Customers arrive at a service station at a rate of 30 per hour. Arrivals are random and service time is exponential. It takes a service clerk 90 seconds to serve a customer.

REQUIRED:

Find the following:

a)The probability of that the clerk is idle (P₀) given that

b)The average time a customer is in the queue waiting to be served given that

c)The average time a customer is in the SYSTEMgiven that

d)The average number of customers in the system given that

e)The average number of customers in the system given that