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An investor has$500 and decides between two products, A and B. The return for Product A is X and for Product B is Y. X

An investor has$500 and decides between two products, A and B. The return for Product A is X and for Product B is Y. X and Y both are normally distributed with mean of 0.11 and standard deviation of 0.01. X and Y arestatistically independent.

Question: If you split your money evenly, what is the probability you will make a profit?

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