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$,0\mathrm{.}58,0\mathrm{.}14,0\mathrm{.}22,0\mathrm{.}40],[$Bust$,0\mathrm{.}42,0\mathrm{.}14,0\mathrm{.}02,-0\mathrm{.}09]]$

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 $25\%$ each in A and B and $50\%$ in C$?($Do not round intermediate calculations. Round the final answer to $6$ decimal places.$)$

Variance