Suppose that a point (X, Y) is chosen at random from the circle S defined as follows:

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Suppose that a point (X, Y) is chosen at random from the circle S defined as follows:
S = {(x, y): x2 + y2 ≤ 1}.
a. Determine the joint p.d.f. of X and Y, the marginal p.d.f. of X, and the marginal p.d.f. of Y.
b. Are X and Y independent?

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Probability And Statistics

ISBN: 9780321500465

4th Edition

Authors: Morris H. DeGroot, Mark J. Schervish

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Question Posted: Nov 25, 2015 03:23 AM

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Suppose that a point (X, Y) is chosen at random from the circle S defined as follows:

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