Cathy is a doortocloor salesperson. when she goes to a house, the probability that she will make a sale is 0.24. This probability is constant and the probability that Cathy will make a sale at a house is independent of sales at other houses. Cathy approaches a xed number of houses every day, and she knows that the variance in the number of sales she makes each da'iur is 10.94 (when rounded to 2 decimal places). Given this infon'nation, calculate the xed number of houses that Calm:r approaches each day. Give your answer as a Iwhole number of days. Number of houses approached = E You are a day trader on the stock exchange and you have invested all ofyour 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 ofd're stocks in your portfolio are protable, your investment Iwill 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 protable is [1.45. Assuming that the protability of each stock is independent of all the other stocks, oaloulate the probability {M53} that your investment is a success. Give your answer as a decimal to 2 decimal plaoes. P6) = E Fran is about to sit a multiple choice test with 10 questions. She has studied quite hard, and believes that the probability that she will get any particular question correct is [1.9. Fran also believes that the questions are independent, and her perfon'nance on each question is independent of her performance on any other question. Fran's parents tell her that if she gets at least 9 of the 10 questions correct, the}.r will buyr her a gift. Based on this information, calculate the probability that Fran will get the gift. Give your answer as a decimal to 2 decimal places. probability = E