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The joint density function for random variables X, Y, and Z is f(x, y, z)=...

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Calculus

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The joint density function for random variables X, Y, and Z is f(x, y, z)= Cxyz if 0?x?1, 0 ? y ? 2, 0 ? z ? 2, and f(x, y, z) = 0 otherwise.(a) Find the value of the constant C.(b) Find P(X ? 1, Y ? 1, Z ? 1).(c) Find P(X+Y+Z? 1).

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