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

Consider the following information:

$\backslash$table$[[$State of Economy,$\backslash$table$[[$Probability of State$],[$of Economy$]],$Rate of Return if State Occur$],[$Stock A$,$Stock B$],[$Recession$,\mathrm{.}18,\mathrm{.}09,-13],[$Normal$,\mathrm{.}59,\mathrm{.}12,\mathrm{.}16],[$Boom$,\mathrm{.}23,\mathrm{.}17,\mathrm{.}33]]$

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,$12\mathrm{.}61,\%$