Question: 1. Consider an M/M/3 queue having 1 = 3 arrivals per minute and u = 4 customers per minute. Compute the following steady-state quantities. (a)

1. Consider an M/M/3 queue having 1 = 3 arrivals

1. Consider an M/M/3 queue having 1 = 3 arrivals per minute and u = 4 customers per minute. Compute the following steady-state quantities. (a) the probability that the system is empty (b) the probability that an arriving customer finds two customers in the system. (c) the probability that a departing customer leaves six customers in the system. (d) the average number of customers in the queue. (e) the average amount of time a customer spends in the system. (f) the average number of customers in the system. (g) the average number of idle servers

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