Consider the following information:

$\backslash$table$[[\backslash$table$[[$State of$],[$Economy$]],\backslash$table$[[$Probability of$],[$State of$],[$Economy$]],$Rate of Return If State Occurs$],[$Stock A$,$Stock B$],[\backslash$table$[[$Recession$],[$Normal$],[$Boom$]],\backslash$table$[[\mathrm{.}17],[\mathrm{.}62],[\mathrm{.}21]],\backslash$table$[[\mathrm{.}05],[\mathrm{.}09],[\mathrm{.}16]],\backslash$table$[[-\mathrm{.}21],[\mathrm{.}08],[\mathrm{.}25]]]]$

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 retur,,$\%$