Consider 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$,$Stock C$],[$Boom$,0\mathrm{.}68,0\mathrm{.}13,0\mathrm{.}22,0\mathrm{.}40],[$Bust$,0\mathrm{.}32,0\mathrm{.}12,0\mathrm{.}05,-0\mathrm{.}07]]$

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 $20\%$ each in A and $B$ and $60\%$ in $C?($Do not round intermediate calculations. Round the final answer to $6$ decimal places.$)$

Variance $$