$\backslash$table$[[\backslash$table$[[$State of$],[$Economy$]],\backslash$table$[[$Probability of$],[$State of Economy$]],$Stock A$,$Stock B$,$Stock C$],[$Boom$,0\mathrm{.}15,0\mathrm{.}35,0\mathrm{.}45,0\mathrm{.}33],[$Good$,0\mathrm{.}45,0\mathrm{.}12,0\mathrm{.}10,0\mathrm{.}17],[$Poor$,0\mathrm{.}35,0\mathrm{.}01,0\mathrm{.}02,-0\mathrm{.}05],[$Bust$,0\mathrm{.}05,-0\mathrm{.}11,-0\mathrm{.}25,-0\mathrm{.}09]]10.$ Returns and Standard Deviations:

Supposed that your portfolio is invested $30\%$ in A$,40\%$ in B$,$ and $30\%$ in C

a$)$ What is the expected return on the portfolio?

b$)$ What is the variance and standard deviation on the portfolio?

Answer: