题目内容
若随机变量X服从正态分布N(3,1),且P(2≤X≤4)=0.6826,则P(X>4)=______.
P(3≤X≤4)=
P(2≤X≤4)=0.3413,
观察上图得,
∴P(X>4)=0.5-P(3≤X≤4)=0.5-0.3413
=0.1587.
故答案为:0.1587.

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观察上图得,
∴P(X>4)=0.5-P(3≤X≤4)=0.5-0.3413
=0.1587.
故答案为:0.1587.
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