Problem $11-5$ Calculating Returns and Standard Deviations

You have been given the following information:

$\backslash$table$[[,$Probability of$,$Rate of Return if State Occurs$],[$State of$,\backslash$table$[[$State of$]],,],[$Economy$,$Cconomy,Stock A$,$Stock B$],[$Recession$,\mathrm{.}22,\mathrm{.}07,-\mathrm{.}22],[$Normal$,\mathrm{.}52,\mathrm{.}10,\mathrm{.}07],[$Boom$,\mathrm{.}26,\mathrm{.}15,\mathrm{.}24]]$

a$.$ Calculate the expected return for the two stocks. $($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ Calculate the standard deviation for the two stocks. $($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

$\backslash$table$[[$a$.$ Stock A expected return,,$\%$