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4. Suppose X has a normal distribution with mean 2 and variance 4 , and suppose Y has a normal distribution with mean 3 and variance 6 . Also, suppose X and Y are independent. Using a moment generating function approach, find the distribution of X+Y..

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4. Suppose X has a normal distribution with mean 2 and variance 4 , and suppose Y has a normal distribution with mean 3 and variance 6 . Also, suppose X and Y are independent. Using a moment generating function approach, find the distribution of X+Y.

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