Marty’s Barber Shop has one barber. Customers arrive at a rate of 2.2 per hour, and haircuts are given at an average rate of five customers per hour. Use the Single Server Queue Excel template to answer the following questions:

a. What is the probability that the barber is idle?

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 three customers are waiting?

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