3 Suppose the joint probability density function of X and Y

3. Suppose the joint probability density function of X and Y is given by f(x, y) = x+y/50 if z = 1,2,... ,y and y = 1,2,3,4. (a) Find the following probabilities: i. P(X > = 2, Y = 4). (b) Find the marginal probability density function X and Y. (c) Find the conditional probability density function of Y given X = x and use it to find E(Y|X=2).

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