Standard Normal Distribution

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Standard Normal Distribution: Areas to the right of z = .00, .01, .02, . . . , 3.99.
∞
1
2
/2
Pr (Z > z) =
−t
e
dt
√
2π
z
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
z
0.0
.5000
.4960
.4920
.4880
.4840
.4801
.4761
.4721
.4681
.4641
0.1
.4602
.4562
.4522
.4483
.4443
.4404
.4364
.4325
.4286
.4247
0.2
.4207
.4168
.4129
.4090
.4052
.4013
.3974
.3936
.3897
.3859
0.3
.3821
.3783
.3745
.3707
.3669
.3632
.3594
.3557
.3520
.3483
0.4
.3446
.3409
.3372
.3336
.3300
.3264
.3228
.3192
.3156
.3121
0.5
.3085
.3050
.3015
.2981
.2946
.2912
.2877
.2843
.2810
.2776
0.6
.2743
.2709
.2676
.2643
.2611
.2578
.2546
.2514
.2483
.2451
0.7
.2420
.2389
.2358
.2327
.2296
.2266
.2236
.2206
.2177
.2148
0.8
.2119
.2090
.2061
.2033
.2005
.1977
.1949
.1922
.1894
.1867
0.9
.1841
.1814
.1788
.1762
.1736
.1711
.1685
.1660
.1635
.1611
1.0
.1587
.1562
.1539
.1515
.1492
.1469
.1446
.1423
.1401
.1379
1.1
.1357
.1335
.1314
.1292
.1271
.1251
.1230
.1210
.1190
.1170
1.2
.1151
.1131
.1112
.1093
.1075
.1056
.1038
.1020
.1003
.0985
1.3
.0968
.0951
.0934
.0918
.0901
.0885
.0869
.0853
.0838
.0823
1.4
.0808
.0793
.0778
.0764
.0749
.0735
.0721
.0708
.0694
.0681
1.5
.0668
.0655
.0643
.0630
.0618
.0606
.0594
.0582
.0571
.0559
1.6
.0548
.0537
.0526
.0516
.0505
.0495
.0485
.0475
.0465
.0455
1.7
.0446
.0436
.0427
.0418
.0409
.0401
.0392
.0384
.0375
.0367
1.8
.0359
.0351
.0344
.0336
.0329
.0322
.0314
.0307
.0301
.0294
1.9
.0287
.0281
.0274
.0268
.0262
.0256
.0250
.0244
.0239
.0233
2.0
.0228
.0222
.0217
.0212
.0207
.0202
.0197
.0192
.0188
.0183
2.1
.0179
.0174
.0170
.0166
.0162
.0158
.0154
.0150
.0146
.0143
2.2
.0139
.0136
.0132
.0129
.0125
.0122
.0119
.0116
.0113
.0110
2.3
.0107
.0104
.0102
.0099
.0096
.0094
.0091
.0089
.0087
.0084
2.4
.0082
.0080
.0078
.0075
.0073
.0071
.0069
.0068
.0066
.0064
2.5
.0062
.0060
.0059
.0057
.0055
.0054
.0052
.0051
.0049
.0048
2.6
.0047
.0045
.0044
.0043
.0041
.0040
.0039
.0038
.0037
.0036
2.7
.0035
.0034
.0033
.0032
.0031
.0030
.0029
.0028
.0027
.0026
2.8
.0026
.0025
.0024
.0023
.0023
.0022
.0021
.0021
.0020
.0019
2.9
.0019
.0018
.0018
.0017
.0016
.0016
.0015
.0015
.0014
.0014
3.0
.0013
.0013
.0013
.0012
.0012
.0011
.0011
.0011
.0010
.0010
3.1
.0010
.0009
.0009
.0009
.0008
.0008
.0008
.0008
.0007
.0007
3.2
.0007
.0007
.0006
.0006
.0006
.0006
.0006
.0005
.0005
.0005
3.3
.0005
.0005
.0005
.0004
.0004
.0004
.0004
.0004
.0004
.0003
3.4
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0002
3.5
.0002
.0002
.0002
.0002
.0002
.0002
.0002
.0002
.0002
.0002
3.6
.0002
.0002
.0001
.0001
.0001
.0001
.0001
.0001
.0001
.0001
3.7
.0001
.0001
.0001
.0001
.0001
.0001
.0001
.0001
.0001
.0001
3.8
.0001
.0001
.0001
.0001
.0001
.0001
.0001
.0001
.0001
.0001
3.9
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
Table reprinted with permission of Len Stefanski.
1

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