Q3 Let X denote the percentage increase in the Dow Iones Index in the coming year and let Y denote the percentage increase in the S&P 500 Index in the coming year. Suppose that X and Y obey a joint Normal distribution, and that the mean ofX is 11% and its standard deviation is 13%, and the mean on is 10% and its standard deviation is 12%. Suppose that CO RR[X,Y]=0.43. [a] What is the probability that the Dow Jones Index will increase by more than 11% in the coming year? [b] What is the probability that the Dow Iones Index will decrease by more than 11% in the coming year