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The Time It Takes a Mechanic to Change the Oil

question 37

Essay

The time it takes a mechanic to change the oil in a car is exponentially distributed with a mean of 5 minutes.
a.What is the probability density function for the time it takes to change the oil?
b.What is the probability that it will take a mechanic less than 6 minutes to change the oil?
c.What is the probability that it will take a mechanic between 3 and 5 minutes to change the oil?
d.What is the variance of the time it takes to change the oil?


Definitions:

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A system used to organize and display numbers corresponding to footnotes in a document, indicating references or additional information.

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A command in computing used to remove files, texts, or data from a digital medium.

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A set of tools or controls within software that are used for modifying text, images, or other elements within a document or project.

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A feature in many document and presentation applications that displays the structure of a document in an easy-to-navigate, hierarchical manner.

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