Let X 1 and X 2 be continuous r v s with the joint density f (x 1 ,x 2 ) 1 2 if x 1 x 2 1, and 0 otherwise Explain why f(x 1 ,x 2 ) is a density Find P(X 2 1 X 2 2 1 2)

Question: Let X 1 and X 2 be continuous r.v.s with the joint density f (x 1 ,x 2 ) = 1/2 if |x 1 |+|x

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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