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Question 3 The following questions concern simple applications of queueing theory: a If an M/M/1 queue in a server has task arrivals at a rate of 30 per second and serves at a rate of 50 per second, how many tasks are in the system (waiting and being served) on average? b In part (a), how many tasks are being served, on average? c What is the utilization of an M/M/1 queue in a server that has four tasks waiting on average? Question 3 The following questions concern simple applications of queueing theory: a If an M/M/1 queue in a server has task arrivals at a rate of 30 per second and serves at a rate of 50 per second, how many tasks are in the system (waiting and being served) on average? b In part (a), how many tasks are being served, on average? c What is the utilization of an M/M/1 queue in a server that has four tasks waiting on average