Consider the following information: State of Economy Probability of State of Economy Rate of Return If State Occurs Stock A Stock B Stock C Boom $\mathrm{.}75\mathrm{.}07\mathrm{.}01\mathrm{.}27$ Bust $\mathrm{.}25\mathrm{.}1219-\mathrm{.}05$ 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 $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$ b$.$ What is the variance of a portfolio invested $20$ percent each in A and B and $60$ percent in C$?($Do not round intermediate calculations and round your answer to $6$ decimal places, e$.$g$.,\mathrm{.}161616.)$