Consider the following information:

$\backslash$table$[[,,$Rate of Return if State Occurs$],[$State of Economy,$\backslash$table$[[$Probability of State$],[$of Economy$]],$Stock A$,$Stock B$],[$Recession$,\mathrm{.}16,\mathrm{.}07,-\mathrm{.}11],[$Normal$,\mathrm{.}57,\mathrm{.}10,\mathrm{.}18],[$Boom$,\mathrm{.}27,\mathrm{.}15,\mathrm{.}35]]$

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,,$\%$