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$,$State of$,,],[$Economy$,$Economy,Stock A$,$Stock B$],[$Recession$,\mathrm{.}15,\mathrm{.}06,-\mathrm{.}10],[$Normal$,\mathrm{.}56,\mathrm{.}09,\mathrm{.}19],[$Boom$,\mathrm{.}29,\mathrm{.}14,\mathrm{.}36]]$

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,,$\%$