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 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? If required, round your answer to four decimal places.

P₀ =

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 =

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 =

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 =

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) =

What is the average time a customer waits for service? If required, round your answer to four decimal places.

W_q = hours