$\backslash$table$[[$State of Economy,Probability of State of Economy,Rate of Return if State Occurs,$],[$Boom$,$Stock A$,$Stock B$,$Stock C$,],[$Bust$,\mathrm{.}74,\mathrm{.}12,\mathrm{.}06,\mathrm{.}42],[,\mathrm{.}26,\mathrm{.}31,\mathrm{.}37,-\mathrm{.}22]]$

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

Note: 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 $29$ percent each in A and $B$ and $42$ percent in $C?$

Note: Do not round intermediate calculations and round your answer to $5$ decimal places, e$.$g$.,16161.$

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