A Crew of Mechanics at the Highway Department Garage Repair

question 69

Essay

A crew of mechanics at the Highway Department Garage repair vehicles that break down at an average of λ = 5 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:

Expansion Opportunities

Opportunities for a business to grow, either through entering new markets, increasing product lines, or acquiring other businesses.

Sole Proprietor

An individual who owns and operates a business alone, bearing sole responsibility for its operations and liabilities.

Dissolve

To disperse or disappear into a solution, or in a corporate context, to legally terminate a company.

Domestic Corporation

A corporation that is registered and operates within its country of incorporation.