Consider the following information:

$\backslash$table$[[,,$Rate of Return if State Occurs$],[$State of Economy,Probability of State,,$],[$of Economy,Stock A$,$Stock B$,],[$Recession$,\mathrm{.}15,\mathrm{.}04,-\mathrm{.}17],[$Normal$,\mathrm{.}55,\mathrm{.}09,\mathrm{.}12],[$Boom$,\mathrm{.}30,\mathrm{.}17,\mathrm{.}27]]$

a$.$ Calculate the expected return for Stocks A and B$.($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 Stocks A and B$.($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,$\%$