设X与Y均服从正态分布N(0,σ2),而且P(X≤2,y≤-2)=1/4,则P(X﹥2,Y﹥-2)=____.
设X与Y均服从正态分布N(0,σ2),而且P(X≤2,y≤-2)=1/4,则P(X﹥2,Y﹥-2)=____.
【正确答案】:1/4。解析:p(X﹥2,Y﹥-2)=1-p[(X≤2)U(y≤一2)]=1-p(X≤2)-p(y≤-2)+p(X≤2,Y≤-2)=1-Φ(2/σ)-Φ[-(2/σ)]+p(X≤2,Y≤-2)=p(X≤2,Y≤-2)=1/4
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