1. In this problem, assume Poisson arrivals and exponential service times. Customers of Plaka Record rental outlet arrive at the store to rent CDs with an arrival rate of 1.25 customers per minute. The store has only 1 counter with a service rate of 2 customers per minute.

REQUIRED:

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

(In fraction form, example: 2/5)

b. What is the average number of customers waiting for service?

(In fraction form, example: 2/5)

c. What is the probability that an arriving customer will have to wait for service?

(In fraction form, example: 2/5)

d. What is the probability that there are 5 customers in the system?

(In 4 decimal places)