Let the joint density function of X and Y be given by e-(y+#) for 0 < x, y < ∞», fx,y (x, y) otherwise. (a) y ncing the marginal denoity 9), Show that (b) (i) For y > 0, determine fx|Y (x\y), the conditional density of X given that Y = y. Explain (without calculation) why, for y > 0, E[X|Y = y] = y. Hence, or otherwise, show that E[X] = 1. %3D

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