Consider the following information:

$\backslash$table$[[$State of$,$Probability of State,Rate of$,$turn if $S{t}_i,$Occurs$],[$Economy$,$of Economy,Stock $A,$Stock B$,$Stock C$],[$Boom$,0\mathrm{.}74,0\mathrm{.}33,0\mathrm{.}21,0\mathrm{.}07],[$Bust$,0\mathrm{.}26,0\mathrm{.}07,0\mathrm{.}15,0\mathrm{.}05]]$

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

Expected return $$

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

Variance $$

THIS PROBLEM IS FULLY COMPLETE AND HAS ALL NECESSARY INFORMATION.