Appendix 2. Normal Distribution

The table below shows the upper tail probabilities from the cumulative normal distribution.

x00.10.20.3
00.5000000.4601720.4207400.382089
0.010.4960110.4562050.4168340.378281
0.020.4920220.4522420.4129360.374484
0.030.4880330.4482830.4090460.370700
0.040.4840470.4443300.4051650.366928
0.050.4800610.4403820.4012940.363169
0.060.4760780.4364410.3974320.359424
0.070.4720970.4325050.3935800.355691
0.080.4681190.4285760.3897390.351973
0.090.4641440.4246550.3859080.348268
x0.40.50.60.7
00.3445780.3085380.2742530.241964
0.010.3409030.3050260.2709310.238852
0.020.3372430.3015320.2676290.235762
0.030.3335980.2980560.2643470.232695
0.040.3299690.2945980.2610860.229650
0.050.3263550.2911600.2578460.226627
0.060.3227580.2877400.2546270.223627
0.070.3191780.2843390.2514290.220650
0.080.3156140.2809570.2482520.217695
0.090.3120670.2775950.2450970.214764
x0.80.91.01.1
00.2118550.1840600.1586550.135666
0.010.2089700.1814110.1562480.133500
0.020.2061080.1787860.1538640.131357
0.030.2032690.1761860.1515050.129238
0.040.2004540.1736090.1491700.127143
0.050.1976620.1710560.1468590.125072
0.060.1948940.1685280.1445720.123024
0.070.1921500.1660230.1423100.121001
0.080.1894300.1635430.1400710.119000
0.090.1867330.1610870.1378570.117023
x1.21.31.41.5
00.1150700.0968010.0807570.066807
0.010.1131400.0950980.0792700.065522
0.020.1112330.0934180.0778040.064256
0.030.1093490.0917590.0763590.063008
0.040.1074880.0901230.0749340.061780
0.050.1056500.0885080.0735290.060571
0.060.1038350.0869150.0721450.059380
0.070.1020420.0853440.0707810.058208
0.080.1002730.0837930.0694370.057053
0.090.0985250.0822640.0681120.055917
x1.61.71.81.9
00.0547990.0445650.0359300.028716
0.010.0536990.0436330.0351480.028067
0.020.0526160.0427160.0343790.027429
0.030.0515510.0418150.0336250.026803
0.040.0505030.0409290.0328840.026190
0.050.0494710.0400590.0321570.025588
0.060.0484570.0392040.0314430.024998
0.070.0474600.0383640.0307420.024419
0.080.0464790.0375380.0300540.023852
0.090.0455140.0367270.0293790.023295
x2.02.12.22.3
00.0227500.0178640.0139030.010724
0.010.0222160.0174290.0135530.010444
0.020.0216920.0170030.0132090.010170
0.030.0211780.0165860.0128740.009903
0.040.0206750.0161770.0125450.009642
0.050.0201820.0157780.0122240.009387
0.060.0196990.0153860.0119110.009137
0.070.0192260.0150030.0116040.008894
0.080.0187630.0146290.0113040.008656
0.090.0183090.0142620.0110110.008424
x2.42.52.62.7
00.0081980.0062100.0046610.003467
0.010.0079760.0060370.0045270.003364
0.020.0077600.0058680.0043970.003264
0.030.0075490.0057030.0042690.003167
0.040.0073440.0055430.0041450.003072
0.050.0071430.0053860.0040250.002980
0.060.0069470.0052340.0039070.002890
0.070.0067560.0050850.0037930.002803
0.080.0065690.0049400.0036810.002718
0.090.0063870.0047990.0035730.002635
x2.82.93.03.1
00.0025550.0018660.0013500.000968
0.010.0024770.0018070.0013060.000936
0.020.0024010.0017500.0012640.000904
0.030.0023270.0016950.0012230.000874
0.040.0022560.0016410.0011830.000845
0.050.0021860.0015890.0011440.000816
0.060.0021180.0015380.0011070.000789
0.070.0020520.0014890.0010700.000762
0.080.0019880.0014410.0010350.000736
0.090.0019260.0013950.0010010.000711
x3.23.33.43.5
00.0006870.0004830.0003370.000233
0.010.0006640.0004670.0003250.000224
0.020.0006410.0004500.0003130.000216
0.030.0006190.0004340.0003020.000208
0.040.0005980.0004190.0002910.000200
0.050.0005770.0004040.0002800.000193
0.060.0005570.0003900.0002700.000185
0.070.0005380.0003760.0002600.000179
0.080.0005190.0003620.0002510.000172
0.090.0005010.0003500.0002420.000165
x3.63.73.83.9
00.0001590.0001080.0000720.000048
0.010.0001530.0001040.0000700.000046
0.020.0001470.0001000.0000670.000044
0.030.0001420.0000960.0000640.000042
0.040.0001360.0000920.0000620.000041
0.050.0001310.0000880.0000590.000039
0.060.0001260.0000850.0000570.000037
0.070.0001210.0000820.0000540.000036
0.080.0001170.0000780.0000520.000034
0.090.0001120.0000750.0000500.000033