Consider the following information:

$4$

points

$\backslash$table$[[,$Probability of State of Economy,Rate of Return if State Occurs$],[$State of Econony,Stock,Stock B$,$Stock C$],[$Boon$,.56,.67,.15,.35],[$Bust$,.44,.12,.84,-.05]]$

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$\mathrm{.}9,32\mathrm{.}16.$

b$.$ What is the variance of a portfolio invested $25$ percent each in A and B and $50$ percent in C $?$

Note: Do not round intermediate calculations and round your answer to $6$ decimal places, e$\mathrm{.}9,361616.$

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