$1$

You have been given the following information:

$\backslash$table$[[\backslash$table$[[$State of$],[$Economy$]],\backslash$table$[[$Probability of$],[$State of$],[$Economy$]],$Rate of Return if State Occurs$],[$Stock A$,$Stock B$],[$Recession$,\mathrm{.}15,\mathrm{.}06,-\mathrm{.}10],[$Normal$,56,\mathrm{.}09,\mathrm{.}19],[$Boom$,\mathrm{.}29,\mathrm{.}14,\mathrm{.}36]]$

a$.$ Calculate the expected return for the two stocks. $($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. $($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,$7\mathrm{.}50,\%$