Marty’s Barber Shop has one barber

 Marty’s Barber Shop has one barber. Customers have an arrival rate of 2.2 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:

a.               What is the probability that no units are in the system?

b.              What is the probability that one customer is receiving a haircut and no one is waiting?

c.                What is the probability that one customer is receiving a haircut and one customer is waiting?

d.              What is the probability that one customer is receiving a haircut and two customers are waiting?

e.                What is the probability that more than two customers are waiting?

f.                 What is the average time a customer waits for service?