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The Time It Takes a Technician to Fix a Computer

question 52

Essay

The time it takes a technician to fix a computer problem is exponentially distributed, with a mean of 15 minutes.
a. What is the probability density function for the time it takes a technician to fix a computer problem?
b. What is the probability that it will take a technician less than 10 minutes to fix a computer problem?
c. What is the variance of the time it takes a technician to fix a computer problem?
d. What is the probability that it will take a technician between 10 to 15 minutes to fix a computer problem?


Definitions:

Eustress

Positive stress that is beneficial and motivating, as opposed to distress, which is harmful and drains energy.

Adrenaline

A hormone released into the bloodstream in response to physical or mental stress, known for its role in the 'fight or flight' response.

Epinephrine

A hormone and neurotransmitter also known as adrenaline, released in response to stress, increasing heart rate and blood flow.

Cortisol

A steroid hormone produced by the adrenal glands, involved in stress response and metabolism regulation.

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