Find the Expected Value and Variance for the Random Variable $f ( x ) = e ^ { x }$

question 45

Short Answer

Find the expected value and variance for the random variable whose probability density function is $f ( x ) = e ^ { x }$ $x \leq 0$ (You may use the fact that $\lim _ { b \rightarrow \infty }$ $b e^{b}$ = 0 .)Enter just two integers (unlabeled) in the order E(X), Var(X) separated by a comma.

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Definitions:

Minority Domination

A situation in decision-making processes where a smaller group or individual exerts disproportionate influence over the majority.

Greater Amounts of Information

Refers to an increased volume of data and details available for analysis or decision-making, which can enhance understanding but also require effective management.

Action Alternatives

Different courses of action or strategies that can be taken in response to problems or opportunities.

Understanding and Acceptance

The recognition and endorsement of different perspectives, conditions, or changes.