Let X 1 and X 2 be continuous r.v.s with the joint density f (x 1 ,x

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Let X1 and X2 be continuous r.v.’s with the joint density f (x1,x2) = 1/2 if |x1|+|x2| ≤ 1, and = 0 otherwise. Explain why f(x1,x2) is a density. Find P(X21 +X22 ≤ 1/2).

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