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19. If the joint probability density function of two continuous random variables X and Y is given by f(x, y) = 2, 0 < y

19. If the joint probability density function of two continuous random variables X and Y is given by

f(x, y) = 2, 0 < y < 3x, 0 < x < 1,

find (a) f(y|x), (3) (b) E(Y |x), (2) (c) Var(Y |x).

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