40 72 12 {3) Determine the departure times ofthese 13 customers. (b) Determine the expected waiting time of customers in the system. {c) Determine the expected number of customers in the queue and in the system. (d) Determine the expected system utilization