Question: 5.39 Two random variables have a joint Gaussian PDF given byfx, v(x, y) = 3x2+3y2 -4xy+ 14x -16y+23 exp 61V5 30Find E[X] , E[Y], Var(X),

![v(x, y) = 3x2+3y2 -4xy+ 14x -16y+23 exp 61V5 30Find E[X] ,](https://s3.amazonaws.com/si.experts.images/answers/2024/07/668e1c9f1e5c5_471668e1c9f0c627.jpg)
![E[Y], Var(X), Var(Y), Py y, Cov(X, Y), and E[XY].Answers: -1, 2, 9,](https://s3.amazonaws.com/si.experts.images/answers/2024/07/668e1c9f594ad_471668e1c9f475c5.jpg)

5.39 Two random variables have a joint Gaussian PDF given byfx, v(x, y) = 3x2+3y2 -4xy+ 14x -16y+23 exp 61V5 30Find E[X] , E[Y], Var(X), Var(Y), Py y, Cov(X, Y), and E[XY].Answers: -1, 2, 9, 9, 2/3, 6, and 4
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