Consider the following information:

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

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

Answer is complete but not entirely correct.

$\backslash$table$[[$a$.$ Stock A expected return,$12\mathrm{.}77,\%$