Determine Whether the Following Is a Probability Distribution

question 106

Essay

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.
- $$\begin{array} { r | r } \mathrm { x } & \mathrm { P } ( \mathrm { x } ) \\\hline 0 & 0.157 \\1 & 0.221 \\2 & - 0.060 \\3 & 0.084 \\4 & 0.166 \\5 & 0.432\end{array}$$

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Definitions:

(E)-2-Pentene

An alkene that has the two largest groups on each end of the double bond in opposite directions, which is the trans configuration.

(Z)-2-Pentene

An alkene where the two largest groups on each side of the double bond are on the same side, resulting in a cis configuration.

Carbon-Carbon Double Bond

A strong chemical bond consisting of two carbon atoms connected by double bonds, conferring rigidity and planarity to molecules like alkenes.

Geometry

The branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs.