Consider the following information:

$\backslash$table$[[,$Probability of State,Rate of Return if State Occurs$],[$of Economy,Stock A$,$Stock B$,$Stock C$,,],[$Boom$,\mathrm{.}58,\mathrm{.}08,\mathrm{.}17,\mathrm{.}37,],[$Bust$,\mathrm{.}42,\mathrm{.}14,\mathrm{.}06,-\mathrm{.}04,]]$

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$.,\mathrm{.}161616.)$

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