8.已知函数f(x)=x2−2ξx+3f(x)=x^{2}-2\xi x+3f(x)=x2−2ξx+3在(−∞,−1)(-\infty ,-1)(−∞,−1)上单调递减的概率为12\frac{1}{2}21,且随机变量ξ∼N(μ,1)\xi \sim N(\mu ,1)ξ∼N(μ,1),则P(1⩽ξ⩽2)=P(1\leqslant \xi \leqslant 2)=P(1⩽ξ⩽2)=(附:若X∼N(μ,σ2)X\sim N(\mu ,\sigma ^{2})X∼N(μ,σ2),则P(μ−σ⩽X⩽μ+σ)=0.6827P(\mu -\sigma \leqslant X\leqslant \mu +\sigma )=0.6827P(μ−σ⩽X⩽μ+σ)=0.6827,P(μ−2σ⩽X⩽μ+2σ)=0.9545P(\mu -2\sigma \leqslant X\leqslant \mu +2\sigma )=0.9545P(μ−2σ⩽X⩽μ+2σ)=0.9545,P(μ−3σ⩽X⩽μ+3σ)=0.9973)(P(\mu -3\sigma \leqslant X\leqslant \mu +3\sigma )=0.9973)(P(μ−3σ⩽X⩽μ+3σ)=0.9973)( )))