Find the Expected Value and Variance for the Random Variable $f ( x ) = 2 ( x - 1 )$

question 88

Short Answer

Find the expected value and variance for the random variable whose probability density function is $f ( x ) = 2 ( x - 1 )$ 1 ≤ x ≤ 2.
Enter just two reduced fractions (unlabeled) in the order E(X), Var(X) separated by a comma.

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Definitions:

Motivation

The process that initiates, guides, and maintains goal-oriented behaviors. It is the driving force behind human actions.

Beta Rhythm Patterns

Brain wave patterns that represent a state of alertness, active thinking, and concentration.

Alpha Rhythm

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Gamma Waves

A pattern of brain waves in the human brain with a frequency between 25 and 100 Hz, associated with perception and consciousness.