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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 long will a machine have to wait before it is fixed?


Definitions:

Adrenocorticotropic Hormone

A hormone produced by the pituitary gland that stimulates the adrenal glands to release cortisol, involved in stress response and regulation of some metabolic processes.

Glucocorticoid

A class of steroid hormones that play a significant role in the regulation of metabolism, immune response, and stress within the body.

Cortisol

A steroid hormone produced by the adrenal glands, often referred to as the "stress hormone," involved in the body's stress response.

Essential Hypertension

High blood pressure with no identifiable cause, also known as primary hypertension.

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