Suppose that the random variables X1 and X2 are independent, and that each has the normal distribution

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Suppose that the random variables X1 and X2 are independent, and that each has the normal distribution with mean μ and variance σ2. Prove that the random variables X1 + X2 and X1 − X2 are independent.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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Probability And Statistics

ISBN: 9780321500465

4th Edition

Authors: Morris H. DeGroot, Mark J. Schervish

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