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The joint density function of (X, Y ) is f(x, y) = c(x + y), 0...

The joint density function of (X, Y ) is f(x, y) = c(x + y), 0 ≤ y ≤ x ≤ 1.

(1) Find c.

(2) Find the conditional density f(y|x).

(3) Find P(Y > 0.3|X = 0.5).

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