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,Probability of State,,$],[$Recession$,\mathrm{.}20,$Stock $A,$Stock B$],[$Normal$,\mathrm{.}55,\mathrm{.}05,-\mathrm{.}18],[$Boom$,\mathrm{.}25,\mathrm{.}08,\mathrm{.}11],[,,\mathrm{.}13,\mathrm{.}28]]$

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,,$\%$