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:

Shared Beliefs

Common ideas, values, or perceptions held by a group of people, which help in forming the basis of a collective identity or culture.

Genital Stage

The final stage in Freud's psychosexual development theory, beginning in puberty, where sexual maturity is reached and sexual interests become concentrated on the genitals.

Comprehensive Explanation

An all-inclusive description or clarification that covers or includes all aspects of a topic or subject.

Cultural Values

The core principles and ideals upon which an entire community exists and makes decisions, influencing behaviors, social norms, and laws.