Math Solutions

[Steps Shown] Assume that X1 and X2 are independent normal random variables, Xi ~ N(mu, sigma^2), and let Y1 = X1 + X2 and Y2 = X1 - X2. Show that Y1 and

Question: Assume that X1 and X2 are independent normal random variables, Xi ~ N(mu, sigma^2), and let Y1 = X1 + X2 and Y2 = X1 – X2. Show that Y1 and Y2 are independent and normally distributed.

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