Numbers X and Y between 0 and 1 are chosen randomly. The joint probability density is

Chapter 15, Problem 54

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Numbers X and Y between 0 and 1 are chosen randomly. The joint probability density is p(x, y) = 1 if 0 x 1 and 0 y 1, and p(x, y) = 0 otherwise. Calculate the probability P that the product XY is at least 1 2 .

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