$1.$An analyst estimates there is a probability of $17$ percent that there will be a recession next year. He thinks the probability of things being normal is three times the probability of a recession, with the remaining probability assigned to a boom taking place. A stock is expected to return $-11$ percent in a recession, $10$ percent under normal conditions and $25$ percent if there is a boom. What is the expected return $($in percent$)$ on this stock? Answer to two decimals, carry intermediate calcs. to four decimals.

$2.$A portfolio is invested $11$ percent in Stock G$,36$ percent in Stock J$,$ with remainder in Stock K$.$ The expected returns on these stocks are $8$ percent, $12\mathrm{.}92$ percent, and $12\mathrm{.}86$ percent, respectively. What is the portfolio's expected return? Answer to two decimals.