Customers arrive at Rich Dunn's Styling Shop at a rate of 3 per hour, distributed in a Poisson fashion. Service times follow an exponential distribution, and Rich can perform an average of 8 haircuts per hour.
a) Find the average number of customers waiting for haircuts.____ customers ( round your response to two decimal places)
b) Find the average number of customers in the shop. ____ customers ( round your response to two decimal places)?
c) Find the average time a customer waits until it is his or her turn. ____ customers ( round your response to two decimal places)?
d) Find the average time a customer spends in the shop. ____ customers ( round your response to two decimal places)?
e) Find the percentage of time that Rich is busy ____ customers ( round your response to two decimal places)