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Joint and Marginal PDFs of Points in a Rectangle

9. Suppose that a point (X, Y) is chosen at random from the rectangle S = {(x, y) 0 ≤ r ≤ 2 and 1 ≤ y ≤ 4}.
(a) determine the joint pdf of X and Y, the marginal pdf of X and the marginal pdf of Y.
(b) Are X and Y independent? Uncorrelated?

keywords: probability density functions

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Joint and Marginal PDFs of Points in a Rectangle are investigated. The solution is detailed and well presented.

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