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.