X Has the Following Probability Distribution P(X) $$\begin{array} { l l l l l } \mathrm { X } & 1 & 2 & 3 & 4 \\\mathrm { P } ( \mathrm { X } ) & .1 & .5 & .2 & .2\end{array}$$

question 53

Essay

X has the following probability distribution P(X): $$\begin{array} { l l l l l } \mathrm { X } & 1 & 2 & 3 & 4 \\\mathrm { P } ( \mathrm { X } ) & .1 & .5 & .2 & .2\end{array}$$
-Compute the variance value of X.

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Definitions:

Mutually Exclusive

A statistical term describing events that cannot occur at the same time, implying no overlap in their outcomes.

Event A

A specified occurrence or result in a probabilistic framework that is subject to study or analysis.

Event B

A term used in probability theory to denote a specific outcome or set of outcomes from a stochastic experiment.

0 ≤ P ≤ 1

A mathematical expression indicating that the value of P (probability) ranges from 0 to 1, inclusive.