Let (X, Y) have the density f(x, y) = k if x 2 + y 2 <

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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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Advanced Engineering Mathematics

ISBN: 978-0470458365

10th edition

Authors: Erwin Kreyszig

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Question Posted: Dec 26, 2018 06:09 AM

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Let (X, Y) have the density f(x, y) = k if x 2 + y 2 <

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x 2 y 2 1 implies y 1 x 2 x 1 y 2 this gives the li...View the full answer

Advanced Engineering Mathematics

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