答案:
1---5 CA CCB
6. 0.2
7. 2
8. Y~N(2,62)
9. 解:∵ξ~N(1,1),
∴μ=1,σ=1.
(1)P(0<ξ≤2)=P(1-1<ξ≤1+1)
=P(μ-σ<ξ≤μ+σ)
=0.682 6.
(2)∵P(2<ξ≤3)=P(-1<ξ≤0),
∴P(2<ξ≤3)=[P(-1<ξ≤3)-P(0<ξ≤2)]
=[P(1-2<ξ≤1+2)-P(1-1<ξ≤1+1)]
=[P(μ-2σ<ξ≤μ+2σ)-P(μ-σ<ξ≤μ+σ)]
=×(0.954 4-0.682 6)=0.135 9.
(3)∵P(ξ≥3)=P(ξ≤-1),
∴P(ξ≥3)=[1-P(1-2<ξ≤1+2)]
=[1-P(μ-2σ<ξ≤μ+2σ)]
=×(1-0.954 4)=0.022 8.
10. 解:(1)由于X~N(2,σ2),对称轴x=2,画出示意图如图:
∵P(0 ∴P(0