Explain Why the Following Is or Is Not a Valid $x$

question 262

Essay

Explain why the following is or is not a valid probability distribution for the discrete random variable $x$

$$\begin{array} { | c | c | c | c | c | c | } \hline x & 1 & 3 & 5 & 7 & 9 \\\hline p ( x ) & .1 & .1 & .2 & .1 & .2 \\\hline\end{array}$$

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Definitions:

X-axis

The horizontal axis in a coordinate plane, typically used as a reference line for measuring distances along the horizontal direction.

Coordinate System

A system for specifying the precise location of points in a plane or space using numbers, typically represented by axes.

Points

Specific locations in space defined by coordinates within a given context, such as on a graph.

Line Segments

A part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.