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Let X and X be independent random variables with a standard normal distribution. Using properties of the multivariate normal distribution: a) Obtain the joint

 

Let X and X be independent random variables with a standard normal distribution. Using properties of the multivariate normal distribution: a) Obtain the joint distribution of Y=(X+X) and Y2=(X1-X2) b) Identify the distribution of Z=Y/Y. Explain c) Identify the distribution of W=Y2/Y1. Explain

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