Question

Marty's Barber Shop has one barber. Customers have an arrival rate of 2.3 customers per hour,...

Marty's Barber Shop has one barber. Customers have an arrival rate of 2.3 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions:

What is the probability that no units are in the system? If required, round your answer to four decimal places.

P0 = _____

What is the probability that one customer is receiving a haircut and no one is waiting? If required, round your answer to four decimal places.

P1 = ______

What is the probability that one customer is receiving a haircut and one customer is waiting? If required, round your answer to four decimal places.

P2 =______

What is the probability that one customer is receiving a haircut and two customers are waiting? If required, round your answer to four decimal places.

P3 = _____-

What is the probability that more than two customers are waiting? If required, round your answer to four decimal places.

P(More than 2 waiting) = _______

What is the average time a customer waits for service? If required, round your answer to four decimal places.

Wq = ______ hours

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