Determine Whether the Following Is a Probability Distribution

question 143

Essay

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.
-If a person is randomly selected from a certain town, the probability distribution for the number, x, of siblings is as described in the accompanying table.
$$\begin{array} { c | c } \mathrm { x } & \mathrm { P } ( \mathrm { x } ) \\\hline 0 & 0.27 \\1 & 0.28 \\2 & 0.23 \\3 & 0.10 \\4 & 0.06 \\5 & 0.02\end{array}$$

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Definitions:

Gradual Acquisition

The slow and steady process of learning or obtaining knowledge or skills over time.

Memory Capacity

The amount of information that can be held in memory, encompassing short-term, long-term, and working memory capacities.

Attentional Focus

Refers to the process of directing one's awareness to relevant stimuli while ignoring irrelevant information in the environment.

Quantitatively Different

Describes a distinction based on measurable differences in size, amount, number, or degree rather than differences in kind.