Question: Let (X, Y) have the density f(x, y) = k if x 2 + y 2 < 1 and 0 otherwise. Determine k. Find the

Let (X, Y) have the density

f(x, y) = k if x2 + y2 < 1

and 0 otherwise. Determine k. Find the densities of the marginal distributions. Find the probability

P(X2 + Y2 < 1/4).

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