A stock has a beta of $1\mathrm{.}17$ and an expected return of $15\mathrm{.}4$ percent. A risk$-$free asset currently earns $4\mathrm{.}7$ percent. The beta of a portfolio comprised of these two assets is $\mathrm{.}76.$ What percentage of the portfolio is invested in the stock?

A$)65$ percent

B$)77$ percent

C$)74$ percent

D$)71$ percent

E$)62$ percent

What is the standard deviation of the returns on a $$30,000$ portfolio that consists of Stocks $S$ and T$?$ Stock S is valued at $$18,000.$

$\backslash$table$[[,\backslash$table$[[$Probability of$],[$State of Economy$]],\backslash$table$[[$Rate of Return$],[$if State Occurs$]]],[,,$Stock S$,$Stock T$],[$Boom$,\mathrm{.}05,\mathrm{.}11,\mathrm{.}09],[$Normal$,\mathrm{.}85,\mathrm{.}08,\mathrm{.}07],[$Bust$,\mathrm{.}10,-\mathrm{.}05,\mathrm{.}04]]$