计算口已知u~N(O,1),试求:(1) P(u<-1.64)=?(2) P (u≥2.58)=?(3) P (I u I ≥2.56)=?(4) P(0.34≤u<1.53) =?
计算 已知u~N(0,1),试求: (1) P(u<-1.64)=? (2) P (u≥2.58)=? (3) P (|u|≥2.56)=? (4) P(0.34≤u<1.53) =?
计算查附表1得:(1) P(u<-1.64)=0.05050(2) P (u≥2.58)=Φ(-2.58)=0.024940(3) P (I u I ≥2.56)=2Φ(-2.56)=2× 0.005234=0.010468(4) P (0.34≤u<1.53)=Φ(1.53)-Φ(0.34)=0.93669-0.6331=0.30389
计算 查附表1得: (1) P(u<-1.64)=0.05050 (2) P (u≥2.58)=Φ(-2.58)=0.024940 (3) P (|u|≥2.56) =2Φ(-2.56)=2×0.005234 =0.010468 (4) P (0.34≤u<1.53) =Φ(1.53)-Φ(0.34) =0.93669-0.6331=0.30389
99.7%口关于标准正态分布,以68.3%-95.5%下几种概率应当熟记:μutau+2μ+3gxu-3gu-2gj-g图3-8一般正态分布在几个特殊区间取值的概率P (-1≤u<1) =0.682699.7%P (-2≤u<2) =0.954568.3%95.5%p (-3≤u<3) =0.997302321图3-7标准正态分布随机变量在区间[-1,1]、【-2,2]和-3,3]中取值的概率P (-1.96≤u<1.96) =0.95P (-2.58≤u<2.58)=0.99
关于标准正态分布,以 下几种概率应当熟记: P(-1≤u<1)=0.6826 P(-2≤u<2)=0.9545 P(-3≤u<3)=0.9973 P(-1.96≤u<1.96)=0.95 P (-2.58≤u<2.58)=0.99