Question: Show that f (x, y) = 1/x, 0 < y < x < 1, is a joint density function. Assuming that f is the joint

Show that f (x, y) = 1/x, 0 < y < x < 1, is a joint density function. Assuming that f is the joint density function of X,Y, find
(a) The marginal density of Y;
(b) The marginal density of X;
(c) E[X];
(d) E[Y].

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