Consider the following information:

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

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,$\%$