Customers arrive at Paul Harrold's Styling Shop at a rate of 3 per hour, distributed in a Poisson fashion. Paul can 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.