Question: Problem 5: 10 points Continue with the same assumptions as in the previous problem. A bivariate vector [X,Y) is defined as follows: X = 0.6Z1

 Problem 5: 10 points Continue with the same assumptions as in
the previous problem. A bivariate vector [X,Y) is defined as follows: X

Problem 5: 10 points Continue with the same assumptions as in the previous problem. A bivariate vector [X,Y) is defined as follows: X = 0.6Z1 + 0.822 and Y = 0.622 0.8Z1 1. Derive density of X 2 and identify it. 2. Determine expected value of X 2 3. Evaluate variance of X 2

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