In a Factory, Machines Breakdown at an Average of 6

question 123

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.
-On average, how many machines are in the system either being repaired or waiting in line to be repaired?

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Definitions:

Secondary Drive

A learned or acquired drive that has an indirect association with physiological needs, such as the desire for money.

Optimal Level

The most favorable point, degree, or amount of something for a specific purpose, which maximizes efficiency or outcomes.

Task Performance

describes the execution and completion of a specific job or task, often measured in terms of efficiency and effectiveness.

Homeostasis

The tendency of a biological system to maintain internal stability and equilibrium despite changes in the external environment.