Consider the following information:

$\backslash$table$[[$State of$,$Probability of$,$Rate,eturn if$,$Occurs$],[$Economy$,$State of Economy,Stock A$,$Stock B$,$Stock C$],[$Boom$,0\mathrm{.}56,0\mathrm{.}07,0\mathrm{.}15,0\mathrm{.}35],[$Bust$,0\mathrm{.}44,0\mathrm{.}12,0\mathrm{.}05,-0\mathrm{.}04]]$

a$.$ What is the expected return on an equally weighted portfolio of these three stocks? $($Do not round intermediate calculations. Round the final answer to $2$ decimal places.$)$

Expected return $\%$

b$.$ What is the variance of a portfolio invested $15\%$ each in A and B and $70\%$ in C$?($Do not round intermediate calculations. Round the final answer to $6$ decimal places.$)$

Variance