Question: A local bank has two drive-thru teller windows with an essentially unlimited queue length. They estimate that the arrival rate during their most busy time

A local bank has two drive-thru teller windows with an essentially unlimited queue length. They estimate that the arrival rate during their most busy time will average about 40 cars per hour. They also estimate they can serve an average of 50 cars per hour. Management wants to make sure that the system is operating efficiently. (Assume arrivals follow the Poisson distribution and service times follow the exponential distribution.)

Q:1 What is the probability that there will be no cars in the system?

Q2: On average how many cars are in the system?

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