Customers arrive at Rich? Dunn's Styling Shop at a rate of 2 per? hour, distributed in a Poisson fashion. Service times follow a negative exponential? distribution, and Rich can perform an average of 5 haircuts per hour.
a) The average number of customers waiting for haircuts =? Please write answer completely out without any rounding so I can follow complete steps.
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 Rich is busy.
Please show complete work without any rounding.