Consider the following information:

$\backslash$table$[[,,,$Rate of Return if State Occurs$],[$State of Economy,Probality of State,,$],[$of Economy,Stock A$,$Stock B$,$Stock C$,,],[$Boom$,\mathrm{.}58,\mathrm{.}14,\mathrm{.}22,\mathrm{.}40,],[$Bust$,\mathrm{.}42,\mathrm{.}16,\mathrm{.}06,-\mathrm{.}05,]]$

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 $2$ decimat places, e$.$g$.,32\mathrm{.}16.)$

b$.$ What is the variance of a portfolio invested $22$ percent each in A and B and $56.$ percent in C$?($Do not round intermediate calculations and round your answer to $6$ decimal places, e$.$g$.,.161616.)$

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