Consider the following Information:

$\backslash$table$[[,$Probability of$,$Rate of Return if State Occurs,$],[$Economy$,$State of Economy,Stock A$,$Stock B$],[$Recession$,\mathrm{.}22,\mathrm{.}045,-\mathrm{.}42],[$Normal$,\mathrm{.}62,\mathrm{.}125,\mathrm{.}32],[$Boom$,\mathrm{.}16,\mathrm{.}310,\mathrm{.}55]]$

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

Note: Do not round Intermedlate calculatlons and enter your onswers 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 Intermedlate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

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