Question: The vector ((X, Y)) has the joint distribution function (F_{X, Y}(x, y)). Show that [P(X>x, Y>y)=1-F_{Y}(y)-F_{X}(x)+F_{X, Y}(x, y)]

The vector \((X, Y)\) has the joint distribution function \(F_{X, Y}(x, y)\). Show that

\[P(X>x, Y>y)=1-F_{Y}(y)-F_{X}(x)+F_{X, Y}(x, y)\]

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