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Consider the three normal random variables Y1 ~ N(,u = 0,02 = 4), Y2 N N (p: = 3,02 = 1), and Y3 ~ N01,

Consider the three normal random variables Y1 ~ N(,u = 0,02 = 4), Y2 N N (p: = 3,02 = 1), and Y3 ~ N01, = 3, 02 = 3). Find the distribution of the following random variables. a. 1+? b. 5Y1JgY2+Y3 c. (g) +(Y23)2

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