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Marty's Barber Shop has one barber. Customers have an arrival rate of 1.5 customers per hour, and haircuts are given with a service rate of

Marty's Barber Shop has one barber. Customers have an arrival rate of 1.5 customers per hour, and haircuts are given with a service rate of 3 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 = fill in the blank 1
  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 = fill in the blank 2
  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 = fill in the blank 3
  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 = fill in the blank 4
  5. What is the probability that more than two customers are waiting? Round your answer to four decimal places. P(More than 2 waiting) = fill in the blank 5
  6. What is the average time a customer waits for service? Round your answer to four decimal places. Wq = fill in the blank 6 minutes

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