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The following table presents the performance of stock and bood funds under various scenarios. Scenario Probability Rate of return of stock fund (%) Rate of return of bond fund (%) Severe recession Mild recession Normal growth Boom 0.10 0.20 0.50 0. 20 -10 15 0 6 -5 3 a. Calculate the expected returns of the stock and bood funds. (4 marks) b. Calculate the standard deviations of the stock and bood funds. (4 marks) c. Calculate the correlation coefficient of the stock and bood funds. (2 marks)