Consider the following information:

$\backslash$table$[[,$Probability of$,$Rate of Return if State Occurs,$],[$Economy$,$State of Economy,Stock A$,$Stock B$],[$Recession$,\mathrm{.}20,\mathrm{.}035,-\mathrm{.}40],[$Normal$,\mathrm{.}60,\mathrm{.}115,\mathrm{.}30],[$Boom$,\mathrm{.}20,\mathrm{.}290,\mathrm{.}53]]$

a$.$ Calculate the expected return for the two stocks.

Note: 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 the two stocks.

Note: 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$.$ Expected return of A$,0\mathrm{.}13,\%$