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Exercise 7.20. Let X have density fx(x) = 2x for 0 < x < 1 and let Y be uniform on the interval (1,2). Assume X and Y independent. Give the joint density function of (X. Y). Calculate P(Y - X2 Find the density function of X + Y. (a) (b)

Do only (b). Use convolution.

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Soiotior b) Let the sum of tuo zandom variable x and y be2 うむ)/ + t The joint density of X and y hen the density Function i3

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Do only (b). Use convolution. Exercise 7.20. Let X have density fx(x) = 2x for 0...
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