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Marty’s Barber Shop has one barber. Customers arrive at the rate of 2.2 customers per hour, and haircuts are given at the average rate of 5 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions:

a) What is the probability that there are no customers in the system?

b) What is the probability that 1 customer is receiving a haircut and no one is waiting?

c) What is the probability that 1 customer is receiving a haircut and 1 customer is waiting?

d) What is the probability that 1 customer is receiving a haircut and 2 customers are waiting?

e) What is the probability that more than two customers are waiting?

f) What is the average time a customer waits for service?

Operation Management, Management Studies

  • Category:- Operation Management
  • Reference No.:- M92176942

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