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$,\mathrm{.}75,\mathrm{.}07,\mathrm{.}18,\mathrm{.}27],[$Bust$,\mathrm{.}25,\mathrm{.}12,-\mathrm{.}08,-\mathrm{.}21]]$

a$.$ What is the expected return on an equally weighted portfolio of these three stocks?

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

b$.$ What is the variance of a portfolio invested $20$ percent each in A and $B$ and $60$ percent in $C?$

Note: Do not round intermediate calculations and round your answer to $6$ decimal places, e$.$g$.,161616.$

$\backslash$table$[[$a$.$ Expected return,$\%$