A Local Hamburger Chain Is Considering Adding a Drive-Through Window

question 9

Essay

A local hamburger chain is considering adding a drive-through window. They estimate that during the dinner hour, customer arrival rate will average 18 per hour and follow a Poisson distribution. Service times during this same period are estimated to follow an exponential distribution with a mean of 24 customers per hour.
a. Determine the probability that the service facility (drive-through window) is idle.
b. Determine the probability of four vehicles in the system.
c. Determine the average number of vehicles waiting for service.
d. Determine the average number of vehicles in the system.
e. Determine the average time a vehicle spends waiting for service.
f. Determine the average time a vehicle spends in the system.
g. Determine the probability that an arriving vehicle has to wait for service.

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Definitions:

Legally Adopted

Refers to the formal process by which an adult becomes the legal parent of someone who is not their biological child.

Probated

The legal process of proving and registering the last will of a deceased person in court.

Statutory Requirements

Specific obligations or regulations established by law that must be followed.

Handwritten Will

A testamentary document entirely written, dated, and signed by the hand of the testator, without necessary formal witnesses, also known as a holographic will.