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...

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