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The real numbers X and Y are randomly and independently chosen between zero and one. The joint probability density is The real numbers X and

The real numbers X and Y are randomly and independently chosen between zero and one. The joint probability density is

The real numbers X and Y are randomly and independently chosen between zero and one. The joint probability density is 1 if (513,31) E [0,1] X [031] 0 otherwise. Find the probability P that the product X Y is at most 1/2

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