Please use math formula and show each step. Thank you

Question 1 (10 points) Please use our Chapter 8 PPT slides to answer the question: Suppose a portfolio manager wishes to construct a portfolio using two securities Coll and USR, both of their return data are shown in the Slide 5 with the title "Hypothetical Investment Alternatives". Specifically, the manger allocates $60,000 in the Coll and $30,000 in the USR. Please calculate (1) Portfolio Expected Return (2) Portfolio Standard Deviation Hypothetical Investment Alternatives Economy Recession Prob. T-Bills HT Coll 0.1 5.5% -27.0% 27.0% USR MP 6.0% -17.0% Below avg 0.2 5.5% -7.0% 13.0% -14.0% -3.0% Average 0.4 5.5% 15.0% 0.0% 3.0% 10.0% Above avg 0.2 5.5% 30.0% -11.0% 41.0% 25.0% Boom 0.1 5.5% 45.0% -21.0% 26.0% 38.0%