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Problem 15-9 (Algorithmic) Marty's Barber Shop has one barber. Customers have an arrival rate of 2.1 customers per hour,...

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Basic Math

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:

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

    P0 = ?????
  2. What is the probability that one customer is receiving ahaircut and no one is waiting? If required, round your answer tofour decimal places.

    P1 = ??????
  3. What is the probability that one customer is receiving ahaircut and one customer is waiting? If required, round your answerto four decimal places.

    P2 = ??????
  4. What is the probability that one customer is receiving ahaircut and two customers are waiting? If required, round youranswer to four decimal places.

    P3 = ??????
  5. What is the probability that more than two customers arewaiting? If required, round your answer to four decimalplaces.

    P(More than 2 waiting) = ??????
  6. What is the average time a customer waits for service? Ifrequired, round your answer to four decimal places.

    Wq = ?????? hours

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