Determine Whether the Following Is a Probability Distribution

question 96

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. $$\begin{array} { c | c } \mathrm { x } & \mathrm { P } ( \mathrm { x } ) \\\hline 0 & 0.27 \\1 & 0.29 \\2 & 0.23 \\3 & 0.10 \\4 & 0.08 \\5 & 0.02\end{array}$$

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Definitions:

Polarized Crowds

Groups of individuals divided in opinion, often leading to intense disagreement and lack of consensus on a subject.

Pew Research Center

A nonpartisan fact tank that provides information on social issues, public opinion, and demographic trends shaping the world.

Social Norms

Implicit rules or guidelines within a society or group that dictate acceptable behaviors, values, and beliefs.

Collective Behavior

How groups of individuals act together in a shared context, often leading to emergent social phenomena.