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The Table Below Is the Probability Table for a Random

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The table below is the probability table for a random variable X. Find E(X).  Outcome 1012 Probability 37171727\begin{array} { l | l l l l } \text { Outcome } & - 1 & 0 & 1 & 2 \\\hline \text { Probability } & \frac { 3 } { 7 } & \frac { 1 } { 7 } & \frac { 1 } { 7 } & \frac { 2 } { 7 }\end{array} Enter just a reduced fraction of form ab\frac { a } { b } .


Definitions:

Facial Expressions

The movements or positions of the muscles beneath the skin of the face, which convey the emotional state of an individual to observers.

Anger

A strong feeling of annoyance, displeasure, or hostility; an emotional response to perceived provocation or threat.

Surprise

An emotional state or reaction caused by an unexpected event, which can vary in intensity from mild interest to shock.

Happiness

An emotional state ranging from simple satisfaction to deep happiness, defining a sense of completeness and pleasure.

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