Use the following information to answer the next $6$ questions State of Probability Economy Return on D of State Boom Return on E in State $0\mathrm{.}35$ Normal Return on F in State $0\mathrm{.}0600\mathrm{.}50$ in State Recession $0\mathrm{.}3100\mathrm{.}0600\mathrm{.}150\mathrm{.}1500\mathrm{.}1800\mathrm{.}0600\mathrm{.}120-0\mathrm{.}210-0\mathrm{.}060$ What is the expected return for Asset E $?16\mathrm{.}50\%16\mathrm{.}80\%16\mathrm{.}44\%17\mathrm{.}50\%16\mathrm{.}70\%$What is the variance for Asset E $?0\mathrm{.}0251940\mathrm{.}0233820\mathrm{.}0275140\mathrm{.}0285610\mathrm{.}030415$ What is the standard deviation for asset E $?\mathrm{.}1690\mathrm{.}1230\mathrm{.}172$ O$\mathrm{.}089\mathrm{.}154$ What is the expected return for Asset F $?11\mathrm{.}25\%10\mathrm{.}88\%10\mathrm{.}55\%10\mathrm{.}35\%10\mathrm{.}75\%$What is the variance for Asset F $?0\mathrm{.}001240\mathrm{.}0029050\mathrm{.}006530\mathrm{.}0049030\mathrm{.}00313$ What is the standard deviation for asset F $?\mathrm{.}06\mathrm{.}07\mathrm{.}05\mathrm{.}08\mathrm{.}10$