Math Solutions

(Step-by-Step) Assume that X 1 and X 2 are independent normal random variables, Xi ~ N(μ ,σ ^2), and let Y 1 = X 1 + X 2 and Y2 = X 1 - X 2 . Show

Question: Assume that X 1 and X 2 are independent normal random variables, Xi ~ \(N\left( \mu ,{{\sigma }^{2}} \right)\), and let Y 1 = X 1 + X 2 and Y2 = X 1 – X 2 . Show that Y 1 and Y 2 are independent and normally distributed.

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