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What Is the Variance of the Returns on a Security

question 13

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What is the variance of the returns on a security given the following information?
 State of the Economy  Probability of  Rate of Return if  State of Economy  state occurs  Boom .0527% Normal .3015% Recession .6522%\begin{array}{lcc}\text { State of the Economy } & \text { Probability of } & \text { Rate of Return if } \\& \text { State of Economy } & \text { state occurs }\\\text { Boom } & .05 & 27 \% \\\text { Normal } & .30 & 15 \% \\\text { Recession } & .65 & -22 \%\end{array}

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