Consider the following information:

$\backslash$table$[[\backslash$table$[[$State of$],[$Economy$],[$Boom$],[$Bust$]],\backslash$table$[[$Probability of$],[$State of$],[$Economy$],[75]],$Rate of Return if State Occurs$],[\backslash$table$[[$Stock A$],[\mathrm{.}07],[12]],\backslash$table$[[$Stock B$],[\backslash$table$[[\mathrm{.}18],[-\mathrm{.}08]]]],\backslash$table$[[\backslash$table$[[$Stock C$],[\mathrm{.}27],[-\mathrm{.}21]]]]]]$

a$.$ What is the expected return on an equally weighted portfolio of these three stocks? $($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$?($Do not round intermediate calculations and round your answer to $6$ decimal places, e$.$g$.,161616.)$

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