Question: Let variables X and Y have joint density f(x, y) = 3(x + y)for x > 0,y > 0, x + y < 1 and

Let variables X and Y have joint density f(x, y) = 3(x + y)for x > 0,y > 0, x + y <

1 and 0 otherwise. Obtain: (i) The density and the cdf of the marginal distribution of X. (ii) P(X + Y > 0.5|X < 0.5).

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