Problem $13-10$ Returns and Standard Deviations $[$LO$1]$

Consider the following information:

$\backslash$table$[[,$Probability of State,Rate of Return if State Occurs$],[$State of Economy,of Economy,Stock A$,$Stock B$,$Stock C$,],[$Boom$,\mathrm{.}15,\mathrm{.}31,\mathrm{.}41,\mathrm{.}21,],[$Good$,\mathrm{.}60,\mathrm{.}16,\mathrm{.}12,\mathrm{.}10,],[$Poor$,\mathrm{.}20,-\mathrm{.}03,-\mathrm{.}06,-\mathrm{.}04,],[$Bust$,\mathrm{.}05,-\mathrm{.}11,-\mathrm{.}16,-\mathrm{.}08,]]$

a$.$ Your portfolio is invested $30$ percent each in A and $C,$ and $40$ percent in $B.$ What is the expected return of the portfolio? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$-1.$ What is the variance of this portfolio? $($Do not round intermediate calculations and round your answer to $5$ decimal places, e$.$g$.,\mathrm{.}16161.)$

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

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