Mean or Expected Value and Standard Deviation · Try It 4

Suppose you play a game with a spinner. You play each game by spinning the spinner once. P(red) = $\frac{2}{5}$, P(blue) = $\frac{2}{5}$, and P(green) = $\frac{1}{5}$. If you land on red, you pay $10. If you land on blue, you don't pay or win anything. If you land on green, you win $10. Complete the following expected value table.

$$\begin{array}{cccc}& \text{x}& \text{P(x)}& \\ \text{Red}& & & –\frac{20}{5}\\ \text{Blue}& & \frac{2}{5}& \\ \text{Green}& \text{10}& & \end{array}$$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §4.2 Mean or Expected Value and Standard Deviation · Try It 4