Discuss the below:
Marty's Barber Shop has one barber. Customers have an arrival rate of 5 per hour. Use the Poisson arrivals and exponential service times model to response 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?
e). What is the probability that more more than two customers are waiting ?
f). What is the average time a customer waits for service?