Question

What concept does the mean of a discrete random variable generalize?

Short answer

A weighted average of all possible values of a discrete random variable is the mean of the random variable.

Step-by-step solution

Step 1. Given infromation

To describe the idea of a discrete random variable's mean.

Step 2. Solution

The mean of a discrete random variable is a weighted average of the possible values of the random variable. For example, consider a random variable whose possible values are 0, 1 and 2. The probability distribution of is as follows:

Random Variable ( X)	Probability Distribution
0	0.1
1	0.7
2	0.2

Here, the mean of the random variable is:

$$\begin{gathered} X=(0\times 0.1)+(1+0.7)+(2\times 0.2) \\ X=0+0.7+0.4 \\ X=1.1 \end{gathered}$$