A Dry Cleaner Has a Single Drive-Thru Window for Customers

question 70

Essay

A dry cleaner has a single drive-thru window for customers.The arrival rate of cars follows a Poisson distribution, while the service time follows an exponential distribution.The average arrival rate is 16 per hour and the average service time is three minutes.
(a)What is the average number of cars in the line?
(b)What is the average time spent waiting to get to the service window?
(c)What percentage of time is the dry cleaner's drive-thru window idle?
(d)What is the probability there are more than 2 cars at the drive-thru window?

---

Definitions:

Veggie Pizza

A pizza variety topped with an assortment of vegetables, often including tomatoes, peppers, onions, and olives, among others.

Pepperoni Pizza

A popular pizza variety topped with slices of pepperoni, a spicy Italian-American variety of salami.

Choosing

The act or process of making a selection or decision from a range of possibilities.

Independent Events

Two or more events where the occurrence of one does not affect the probability of the occurrence of the other(s).