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.

Understand the significance of display rules in cultural and emotional studies.

Comprehend the concept of social power in emotional expression, specifically in gender dynamics.

Understand the role of decoding ability in emotional intelligence and interpersonal communication.

Understand the concept and examples of the overjustification effect and how external rewards can diminish intrinsic motivation.

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Definitions:

Behaviours

Observable activities conducted by individuals or groups in response to external or internal stimuli.

Attitudes

A settled way of thinking or feeling about something, typically reflected in a person's behavior.

Naturalistic Observation

A research method in which subjects are observed in their natural environment without any manipulation by the observer.

Case Studies

Research method involving a detailed and intensive analysis of an individual case or cases, often used in clinical, social, or business research.