Marty's Barber Shop has one barber. Customers have an arrival rate of 1.1 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:   What is the probability that no units are in the system? Round your answer to four decimal places. P0 = ______ What is the probability that one customer is receiving a haircut and no one is waiting? Round your answer to four decimal places. P1 = ______ What is the probability that one customer is receiving a haircut and one customer is waiting? Round your answer to four decimal places. P2 = ______

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Marty's Barber Shop has one barber. Customers have an arrival rate of 1.1 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:

 

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

    P3 = ______

  5. What is the probability that more than two customers are waiting? Round your answer to four decimal places.

    P(More than 2 waiting) = _______

  6. What is the average time a customer waits for service? Round your answer to four decimal places.

    Wq = ______ minutes
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