Determine Whether the Following Is a Probability Distribution

question 142

Essay

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.
- $$\begin{array} { r | r } \mathrm { x } & \mathrm { P } ( \mathrm { x } ) \\\hline 0 & 0.287 \\1 & 0.225 \\2 & - 0.027 \\3 & 0.339 \\4 & 0.080 \\5 & 0.096\end{array}$$

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Definitions:

Biconditional

A logical statement combining two conditions where each implies the other; written as "if and only if."

Tautology

A redundant or repetitive statement in which the same thing is said twice in different words.

Main Component

A primary or essential part of a larger whole or system.

Biconditional

A logical relation between statements where both are either simultaneously true or simultaneously false.