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A Crew of Mechanics at the Department of Transportation Garage

question 40

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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.
-Determine the average time that a snowplow is out of service.


Definitions:

Cortex

The outer layer of the brain, involved in numerous high-level functions including thought, memory, perception, and language.

Rods

Cells in the eye's retina known as photoreceptors that enable vision under dim lighting conditions.

Visible Spectrum

The portion of the electromagnetic spectrum that is visible to the human eye, comprising wavelengths from approximately 380 to 750 nanometers.

Electromagnetic Wavelengths

The distance over which the wave's shape repeats, a fundamental characteristic of electromagnetic waves, including light, radio waves, and X-rays.

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