Consider the following information on a portfolio of three stocks:

$\backslash$table$[[$State of$,$Probability of$,$Stock A Rate of$,$Stock B Rate of$,$Stock C Rate of$],[$Economy$,$State of Economy,Return,Return,Return$],[$Boom$,\mathrm{.}15,\mathrm{.}08,\mathrm{.}33,\mathrm{.}44],[$Normal$,\mathrm{.}54,\mathrm{.}16,\mathrm{.}28,\mathrm{.}26],[$Bust$,\mathrm{.}31,\mathrm{.}17,-\mathrm{.}27,-\mathrm{.}36]]$

a$.$ If your portfolio is invested $38$ percent each in A and $B$ and $24$ percent in $C,$ what is the portfolio's expected return, the variance, and the standard deviation?

Note: Do not round intermediate calculations. Round your variance answer to $5$ decimal places, e$.$g$.,\mathrm{.}16161.$ Enter your other answers as a percent rounded to $2$ decimal pla$$es$,$ e$.$g$.,32\mathrm{.}16.$

b$.$ If the expected T$-$bill rate is $4\mathrm{.}55$ percent, what is the expected risk premium on the portfolio?

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

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