Question: Please help: Consider a Gaussian random vector with distribution 1 1 fX1y($,y): gexp (5 (3:2 23y +2y2)) any 6 R. (a 1 pt Find the

Please help:

Consider a Gaussian random vector with distribution 1 1 fX1y($,y): gexp (5 (3:2 23y +2y2)) any 6 R. (a 1 pt Find the marginal PDF of Y. (b (c (d 1 pt Recall that the conditional expectation E[X|Y] can be treated as a random 1 pt What is the mean and variance of Y? ) ) ) 1 pt Find the conditional PDF of X given Y = 1. ) variable. Find the mean and variance of E[X |Y]. (e) 1 pt Suppose that U and V are given by the linear relation U V X Y X Y 01 11 Find the joint distribution of U and V

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