Marty's Barber Shop has one barber. Customers have an arrival rate of 2.3 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:

2. What is the probability that no units are in the system? If required, round your answer to four decimal places.
6. P₀ =
10. 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.
14. P₁ =
18. 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.
22. P₂ =
26. 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.
30. P₃ =
34. What is the probability that more than two customers are waiting? If required, round your answer to four decimal places.
38. P(More than 2 waiting) =
42. What is the average time a customer waits for service? If required, round your answer to four decimal places.
46. W_q = hours