Question: 13. Let X and Y have the joint probability density function Calculate P(X + Y 1/2), P(X Y 1/2), P(XY 1/4),

13. Let X and Y have the joint probability density function

if 0x1, 0 y 1 f(x, y) = elsewhere.

Calculate P(X + Y ≤ 1/2), P(X − Y ≤ 1/2), P(XY ≤ 1/4), and P(X2 + Y 2 ≤ 1).

if 0x1, 0 y 1 f(x, y) = elsewhere.

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