Problem 15-9(Algorithmic)
Marty's Barber Shophas one barber. Customers have an arrival rate of 2.1 customers perhour, and haircuts are given with a service rate of 4 per hour. Usethe Poisson arrivals and exponential service times model to answerthe following questions:
- What is the probability that no units are in the system? Ifrequired, round your answer to four decimal places.
P0 = ?????
- What is the probability that one customer is receiving ahaircut and no one is waiting? If required, round your answer tofour decimal places.
P1 = ??????
- What is the probability that one customer is receiving ahaircut and one customer is waiting? If required, round your answerto four decimal places.
P2 = ??????
- What is the probability that one customer is receiving ahaircut and two customers are waiting? If required, round youranswer to four decimal places.
P3 = ??????
- What is the probability that more than two customers arewaiting? If required, round your answer to four decimalplaces.
P(More than 2 waiting) = ??????
- What is the average time a customer waits for service? Ifrequired, round your answer to four decimal places.
Wq = ?????? hours
