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

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. W_q = hours

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