Refer to the Following Table Showing the Probability Distribution of Payoffs

Multiple Choice

Refer to the following table showing the probability distribution of payoffs from an activity.
$$\begin{array} { c c c } \text { Units } & \text { Payaff } & \text { Prabability } \\\hline 1 & \$ 30 & 10 \% \\2 & 40 & 25 \% \\3 & 60 & 30 \% \\4 & 50 & 20 \% \\5 & 10 & 15 \%\end{array}$$
-What is the variance of the distribution?

A) 136.4
B) 278.8
C) 18.6
D) 346.4
E) 162.3