Consider the following information:

$\backslash$table$[[$State of Economy,$\backslash$table$[[$Probability of State$],[$of Economy$]],$Rate of Return if State Occurs$],[$Stock A$,$Stock B$,$Stock C$],[$Boom$,\mathrm{.}20,\mathrm{.}35,\mathrm{.}45,\mathrm{.}25],[$Good$,\mathrm{.}45,\mathrm{.}20,\mathrm{.}16,\mathrm{.}09],[$Poor$,\mathrm{.}25,-\mathrm{.}02,-\mathrm{.}05,-\mathrm{.}03],[$Bust$,\mathrm{.}10,-\mathrm{.}16,-\mathrm{.}20,-\mathrm{.}12]]$

a$.$ Your portfolio is invested $24$ percent each in A and $C,$ and $52$ 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$.,16161.)$

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,,$\%$

Consider the following information:

$\backslash$table$[[,,$Rate of Return if State Occurs$],[$State of Economy,Probality of State,,$],[$of Economy,Stock A$,$Stock B$,$Stock C$,,],[$Boom$,\mathrm{.}20,\mathrm{.}36,\mathrm{.}46,\mathrm{.}26,],[$Good$,\mathrm{.}55,\mathrm{.}20,\mathrm{.}17,\mathrm{.}11,],[$Poor$,\mathrm{.}20,-\mathrm{.}04,-\mathrm{.}07,-\mathrm{.}06,],[$Bust$,\mathrm{.}05,-\mathrm{.}14,-\mathrm{.}32,-\mathrm{.}09,]]$

a$.$ Your portfolio is invested $26$ percent each in A and $C,$ and $48$ 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$.,16161.)$

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,$\%$