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Mr. Joy Render who received his superannuation recently wants to invest in shares and he has a total of $200,000 available for investment. He considers

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Mr. Joy Render who received his superannuation recently wants to invest in shares and he has a total of $200,000 available for investment. He considers how much to invest in different companies given the economic recovery in post pandemic phase. Based on the historical data Mr. Render's broker believes that the rate of return on any proposed investment is approximately normally distributed with a mean of 25% and standard deviation of 13%. In order to reach a final decision, Mr. Render seeks your support to make a few calculations so that he can make an informed decision of investment. (ix) Find the probability that Mr. Render's return of investment will be between 15% and 35%. (:1 marks) (x) Find the probability of losing money. (2 marks) (xi) Find the return if Mr. Render is to be positioned in the top 10% of his return from the investment. (2 marks)

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