The Post Office Uses a Multiple Channel Queue, Where Customers

question 9

Essay

The post office uses a multiple channel queue, where customers wait in a single line for the first available window. If the average service time is 1 minute and the arrival rate is 7 customers every five minutes, find, when two service windows are open,
a.the probability both windows are idle.
b.the probability a customer will have to wait.
c.the average time a customer is in line.
d.the average time a customer is in the post office.

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Definitions:

Bailor

An individual who temporarily entrusts possession of personal property to another, known as the bailee, under a bailment agreement.

Transfers Possession

The act of passing the physical control or ownership of an item, property, or asset from one party to another.

Personality

The combination of characteristics or qualities that form an individual's distinctive character and psychological identity.

Gratuitous Bailment

A bailment where the bailor lends an item to the bailee without expecting payment, the bailee is thus under a duty to return the item.