Consider the following information:

$\backslash$table$[[,,\backslash$table$[[$Rate of Return if State$],[$Occurs$]]],[$State of$,$Probability of State,,$],[$Economy$,$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 the two stocks.

Note: 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.

Note: 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,$],[$Stock B expected return,$\%$