Consider the following information:

$\backslash$table$[[,,$Rate of Return if State Occurs$],[$State of Economy,Probability of State of Economy,Stock A$,$Stock B$,$Stock C$],[$Boom$,\mathrm{.}72,\mathrm{.}10,\mathrm{.}04,\mathrm{.}40],[$Bust$,\mathrm{.}28,\mathrm{.}29,\mathrm{.}35,-\mathrm{.}20]]$

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 $27$ percent each in A and $B$ and $46$ 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,$17\mathrm{.}07\%$