A Hardware Store Will Cut Lumber Any Length Between 5 $f ( x ) = \frac { 1 } { 15 }$

question 81

Short Answer

A hardware store will cut lumber any length between 5 and 20 feet. Say X is the length of lumber requested by a customer. Then X is a uniform random variable with probability density function $f ( x ) = \frac { 1 } { 15 }$ Find E(X) and Var(X).
Enter just two reduced fractions (unlabeled) in the order E(X), Var(X) separated by a comma.

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Definitions:

Monthly Sales Volume

The total amount of a product or service sold by a company within the span of a month.

Fixed Cost

Costs that do not vary with the level of production or sales, such as rent, salaries, or insurance.

Monthly Sales Volume

The total quantity of products or services sold by a company in a month.

Fixed Manufacturing Cost

Costs that do not vary with the level of production or sales, such as rent for factory premises, salaries of permanent staff, and depreciation of factory equipment.