Determine Whether the Following Is a Probability Distribution

question 4

Essay

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.
$\begin{array} { | c | c | } \hline x & P ( x ) \\\hline 0 & 0.109 \\\hline 1 & 0.208 \\\hline 2 & 0.246 \\\hline 3 & 0.159 \\\hline 4 & 0.096 \\\hline 5 & 0.228 \\\hline\end{array}$

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Definitions:

Randomly Selected

The process of choosing a sample in such a way that each member of the population has an equal chance of being included.

Psychosomatic Problems

Health issues that arise from or are significantly influenced by the mind and emotions rather than purely physiological causes.

Expected Value

The weighted average of all possible values of a random variable, representing its mean or center.

Variance

A statistical measurement that describes the spread of numbers in a data set, calculated as the average of squared deviations from the mean.