If X1 ~ N( , ) and X2 ~ N ( , ) are iid normal random

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If X1 ~ N(μ , σ) and X2 ~ N (μ , σ) are iid normal random variables, then what’s the difference between 2X1 and X1 + X2? They both have normal distributions.

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Statistics For Business Decision Making And Analysis

ISBN: 9780321890269

2nd Edition

Authors: Robert Stine, Dean Foster

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Question Posted: Jul 14, 2015 08:52 AM

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If X1 ~ N( , ) and X2 ~ N ( , ) are iid normal random

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Both are normal with mean 2 but the variance of the sum is 2 2 rather than ...View the full answer

Statistics For Business Decision Making And Analysis

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