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

  1. Problem 15-9 (Algorithmic)

    Marty's Barber Shop has one barber. Customers have an arrival rate of 2.1 customers per hour, and haircuts are given with a service rate of 5 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions:

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

      P0 =
    2. 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 =
    3. 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 =
    4. 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 =
    5. 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) =
    6. 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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