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Competitive Stats
Q107Section C (Part C)107 of 120

Distribution of X2+Y2X^2+Y^2 and e−(X2+Y2)/2e^{-(X^2+Y^2)/2}

Let XX and YY be independent and identically distributed N(0,1)N(0,1) random variables. Let S=X2+Y2S=X^2+Y^2 and T=e−(X2+Y2)/2T=e^{-(X^2+Y^2)/2}. Then, which of the following statements are true?

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