$3\mathrm{.}9.$ Calculating expected return. Based on the following information, calculate the expected return, variance, and standard deviation

$\backslash$table$[[$State of economy,$\backslash$table$[[$Probability of state$],[$of economy$]],\backslash$table$[[$Portfolio return if$],[$state occurs$]]],[$Recession$,\mathrm{.}10,-0\mathrm{.}15],[$Normal$,\mathrm{.}60,0\mathrm{.}09],[$Boom$,\mathrm{.}30,0\mathrm{.}23]]$