At a certain petrol pump $,$ Customer arrive according to a

Poisson process with a average time at $5$ min between the

arrivals. The service time is exponential distribution with

mean $2$ mins on the basic of this information.

Determine:

a$)$ What would be the average que length?

b$)$ What is the expected number of customer at petrol pump?

c$)$ What is the expected number time one spend at petrol

pump?

d$)$ What would we expected waiting time?

e$)$ What would be the proportion time the petrol pump is

idle?

f$)$ Traffic intensity