设X与Y均服从正态分布N(0,σ2),而且P(X≤2,Y≤-2)=,则P(X>2,Y>-2)=_________.

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问题 设X与Y均服从正态分布N(0,σ2),而且P(X≤2,Y≤-2)=,则P(X>2,Y>-2)=_________.

选项

答案[*]

解析 P(X>2,y>一2)
=1一P[(X≤2)U(y≤-2)]
=1-P(X≤2)一P(Y≤-2)+P(X≤2,Y≤一2)
=
=P(X≤2,Y≤一2)
=
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