You may attempt this question $3$ more times for credit.

Financial analysts have estimated the returns on shares of the Woods Corporation and

the overall market portfolio under two economic states nature as follows. For Woods the

state dependent returns are $-0\mathrm{.}03$ in recession, and $0\mathrm{.}06$ in an economic boom. For the

market the state dependent returns are $-0\mathrm{.}04$ in recession, and $0\mathrm{.}12$ in boom. The

analyst estimates that the probability of a recession is $0\mathrm{.}50$ while the probability of an

economic boom is $0\mathrm{.}50.$

Compute the standard deviation of the market.

State your answer in decimal form, working your analysis using at least four decimal

places of accuracy.