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An analyst has been studying a particular stock and has come to the following two conclusions:the

An analyst has been studying a particular stock and has come to the following two conclusions:the

probability that the stock will rise on a particular day is 0.35the rise or fall of the stock on any particular day is independent of the rise and fall of the stock on any other day

Calculate the probability that over the next week (7 days) the number of days that the stock will rise is not5. Give your answer as a decimal to 2 decimal places.

Probability = [1  mark]- 2 of 3   

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 0.35. Assuming that the profitability 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.

P(S) = [1  mark]- 3 of 3 

Cathy is a door-to-door salesperson. When she goes to a house, the probability that she will make a sale is 0.23. 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 fixed number of houses every day, and she knows that the variance in the number of sales she makes each day is 10.98 (when rounded to 2 decimal places).

Given this information, calculate the fixed number of houses that Cathy approaches each day. Give your answer as a whole number of days.

Number of houses approached = 

 
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