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7. 20 pt - Suppose that X and Y are two jointly Gaussian random variables with the joint PDF 1 fx, y (x, y) =

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7. 20 pt - Suppose that X and Y are two jointly Gaussian random variables with the joint PDF 1 fx, y (x, y) = 2 TT exp NIH (a2+ 2xcy + 2y?) x, y ER. (a) 5 pt - Find the marginal PDF of Y. (b) 5 pt - Find the conditional PDF of X given Y = 1. (c) 10 pt - Suppose that U and V are given by the linear relation Find the joint PDF of U and V

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