You are a day trader on the stock exchange and you have invested all of your life savings in a portfolio containing 6 stocks. After dwelling on the risks involved in your investment, you have come to the conclusion that if at least half of the stocks in your portfolio are profitable, your investment will be a success. Based on empirical data available from the historical records of the stock exchange, you believe that the probability of a stock being profitable is 0.4. Assuming that the protability of each stock is independent of all the other stocks, calculate the probability (P(S)) that your investment is a success. Give your answer as a decimal to 2 decimal places. F'(5) =