Question: Let ~ (1 , 12), ~ (2 , 22). Furthermore, X and Y are independent to each other. Please derive the distribution of (1) X+Y

Let ~ (1 , 12), ~ (2 , 22). Furthermore, X and Y are independent to each other.

Please derive the distribution of

(1) X+Y

(2) X-Y

(3) 2x-3y+6

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