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Management Studies

Marty's Barber Shop has one barber. Customers have an arrival rate of 2.9 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:
(a) What is the probability that no units are in the system?
If required, round your answer to four decimal places.
P0 =
(b) 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 =
(c) 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 =
(d) 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 =
(e) 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) =
(f) What is the average time a customer waits for service?
If required, round your answer to four decimal places.
Wq =

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Operation Management, Management Studies

Category:- Operation Management
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