Consider the following information:

State of Economy Probability of State of Economy Rate of Return if State Occurs

$\backslash$table$[[,,$Rate of Return if State Occurs$],[$State of Economy,$\backslash$table$[[$Probability of State$],[$of Economy$]],$Stock A$,$Stock B$],[$Recession$,\mathrm{.}20,\mathrm{.}08,-\mathrm{.}15],[$Normal$,\mathrm{.}50,\mathrm{.}11,\mathrm{.}14],[$Boom$,\mathrm{.}30,\mathrm{.}16,\mathrm{.}31]]$

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$.$