Alex has money to invest in some combination of four investments $($I$1,$ I$2,$ I$3,$ and I$4).$ There are three scenarios $($A$,$ B$,$ and C$)$ that may occur, and each investment will give a different return under each scenario $($see below table, where the numbers indicate the percent return under each scenario$).$ The probability of scenario A is $0\mathrm{.}35,$ the probability of scenario B is $0\mathrm{.}25,$ and the probability of scenario C is $0\mathrm{.}4.$