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Suppose that four random variables Y1, Y2, Y3, and Y4 follow a normal distribution with mean 5 and standard deviation 1. That is, Y1

Suppose that four random variables Y1, Y2, Y3, and Y4 follow a normal distribution with mean 5 and standard deviation 1. That is, Y1 N(5, 1), Y2N(5, 1), Y3 ~ N(5, 1), and Y4 N(5, 1) What is the distribution of Y1 + Y2 + Y3 + Y4? 2 2 2 ON(5,4) ON(20, 2) ON(20, 6) ON(20, 8)

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