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In a Factory, Machines Breakdown at an Average of 6

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In a factory, machines breakdown at an average of 6 machines per hour according to a Poisson distribution. The time a repair person takes to repair the machine is not defined by any probability distribution, but has a mean of 8 minutes and a standard deviation of 3 minutes.
-On average, how many machines are in the system either being repaired or waiting in line to be repaired?


Definitions:

Absolute Advantage

The capability of one entity to produce more of a good, product, or service with the same amount of resources than another.

Sweatshop Labor

Work done in very poor conditions for low pay, often in factories that make fast fashion, electronics, and other consumer goods.

Pauper Labor Fallacy

The incorrect belief that importing goods from countries with lower wage levels harms the economy of the importing country.

Opportunity Cost

Giving up the chance for gain from multiple possibilities by choosing a specific alternative.

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