Consider a fast-food restaurant where customers arrive at a Poisson rate of 100 per hour. Four equally

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Question:

Consider a fast-food restaurant where customers arrive at a Poisson rate of 100 per hour. Four equally capable servers work at the restaurant during a typical hour of operation. Each employee takes, on average, 2 minutes to serve a customer, and service times are exponentially distributed. Customers who arrive and find all 4 servers busy join a single queue and are then served in a first-come-first-served fashion.

What is the expected number of busy servers, and the expected fraction of time each server is busy What percentage of customers do not wait in the queue?