question archive Consider X and Y are continuous random variables having joint probability density function: f ( x, y) = cxy, 0<x<y<2 o, otherwise a

Consider X and Y are continuous random variables having joint probability density function: f ( x, y) = cxy, 0<x<y<2 o, otherwise a

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Consider X and Y are continuous random variables having joint probability density function: f ( x, y) = cxy, 0<x<y<2 o, otherwise a. (3 marks) Find the value of the constant c. b. (6 marks) Find the conditional probability density function of Y given X=1. Find the conditional variance of Y given X=1. c. (6 marks) Find P(X > Y2). d. (6 marks) Find P(max(X, Y) > 1).

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