Customers arrive at Rich Dunn's Salon at the rate of 3 per hour, distributed in a Poisson fashion. Rich can cut hair at s 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 their turn.
d. Find the average time a customer spends in the shop.
e. Find the percentage of time that Rich is busy.