Posted by
**jkjk** on
.

Customers arrive at Paul Harrold¡¯s styling shop at a rate of 3 per hour, distributed in a Poisson fashion. Paul a perform haircuts at a rate of 5 per hour, distributed exponentially.

a) Find the average number of customers waiting for haircuts.

b) Find the average number of customers in the shop

c) Find the average time a customer waits until it is his or her turn.

d) Find the average time a customer spends in the shop

e) Find the percentage of time that Paul is busy.