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#62450963-6c20-4dfd-b530-57ab823307dc基础填空题二项分布与超几何分布概率与统计

8.已知函数f(x)=x22ξx+3f(x)=x^{2}-2\xi x+3(,1)(-\infty ,-1)上单调递减的概率为12\frac{1}{2},且随机变量ξN(μ,1)\xi \sim N(\mu ,1),则P(1ξ2)=P(1\leqslant \xi \leqslant 2)=(附:若XN(μ,σ2)X\sim N(\mu ,\sigma ^{2}),则P(μσXμ+σ)=0.6827P(\mu -\sigma \leqslant X\leqslant \mu +\sigma )=0.6827P(μ2σXμ+2σ)=0.9545P(\mu -2\sigma \leqslant X\leqslant \mu +2\sigma )=0.9545P(μ3σXμ+3σ)=0.9973)(P(\mu -3\sigma \leqslant X\leqslant \mu +3\sigma )=0.9973)(  ))