Consider the following information:

$\backslash$table$[[\backslash$table$[[$State of$],[$Economy$],[$Boom$],[$Bust$]],\backslash$table$[[$Probability of$],[$State$],[$of Economy$],[\mathrm{.}60]],$Rate of Return if State Occurs$],[$Stock A$,$Stock B$,$Stock C$],[\mathrm{.}18,\mathrm{.}04,\mathrm{.}31],[\mathrm{.}40,\mathrm{.}03,\mathrm{.}16,-\mathrm{.}11]]$

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 $5$ decimal places, e$.$g$.,16161.)$

$\backslash$table$[[,],[$a$.,$Expected return,$],[$b$.,$Variance of a portfolio,$]]$