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

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

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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 $0 \leq x \leq 1$ and $0 \leq y \leq 1$ , and $p (x, y) = 0$ otherwise. Calculate the probability $P$ that the product $X Y$ is at least $\frac{1}{2}$ .

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Since the probability density function is 1 the probability P is ...View the full answer

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