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Q44Section C (Section C)44 of 60

Quadrant probability for independent standard normals

Let XX and YY be continuous random variables with the joint probability density function f(x,y)=12πe−(x2+y2)/2f(x,y)=\frac1{2\pi}e^{-(x^2+y^2)/2}, (x,y)∈R2(x,y)\in\mathbb R^2. Then P(X>0,Y<0)=P(X>0,Y<0)= ________________________

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