Question: Let. Y 2 2X + 6 Where 6 N N(U,1) and X N Unil? 1}. Assume that X and E are independent. 51. Find the

Let. Y 2 2X + 6 Where 6 N N(U,1) and

Let. Y 2 2X + 6 Where 6 N N(U,1) and X N Unil? 1}. Assume that X and E are independent. 51. Find the mean and variance of Y. b. Find IE[Y3]. Hint: If Z w 310,1}? 41(2'9) = 0 for k is odd. c. Find CO'U(, 62). Are E and 62 independent

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