$\backslash$table$[[\backslash$table$[[$State of$],[$Economy$]],\backslash$table$[[$Probability of$],[$State of Economy$]],$Rate of Return if State Occurs$],[$Stock A$,$Stock B$,$Stock C$,],[$Boom$,\mathrm{.}15,\mathrm{.}35,\mathrm{.}45,\mathrm{.}27],[$Cood$,\mathrm{.}55,\mathrm{.}16,\mathrm{.}10,\mathrm{.}08],[$Poor$,\mathrm{.}25,-\mathrm{.}01,-\mathrm{.}06,-\mathrm{.}04],[$Bust$,\mathrm{.}05,-\mathrm{.}12,-\mathrm{.}12,-\mathrm{.}09]]$

a$.$ Your portfolio is invested $35$ percent each in A and $C,$ and remaining in $B.$ What is the expected return of the portfolio?

b$.$ What is the variance of this portfolio? The standard deviation?