Consider the following information:

$\backslash$table$[[,$Probability of$,$Rate of Return if$,$State Occurs$],[$Economy$,$State of Economy,Stock A$,$Stock B$],[$Recession$,\mathrm{.}22,\mathrm{.}045,-\mathrm{.}32],[$Normal$,\mathrm{.}62,\mathrm{.}125,\mathrm{.}22],[$Boom$,\mathrm{.}16,\mathrm{.}210,\mathrm{.}45]]$

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$.,32\mathrm{.}1$

b$.$ Calculate the standard deviation for the two stocks.

Note: Do not round intermediate calculations and enter your answers a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}1$

$\backslash$table$[[$a$.$ Expected return of $A,|\%],[$Expected return of $B,\%$