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2-dimensional density function (5p) Find a parameter r such that: f(x,y) = x+y for la+yr, 10 otherwise is a 2-dimensional density function for some

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2-dimensional density function (5p) Find a parameter r such that: f(x,y) = x+y for la+yr, 10 otherwise is a 2-dimensional density function for some 2-dimensional random variable (X, Y). (2p) Find marginal distributions for X and Y, compute their expected values and variances (1p) Compute the correlation between X and Y (1p) Are X and Y independent? (1p)

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