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?

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Definitions:

Material Requirements Planning

A production planning, scheduling, and inventory control system used to manage manufacturing processes efficiently.

Master Production Schedule

A detailed plan that outlines what a manufacturing facility will produce, in what quantities, and when, to meet anticipated demand.

Bill of Material

A comprehensive list of raw materials, components, and instructions required to construct, manufacture, or repair a product or service.

Inventory Records

Documentation that tracks the quantity, value, and location of products or materials held by a company.