Normal Distribution,
P.D.F (Probability Density Function), N (μ, σ2)
Standard Normal Distribution, N (0, 1)
,
C.D.F (Cumulative
Distribution Function)
Z(=±z)
|
P(Z≤+z)
|
P(Z≤-z)
|
P(-z≤Z≤+z)
|
Zσ(=X-μ)
|
Cpk(=Z/3)
|
1
|
0.841344746069
|
0.158655253931
|
0.682689492137
|
1σ
|
0.3333
|
2
|
0.977249868052
|
0.022750131948
|
0.954499736104
|
2σ
|
0.6667
|
3
|
0.998650101968
|
0.001349898032
|
0.997300203937
|
3σ
|
1.0000
|
4
|
0.999968328758
|
0.000031671242
|
0.999936657516
|
4σ
|
1.3333
|
5
|
0.999999713348
|
0.000000286652
|
0.999999426697
|
5σ
|
1.6667
|
6
|
0.999999999013
|
0.000000000987
|
0.999999998027
|
6σ
|
2.0000
|
MS Excel Statistical Function:
P(Z≤+z)=NORMSDIST(z)
P(Z≤-z)=NORMSDIST(-z)
P(-z≤Z≤+z)=P(Z≤+z)-P(Z≤-z)
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