4 Consider an M/G/1/GD// queuing system in which an average of 10 arrivals occur each hour. Suppose...

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4 Consider an M/G/1/GD/∞/∞ queuing system in which an average of 10 arrivals occur each hour. Suppose that each customer’s service time follows an Erlang distribution, with rate parameter 1 customer per minute and shape parameter 4.

a Find the expected number of customers waiting in line.

b Find the expected time that a customer will spend in the system.
c What fraction of the time will the server be idle?

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