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 to answer the question below: $$\begin{array} { c c c } \text { Units } & \text { Payoff } & \text { Prabability } \\\hline 1 & \$ 30 & 10 \% \\\mathbf { 2 } & 40 & 25 \% \\3 & 60 & 30 \% \\4 & 50 & 20 \% \\5 & 10 & 15 \% \\\hline\end{array}$$ What is the variance of the distribution?

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