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ζ~N(1,σ
2
)且P{1≤ζ≤3)=0.3,则P{ζ≤-1)=()
分类:
概率论与数理统计(经管类)(04183)
发表:2024年09月12日 09时09分01秒
作者:
admin
阅读:
(16)
ζ~N(1,σ
2
)且P{1≤ζ≤3)=0.3,则P{ζ≤-1)=()
A、0.1
B、0.2
C、0.3
D、0.5
【正确答案】:B
【题目解析】:P{1≤ζ≤3}=P{(1-1)/σ≤(ζ-1)/σ≤(3-1)/σ)=Φ(2/σ)-Φ(0)=0.3⇒Φ(2/σ)=0.8,P{ζ≤-1}=P{(ζ-1)/σ≤(-1-1)/σ}=Φ(-2/σ)=1-Φ(2/σ)=0.2.
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