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Finding the marginal probability density function for the given value

Suppose that two random variables, X and Y, have bivariate pdf given by:

fXY(x, y) = 2 (x + y), for 0 ≤ x ≤ y ≤ 1.

(a) Show that the marginal or unconditional pdf of X is given by: fX(x) = 1 + 2x - 3x2, 0 ≤ x ≤ 1.

(b) Find the expected value (mean) of X, that is, find E[X]+ = μX.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M9167920

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