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A Crew of Mechanics at the Department of Transportation Garage

question 103

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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.
-Approximately how many vehicles are in the garage, waiting for repairs or being repaired?


Definitions:

Bill Clinton

The 42nd President of the United States who served from 1993 to 2001.

Federal Building

A building owned or leased by the federal government of a country, often housing government offices.

Private Militia Group

An armed group that is not part of the official military or police force of a country and often operates with a degree of autonomy to pursue specific objectives.

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