A Crew of Mechanics at the Department of Transportation Garage

question 12

Short Answer

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 average time that a snowplow is out of service?

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Definitions:

Specialization

The process of concentrating on and becoming expert in a particular subject or skill, often leading to increased efficiency.

Single-use Plans

Specific actions or strategies devised for a particular purpose or project, not intended for repeated or continuous use.

Budgets

Financial plans that outline expected income and expenditure over a specific time period, used by individuals, businesses, and governments to guide economic decision-making.

Qualitative Forecasting

The method of forecasting outcomes based on non-numerical information such as expert opinion, rather than quantitative data.