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A Crew of Mechanics at the Department of Transportation Garage

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A crew of mechanics at the Department of Transportation garage make minor repairs to snowplows during the winter. The snowplows break down at an average rate of 4 vehicles per day and breakdowns are distributed according to the Poisson distribution. The mechanic can service an average of 7 vehicles per day with a repair time distribution that approximates a negative exponential distribution. Assume an 8 hour day.
-What is the utilization rate for the mechanic?


Definitions:

Rationalization

is the cognitive process of making seemingly acceptable explanations for behaviors that are actually irrational, often to justify personal decisions and actions.

Projection

A psychological defense mechanism where individuals attribute their own unwanted feelings, impulses, or thoughts to others.

Displacement

In psychology, a defense mechanism involving the transfer of an emotional response from the original stimulus to a substitute target.

Compensation

Involves all forms of financial returns and tangible services and benefits employees receive as part of an employment relationship.

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