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In a Factory, Machines Breakdown at an Average of 6

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Short Answer

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.
-What is the probability that no machine is being fixed?


Definitions:

Satisfaction

A state of contentment or fulfillment that comes from meeting one’s needs, desires, or expectations.

Facet Satisfaction

The degree of contentment an employee feels towards individual aspects of their job, such as their duties, work environment, or compensation.

Discrepancy

A difference or inconsistency between two or more facts, figures, or points of view.

Inequity

The perception or reality of unfair treatment or disparity in resources, rewards, or opportunities among individuals or groups, leading to dissatisfaction and demotivation.

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