Consider the following information:

$\backslash$table$[[,$Probability of$,$Rate of Return if State Occurs$],[$State$,,,],[$Economy$,$of Economy,Stock A$,$Stock B$],[$Recession$,\mathrm{.}22,\mathrm{.}020,-\mathrm{.}27],[$Normal$,\mathrm{.}57,\mathrm{.}100,\mathrm{.}17],[$Boom$,\mathrm{.}21,\mathrm{.}160,\mathrm{.}40]]$

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$.,$Expected return of A$,,\%$