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Consider the following information:

$\backslash$table$[[,,$Rate of Return if State$],[$State of Eccurs,,,$],[$Recession$,$Probability of State,Stock $A,$Stock B$],[$Normal$,\mathrm{.}21,\mathrm{.}09,-\mathrm{.}16],[$Boom$,\mathrm{.}51,\mathrm{.}12,\mathrm{.}13],[,\mathrm{.}28,\mathrm{.}17,\mathrm{.}30]]$

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,$12\mathrm{.}77,\%$