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Suppose two random variables X and Y have a joint probability density function (pdf): 1/, f(x, y) = 0, x + y 1 elsewhere

Suppose two random variables X and Y have a joint probability density function (pdf): 1/, f(x, y) = 0, x + y 1 elsewhere 1. Find the marginal pdfs fx(x), fy (y). 2. Are X and Y independent? Justify your answer. 3. Are X and Y uncorrelated? Justify your answer.

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