A Crew of Mechanics at the Highway Department Garage Repair

question 45

Essay

A crew of mechanics at the Highway Department garage repair vehicles that break down at an average of λ = 8 vehicles per day (approximately Poisson in nature).The mechanic crew can service an average of μ = 10 vehicles per day with a repair time distribution that approximates an exponential distribution.
a.What is the probability that the system is empty?
b.What is the probability that there is precisely one vehicle in the system?
c.What is the probability that there is more than one vehicle in the system?
d.What is the probability of 5 or more vehicles in the system?

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Definitions:

Moral Conduct

behavior that is considered to be in alignment with principles of right and wrong.

Written Communication

Information or messages exchanged between individuals or groups through written forms such as letters, emails, or reports.

Active Listening

The process of fully concentrating, understanding, responding, and remembering what is being said during communication.

Verbal Communication

The use of spoken words to convey a message or information.