Consider the following information about three stocks:

$\backslash$table$[[,\backslash$table$[[$Probability of State$],[$State of Economy$],[$of Economy$]],$Rate of Return if State Occurs$],[$Boom$,\mathrm{.}30,$Stock B$,$Stock C$],[$Normal$,\mathrm{.}45,\mathrm{.}12,\mathrm{.}42,\mathrm{.}54],[$Bust$,\mathrm{.}30,\mathrm{.}03,-\mathrm{.}24,-\mathrm{.}44]]$

a$-1.$ If your portfolio is invested $45$ percent each in A and $B$ and $10$ percent in $C,$ what is the portfolio expected return? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

a$-2.$ What is the variance? $($Do not round intermediate calculations and round your answer to $5$ decimal places, e$.$g$.,\mathrm{.}16161.)$

a$-3.$ What is the standard deviation? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ If the expected T$-$bill rate is $3\mathrm{.}20$ percent, what is the expected risk premium on the portfolio? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$-1.$ If the expected inflation rate is $2\mathrm{.}80$ percent, what are the approximate and exact expected real returns on the portfolio? $($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$-2.$ What are the approximate and exact expected real risk premiums on the portfolio?

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

Answer is complete but not entirely correct.

a$-1.$ Portfolio expected return

$10\mathrm{.}11$

$\%$