Consider the following information:

$\backslash$table$[[$State of Economy,Probability of State of Economy,Rate of Return if State Occurs,,$],[$Boom$,\mathrm{.}72,$Stock A$,$Stock B$,$Stock C$],[$Bust$,\mathrm{.}28,\mathrm{.}10,\mathrm{.}04,\mathrm{.}30]]$

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 pla

b$.$ What is the variance of a portfolio invested $27$ percent each in A and $B$ and $46$ per$$ent in $C?$

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

a$.$ Expected return

b$.$ Variance of portfolio