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Suppose that X, Y , and Z are nonnegative random variabl

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Suppose that X, Y , and Z are nonnegative random variables such that Pr(X + Y + Z ? 1.3) = 1. Show that X, Y , and Z can

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Suppose that X, Y , and Z are nonnegative random variables such that Pr(X + Y + Z ? 1.3) = 1. Show that X, Y , and Z cannot possibly have a joint distribution under which each of their marginal distributions is the uniform distribution on the interval [0, 1].

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