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3. You are given the following information about a portfolio of three alternative securities: Rate of Return in % if State Occurs Stock A Stock B Stock C State of Economy Probability of State of Economy 0.30 0.30 0.40 Boom Nor Recession 28 3 -40 12 9 5 18 7 -22 Assume that you have invested 40 percent in both stocks A and B, and 20 percent in stock C. a. Calculate the portfolio rate of return in each state of economy. b. Calculate the portfolio expected return and standard deviation. Show all your work