Consider the following information:

$\backslash$table$[[,,\backslash$table$[[$Rate of Return if State$],[$Occurs$]]],[$State of Economy,$\backslash$table$[[$Probability of State of$],[$Economy$]],$Stock A$,$Stock B$],[$Recession$,0\mathrm{.}10,0\mathrm{.}05,-0\mathrm{.}23],[$Normal$,0\mathrm{.}70,0\mathrm{.}08,0\mathrm{.}12],[$Boom$,0\mathrm{.}20,0\mathrm{.}15,0\mathrm{.}33]]$

Required:

$($a$)$ Calculate the expected return for Stock A$.($Do not round your intermediate calculations.$)$

$($b$)$ Calculate the expected return for Stock B$.($Do not round your intermediate calculations.$)$

$($Click to select$)$

$($c$)$ Calculate the standard deviation for Stock A$.($Do not round your intermediate calculations.$)$

$($d$)$ Calculate the standard deviation for Stock B$.($Do not round your intermediate calculations.$)$