Find the Expected Value and Variance for the Random Variable $f ( x ) = \frac { 1 } { 3 } ,$

question 53

Short Answer

Find the expected value and variance for the random variable whose probability density function is $f ( x ) = \frac { 1 } { 3 } ,$ $2 \leq x \leq 5 .$ Enter just two reduced fractions of form $\frac { a } { b }$ (unlabeled) in the order E(X), Var(X) separated by a comma.

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Definitions:

Upper Control Limit

The Upper Control Limit is the highest value on a control chart that a process variable is expected to go, indicating a point beyond which the process is considered out of control.

Lower Control Limit

The threshold below which the process output is considered to be statistically out of control in a control chart.

Packaging Process

A series of operations involved in designing and producing containers or wrappings for transporting, storing, and selling products.

Probability

The likelihood of an event happening, measured on a scale from 0 to 1.