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

question 10

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.If the dry cleaner wants to accommodate (have enough room for)all of the waiting cars at least 96 percent of the time, how many car-lengths should they make the driveway leading to the window?

---

Definitions:

Advance Directive

A legal document in which a person specifies what actions should be taken for their health if they are no longer able to make decisions for themselves due to illness or incapacity.

Voluntary Euthanasia

A form of euthanasia where a competent individual makes a voluntary and conscious decision to end their life, often due to unbearable suffering from a terminal illness.

Permanent Loss

An irreversible state of deprivation or the inability to regain a certain function, status, or item.

Consciousness

The state of being aware of and able to think about one's own existence, sensations, thoughts, and environment.