4. (18 points) Based on historical data for the 1926-2011 period, the average return and the standard deviation of the return for the large-company stocks are 11.8% and 20.3%, respectively. Assume the retums from the large-company stocks are normally distributed. Suppose you have $100,000 to invest in the Fidelity Large-Cap Equity Index Fund, a mutual fund that replicates the returns from large-cap stocks. What is the probability that your investment will not lose money this coming year? What is the probability that you ss than 10% from your investment this coming year? Assuming the inflation rate is expected to be 2.5 % for the coming year, what is the probability that you will not earn a positive real return from your investment