Probability of State IT State of Economy Boom Growth Stagnant Return on Asset Rin State 0.040 0.040 0.040 Return on Asset S in State 0.280 0.150 0.160 Return on Asset Tin State 0.440 0.270 0.020 0.24 0.39 0.21 Recession 0.16 0.040 -0.010 -0.160 a. What is the expected return of a portfolio with equal investment in all three assets? b. What is the portfolio's variance and standard deviation