The Firm Has Estimated the Three Different Returns Under Different

Multiple Choice

The firm has estimated the three different returns under different states of economy. The probabilities of economy reaching a particular state and the returns are provided in the table below. What is the variance of the firm's returns?
$$\begin{array} { | l | l | l | l | } \hline \text { State of Economy } & \text { Recession } & \text { Normal } & \text { Boom } \\\hline \text { Probability } & 0.4 & 0.5 & 0.1 \\\hline \text { Return } & - 100 & 200 & 500 \\\hline\end{array}$$

A) 161.55
B) 192.09
C) 26100
D) 36900