标准化应用(2) P(2.9<X<7.1)=.1664 x-2.9-5 21 Normal 10 Standardized Distribution Normal Distribution 10 1664 0832.0832 2.957.1X 210.21Z
0 = 1 -.21 .21 Z 标准化应用（2） P(2.9 < X < 7.1) = .1664 Normal Distribution .1664 .0832 .0832 Standardized Normal Distribution Shaded Area Exaggerated 5 = 10 2.9 7.1 X 21 10 2 9 5 . x . z = − − = − = 21 10 7 1 5 . x . z = − = − =
Example: P(X28)=3821 x-8-5 =.30 10 Normal Standardized Normal Distribution Distribution G=10 5000 3821 1179 u=58X =0.30z Shaded Area Exaggerated
= 0 Z = 1 .30 Example: P(X 8) = .3821 Normal Distribution Standardized Normal Distribution .1179 .5000 .3821 Shaded Area Exaggerated . = 5 X = 10 8 30 10 8 5 . x z = − = − =
Finding Z values for Known Probabilities 已知概率求Z值 What Is z Given Standardized normal P(2)=0.1217? Probability Table(Portion) Z00 0.2 1217 00.0000.0040.0080 0.1.03980438.0478 u=031z 02.0793.0832.0871 Shaded Area .1179.12171255 Exaggerated
Z .00 0.2 0.0 .0000 .0040 .0080 0.1 .0398 .0438 .0478 0.2 .0793 .0832 .0871 .1179 .1255 = 0 Z = 1 .31 Finding Z Values for Known Probabilities 已知概率求Z值 .1217 .01 0.3 Standardized Normal Probability Table (Portion) What Is Z Given P(Z) = 0.1217? Shaded Area Exaggerated .1217
Finding X values for Known Probabilities 已知概率求X值 Normal Distribution Standardized Normal Distribution 10 1217 1217 u=5? H=0:312 X=+Zo=5+(0.31)(10)=8.1 Shaded Area Exaggerated
= 0 Z = 1 = 5 X .31 = 10 ? Finding X Values for Known Probabilities 已知概率求X值 Normal Distribution Standardized Normal Distribution .1217 .1217 Shaded Area Exaggerated X = + Z = 5 + (0.31)(10) = 8.1