Question: 2. (5 points) Consider a single server queue. Initially, there is no customer in the system. Suppose that the inter-arrival time of the first 15

2. (5 points) Consider a single server queue.

2. (5 points) Consider a single server queue. Initially, there is no customer in the system. Suppose that the inter-arrival time of the first 15 customers are: 2,5, 7, 3, 1,4,9, 3, 10, 8, 3, 2, 16, 1,8 In other words, the first customer will arrive in 2 minutes, and the second will arrive in 2+ 5 minutes, and so on. Also, suppose that the service time of the first 15 customers are 1, 4, 2, 8,3,7,5, 2, 6, 11, 9, 2, 1, 7, 6 Answer the following questions (1 point each). (a) Compute the average waiting time (the time customer spend in buffer) of the first 10 departed customers. (b) Compute the average system time (waiting time plus service time) of the first 10 departed customers. (c) Compute the average queue size during the first 20 minutes. (d) Compute the average server utilization during the first 20 minutes. (e) Does the Little's law of hold for the average queue size in the first 20 minutes

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