Question: Consider an M [X] / M / 1 system. Customers arrive in batches of size 1, 2, or 3 with equal probability, such that 5

Consider an M [X] / M / 1 system. Customers arrive in batches of size 1, 2, or 3 with equal probability, such that 5 batches arrive per hour on average. The mean service time is 4 min.

(a) What is the average system size?

(b) What is the average queue length?

(d) What is the average waiting time in the queue?

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