Problem $13-7$ Calculating Returns and Standard Deviations $[$LO$1]$

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$,\mathrm{.}17,\mathrm{.}08,-\mathrm{.}12],[$Normal$,\mathrm{.}58,\mathrm{.}11,\mathrm{.}17],[$Boom$,\mathrm{.}25,\mathrm{.}16,\mathrm{.}34]]$

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$.,32\mathrm{.}16.)$

Answer is complete but not entirely correct.

$\backslash$table$[[$a$.$ Stock A expected return,$11\mathrm{.}74,\%$