D.1 Customers arrive at Rich Dunns Styling Shop at a rate of 3 per hour, distributed in

Question:

• D.1 Customers arrive at Rich Dunn’s Styling Shop at a rate of 3 per hour, distributed in a Poisson fashion. Rich’s service times follow a negative exponential distribution, and Rich can complete an average of 5 haircuts per hour.

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 Rich is busy.

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