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Please solve this probability and statistics question. And explain.. Thank you very much.. 5. Let X and Y be jointly continuous random variable with joint

Please solve this probability and statistics question. And explain.. Thank you very much..

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5. Let X and Y be jointly continuous random variable with joint pdf: fx,y (x, y) = be-(2x+3y) x, y>0 0, otherwise a) Are X and Y idependent? b) Calculate the correlation between X and Y. b) Find marginal distribution of X and Y. c) Find P(X > 2) and P(Y 1)

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