Consider the following information:

$\backslash$table$[[\backslash$table$[[$State of Economy$],[$Boom$],[$Bust$]],\backslash$table$[[$Probability of State$],[$of Economy$],[\mathrm{.}64]],$Rate of Return if State Occurs$],[\backslash$table$[[$Stock A$],[\mathrm{.}10],[\mathrm{.}10]],\backslash$table$[[$Stock B$],[\mathrm{.}18],[\mathrm{.}04]],\backslash$table$[[$Stock C$],[\mathrm{.}36],[-\mathrm{.}07]]]]$

a$.$ What is the expected return on an equally weighted portfolio of these three stocks?

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

b$.$ What is the variance of a portfolio invested $15$ percent each in A and $B$ and $70$ percent in C$?($Do not round intermediate calculations and round your answer to $6$ decimal places, e$.$g$.,\mathrm{.}161616.)$

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