An analyst has been studying a particular stock and has come to the following two conclusions: stock will rise on a particular day is u.3 the f on any particular day is independent of the rise and fall of the stock on any other day rise or calculate the probability that over the next week (7 days) the stock will rise on exactly 3 days. give your answer as a decimal to 2 decimal places. probability= -2 of 3 [1 mark] id: mst. fet. pd. bd.02.0020a 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 most half of the stocks in your portfolio are profitable, your investment will be a failure. ge, you believe that the probability of a stock being profitable is 0.45. assuming that the profitability of each stock is independent of all the other stocks, calculate the probability (p(f)) that your investment is a failure, give your answer as a decimal to 2 mpirical data available from the historical records of the stock exch based decimal places. p(f) -3 of 3 id: mst. fet. pd. bd.03.0030a [1 mark ken is a factory worker, who is a part-time statistics student, and makes toys. he knows that the probability that any given toy on the factory line is faulty and is independent of whether or not any other toy on the line is faulty. through testing, ken concludes that if a sample of 50 toys are inspected, the expected number of faulty toys will be 4. calculate the probability that a randomly chosen toy is faulty. give your answer as a decimal to 2 decimal places. s a constant probability that a toy is faulty