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Find the joint probability density function

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A two dimensional variable (X, Y) is uniformly distributed over the square having the vertices (2, 0), (0, 2), (-2, 0), and (0, -2). Find:

(i) Find the joint probability density function.

(ii) Find associated marginal and conditional distributions.

(iii) Find E(X), E(Y), Var(X), Var(Y).

(iv) Find E(Y|X) and E(X|Y).

(v) Coefficient of correlation between X and Y.

Reference no: EM132522163

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