Let the joint probability density function for ( X, Y) be f(x, y) = x+y x>0,...
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Let the joint probability density function for ( X, Y) be f(x, y) = x+y x>0, y>0, 2 3х +у<3, zero otherwise. а) Find the probability P(X<Y). 3. b) Find the marginal probability density function of X, fy(x). c) Find the marginal probability density function of Y, fy(y). d) Are X and Y independent? If not, find Cov (X, Y). Let the joint probability density function for ( X, Y) be f(x, y) = x+y x>0, y>0, 2 3х +у<3, zero otherwise. а) Find the probability P(X<Y). 3. b) Find the marginal probability density function of X, fy(x). c) Find the marginal probability density function of Y, fy(y). d) Are X and Y independent? If not, find Cov (X, Y).
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