What is Normal Distribution (Z)

Normal Distribution

Normal distribution is a continuous probability distribution. It is also called Gaussian distribution.

The normal distribution density function f(z) is called the Bell Curve because it has the shape that resembles a bell.

Standard normal distribution table is used to find the area under the f(z) function in order to find the probability of a specified range of distribution.

Normal Distribution Function

Standard Normal Distribution Function

Standard Normal Distribution Table

Normal distribution function

When random variable X has normal distribution,

The probability density function and cumulative distribution function of the normal distribution:

Probability density function (pdf)

The probability density function is given by:

$f_{X}(x)=\frac{1}{\sigma\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}$

X is the random variable.

μ is the mean value.

σ is the standard deviation (std) value.

e = 2.7182818... constant.

π = 3.1415926... constant.

Cumulative distribution function

The cumulative distribution function is given by:

$F_{X}(x)=\frac{1}{\sigma\sqrt{2\pi}}\int_{-\infty}^{x}e^{-\frac{(y-\mu)^2}{2\sigma^2}}dy$

X is the random variable.

μ is the mean value.

σ is the standard deviation (std) value.

e = 2.7182818... constant.

π = 3.1415926... constant.

Standard normal distribution function

When

Then the probability density function and cumulative distribution function of the standard normal distribution:

Probability density function

Cumulative distribution function

Standard normal distribution table

z Φ( z ) φ( z )

0.00 0.5000 0.3989

0.01 0.5040 0.3989

0.02 0.5080 0.3989

0.03 0.5120 0.3988

0.04 0.5160 0.3986

0.05 0.5199 0.3984

0.06 0.5239 0.3982

0.07 0.5279 0.3980

0.08 0.5319 0.3977

0.09 0.5359 0.3973

0.10 0.5398 0.3970

0.11 0.5438 0.3965

0.12 0.5478 0.3961

0.13 0.5517 0.3956

0.14 0.5557 0.3951

0.15 0.5596 0.3945

0.16 0.5636 0.3939

0.17 0.5675 0.3932

0.18 0.5714 0.3925

0.19 0.5753 0.3918

0.20 0.5793 0.3910

0.21 0.5832 0.3902

0.22 0.5871 0.3894

0.23 0.5910 0.3885

0.24 0.5948 0.3876

0.25 0.5987 0.3867

0.26 0.6026 0.3857

0.27 0.6064 0.3847

0.28 0.6103 0.3836

0.29 0.6141 0.3825

0.30 0.6179 0.3814

0.31 0.6217 0.3802

0.32 0.6255 0.3790

0.33 0.6293 0.3778

0.34 0.6331 0.3765

0.35 0.6368 0.3752

0.36 0.6406 0.3739

0.37 0.6443 0.3725

0.38 0.6480 0.3712

0.39 0.6517 0.3697

0.40 0.6554 0.3683

0.41 0.6591 0.3668

0.42 0.6628 0.3653

0.43 0.6664 0.3637

0.44 0.6700 0.3621

0.45 0.6736 0.3605

0.46 0.6772 0.3589

0.47 0.6808 0.3572

0.48 0.6844 0.3555

0.49 0.6879 0.3538

0.50 0.6915 0.3521

0.51 0.6950 0.3503

0.52 0.6985 0.3485

0.53 0.7019 0.3467

0.54 0.7054 0.3448

0.55 0.7088 0.3429

0.56 0.7123 0.3410

0.57 0.7157 0.3391

0.58 0.7190 0.3372

0.59 0.7224 0.3352

0.60 0.7257 0.3332

0.61 0.7291 0.3312

0.62 0.7324 0.3292

0.63 0.7357 0.3271

0.64 0.7389 0.3251

0.65 0.7422 0.3230

0.66 0.7454 0.3209

0.67 0.7486 0.3187

0.68 0.7517 0.3166

0.69 0.7549 0.3144

0.70 0.7580 0.3123

0.71 0.7611 0.3101

0.72 0.7642 0.3079

0.73 0.7673 0.3056

0.74 0.7704 0.3034

0.75 0.7734 0.3011

0.76 0.7764 0.2989

0.77 0.7794 0.2966

0.78 0.7823 0.2943

0.79 0.7852 0.2920

0.80 0.7881 0.2897

0.81 0.7910 0.2874

0.82 0.7939 0.2850

0.83 0.7967 0.2827

0.84 0.7995 0.2803

0.85 0.8023 0.2780

0.86 0.8051 0.2756

0.87 0.8078 0.2732

0.88 0.8106 0.2709

0.89 0.8133 0.2685

0.90 0.8159 0.2661

0.91 0.8186 0.2637

0.92 0.8212 0.2613

0.93 0.8238 0.2589

0.94 0.8264 0.2565

0.95 0.8289 0.2541

0.96 0.8315 0.2516

0.97 0.8340 0.2492

0.98 0.8365 0.2468

0.99 0.8389 0.2444

1.00 0.8413 0.2420

1.01 0.8438 0.2396

1.02 0.8461 0.2371

1.03 0.8485 0.2347

1.04 0.8508 0.2323

1.05 0.8531 0.2299

1.06 0.8554 0.2275

1.07 0.8577 0.2251

1.08 0.8599 0.2227

1.09 0.8621 0.2203

1.10 0.8643 0.2179

1.11 0.8665 0.2155

1.12 0.8686 0.2131

1.13 0.8708 0.2107

1.14 0.8729 0.2083

1.15 0.8749 0.2059

1.16 0.8770 0.2036

1.17 0.8790 0.2012

1.18 0.8810 0.1989

1.19 0.8830 0.1965

1.20 0.8849 0.1942

1.21 0.8869 0.1919

1.22 0.8888 0.1895

1.23 0.8907 0.1872

1.24 0.8925 0.1849

1.25 0.8944 0.1826

1.26 0.8962 0.1804

1.27 0.8980 0.1781

1.28 0.8997 0.1758

1.29 0.9015 0.1736

1.30 0.9032 0.1714

1.31 0.9049 0.1691

1.32 0.9066 0.1669

1.33 0.9082 0.1647

1.34 0.9099 0.1626

1.35 0.9115 0.1604

1.36 0.9131 0.1582

1.37 0.9147 0.1561

1.38 0.9162 0.1539

1.39 0.9177 0.1518

1.40 0.9192 0.1497

1.41 0.9207 0.1476

1.42 0.9222 0.1456

1.43 0.9236 0.1435

1.44 0.9251 0.1415

1.45 0.9265 0.1394

1.46 0.9279 0.1374

1.47 0.9292 0.1354

1.48 0.9306 0.1334

1.49 0.9319 0.1315

1.50 0.9332 0.1295

1.51 0.9345 0.1276

1.52 0.9357 0.1257

1.53 0.9370 0.1238

1.54 0.9382 0.1219

1.55 0.9394 0.1200

1.56 0.9406 0.1182

1.57 0.9418 0.1163

1.58 0.9429 0.1145

1.59 0.9441 0.1127

1.60 0.9452 0.1109

1.61 0.9463 0.1092

1.62 0.9474 0.1074

1.63 0.9484 0.1057

1.64 0.9495 0.1040

1.65 0.9505 0.1023

1.66 0.9515 0.1006

1.67 0.9525 0.0989

1.68 0.9535 0.0973

1.69 0.9545 0.0957

1.70 0.9554 0.0940

1.71 0.9564 0.0925

1.72 0.9573 0.0909

1.73 0.9582 0.0893

1.74 0.9591 0.0878

1.75 0.9599 0.0863

1.76 0.9608 0.0848

1.77 0.9616 0.0833

1.78 0.9625 0.0818

1.79 0.9633 0.0804

1.80 0.9641 0.0790

1.81 0.9649 0.0775

1.82 0.9656 0.0761

1.83 0.9664 0.0748

1.84 0.9671 0.0734

1.85 0.9678 0.0721

1.86 0.9686 0.0707

1.87 0.9693 0.0694

1.88 0.9699 0.0681

1.89 0.9706 0.0669

1.90 0.9713 0.0656

1.91 0.9719 0.0644

1.92 0.9726 0.0632

1.93 0.9732 0.0620

1.94 0.9738 0.0608

1.95 0.9744 0.0596

1.96 0.9750 0.0584

1.97 0.9756 0.0573

1.98 0.9761 0.0562

1.99 0.9767 0.0551

2.00 0.9772 0.0540

2.01 0.9778 0.0529

2.02 0.9783 0.0519

2.03 0.9788 0.0508

2.04 0.9793 0.0498

2.05 0.9798 0.0488

2.06 0.9803 0.0478

2.07 0.9808 0.0468

2.08 0.9812 0.0459

2.09 0.9817 0.0449

2.10 0.9821 0.0440

2.11 0.9826 0.0431

2.12 0.9830 0.0422

2.13 0.9834 0.0413

2.14 0.9838 0.0404

2.15 0.9842 0.0396

2.16 0.9846 0.0387

2.17 0.9850 0.0379

2.18 0.9854 0.0371

2.19 0.9857 0.0363

2.20 0.9861 0.0355

2.21 0.9864 0.0347

2.22 0.9868 0.0339

2.23 0.9871 0.0332

2.24 0.9875 0.0325

2.25 0.9878 0.0317

2.26 0.9881 0.0310

2.27 0.9884 0.0303

2.28 0.9887 0.0297

2.29 0.9890 0.0290

2.30 0.9893 0.0283

2.31 0.9896 0.0277

2.32 0.9898 0.0270

2.33 0.9901 0.0264

2.34 0.9904 0.0258

2.35 0.9906 0.0252

2.36 0.9909 0.0246

2.37 0.9911 0.0241

2.38 0.9913 0.0235

2.39 0.9916 0.0229

2.40 0.9918 0.0224

2.41 0.9920 0.0219

2.42 0.9922 0.0213

2.43 0.9925 0.0208

2.44 0.9927 0.0203

2.45 0.9929 0.0198

2.46 0.9931 0.0194

2.47 0.9932 0.0189

2.48 0.9934 0.0184

2.49 0.9936 0.0180

2.50 0.9938 0.0175

2.51 0.9940 0.0171

2.52 0.9941 0.0167

2.53 0.9943 0.0163

2.54 0.9945 0.0158

2.55 0.9946 0.0154

2.56 0.9948 0.0151

2.57 0.9949 0.0147

2.58 0.9951 0.0143

2.59 0.9952 0.0139

2.60 0.9953 0.0136

2.61 0.9955 0.0132

2.62 0.9956 0.0129

2.63 0.9957 0.0126

2.64 0.9959 0.0122

2.65 0.9960 0.0119

2.66 0.9961 0.0116

2.67 0.9962 0.0113

2.68 0.9963 0.0110

2.69 0.9964 0.0107

2.70 0.9965 0.0104

2.71 0.9966 0.0101

2.72 0.9967 0.0099

2.73 0.9968 0.0096

2.74 0.9969 0.0093

2.75 0.9970 0.0091

2.76 0.9971 0.0088

2.77 0.9972 0.0086

2.78 0.9973 0.0084

2.79 0.9974 0.0081

2.80 0.9974 0.0079

2.81 0.9975 0.0077

2.82 0.9976 0.0075

2.83 0.9977 0.0073

2.84 0.9977 0.0071

2.85 0.9978 0.0069

2.86 0.9979 0.0067

2.87 0.9979 0.0065

2.88 0.9980 0.0063

2.89 0.9981 0.0061

2.90 0.9981 0.0060

2.91 0.9982 0.0058

2.92 0.9982 0.0056

2.93 0.9983 0.0055

2.94 0.9984 0.0053

2.95 0.9984 0.0051

2.96 0.9985 0.0050

2.97 0.9985 0.0048

2.98 0.9986 0.0047

2.99 0.9986 0.0046

3.00 0.9987 0.0044

3.01 0.9987 0.0043

3.02 0.9987 0.0042

3.03 0.9988 0.0040

3.04 0.9988 0.0039

3.05 0.9989 0.0038

3.06 0.9989 0.0037

3.07 0.9989 0.0036

3.08 0.9990 0.0035

3.09 0.9990 0.0034

3.10 0.9990 0.0033

3.11 0.9991 0.0032

3.12 0.9991 0.0031

3.13 0.9991 0.0030

3.14 0.9992 0.0029

3.15 0.9992 0.0028

3.16 0.9992 0.0027

3.17 0.9992 0.0026

3.18 0.9993 0.0025

3.19 0.9993 0.0025

3.20 0.9993 0.0024

3.21 0.9993 0.0023

3.22 0.9994 0.0022

3.23 0.9994 0.0022

3.24 0.9994 0.0021

3.25 0.9994 0.0020

3.26 0.9994 0.0020

3.27 0.9995 0.0019

3.28 0.9995 0.0018

3.29 0.9995 0.0018

3.30 0.9995 0.0017

3.31 0.9995 0.0017

3.32 0.9995 0.0016

3.33 0.9996 0.0016

3.34 0.9996 0.0015

3.35 0.9996 0.0015

3.36 0.9996 0.0014

3.37 0.9996 0.0014

3.38 0.9996 0.0013

3.39 0.9997 0.0013

3.40 0.9997 0.0012

3.41 0.9997 0.0012

3.42 0.9997 0.0012

3.43 0.9997 0.0011

3.44 0.9997 0.0011

3.45 0.9997 0.0010

3.46 0.9997 0.0010

3.47 0.9998 0.0010

3.48 0.9998 0.0009

3.49 0.9998 0.0009

3.50 0.9998 0.0009

3.51 0.9998 0.0008

3.52 0.9998 0.0008

3.53 0.9998 0.0008

3.54 0.9998 0.0008

3.55 0.9998 0.0007

3.56 0.9998 0.0007

3.57 0.9998 0.0007

3.58 0.9998 0.0007

3.59 0.9998 0.0006

3.60 0.9998 0.0006

3.61 0.9998 0.0006

3.62 0.9999 0.0006

3.63 0.9999 0.0005

3.64 0.9999 0.0005

3.65 0.9999 0.0005

3.66 0.9999 0.0005

3.67 0.9999 0.0005

3.68 0.9999 0.0005

3.69 0.9999 0.0004

3.70 0.9999 0.0004

3.71 0.9999 0.0004

3.72 0.9999 0.0004

3.73 0.9999 0.0004

3.74 0.9999 0.0004

3.75 0.9999 0.0004

3.76 0.9999 0.0003

3.77 0.9999 0.0003

3.78 0.9999 0.0003

3.79 0.9999 0.0003

3.80 0.9999 0.0003

3.81 0.9999 0.0003

3.82 0.9999 0.0003

3.83 0.9999 0.0003

3.84 0.9999 0.0003

3.85 0.9999 0.0002

3.86 0.9999 0.0002

3.87 0.9999 0.0002

3.88 0.9999 0.0002

3.89 0.9999 0.0002

3.90 1.0000 0.0002

3.91 1.0000 0.0002

3.92 1.0000 0.0002

3.93 1.0000 0.0002

3.94 1.0000 0.0002

3.95 1.0000 0.0002

3.96 1.0000 0.0002

3.97 1.0000 0.0002

3.98 1.0000 0.0001

3.99 1.0000 0.0001

Standard Normal Distribution Graph (above zero)

See also

Probability distribution

Statistical symbols

Normal Distribution - Wikipedia

z	Φ( z )	φ( z )
0.00	0.5000	0.3989
0.01	0.5040	0.3989
0.02	0.5080	0.3989
0.03	0.5120	0.3988
0.04	0.5160	0.3986
0.05	0.5199	0.3984
0.06	0.5239	0.3982
0.07	0.5279	0.3980
0.08	0.5319	0.3977
0.09	0.5359	0.3973
0.10	0.5398	0.3970
0.11	0.5438	0.3965
0.12	0.5478	0.3961
0.13	0.5517	0.3956
0.14	0.5557	0.3951
0.15	0.5596	0.3945
0.16	0.5636	0.3939
0.17	0.5675	0.3932
0.18	0.5714	0.3925
0.19	0.5753	0.3918
0.20	0.5793	0.3910
0.21	0.5832	0.3902
0.22	0.5871	0.3894
0.23	0.5910	0.3885
0.24	0.5948	0.3876
0.25	0.5987	0.3867
0.26	0.6026	0.3857
0.27	0.6064	0.3847
0.28	0.6103	0.3836
0.29	0.6141	0.3825
0.30	0.6179	0.3814
0.31	0.6217	0.3802
0.32	0.6255	0.3790
0.33	0.6293	0.3778
0.34	0.6331	0.3765
0.35	0.6368	0.3752
0.36	0.6406	0.3739
0.37	0.6443	0.3725
0.38	0.6480	0.3712
0.39	0.6517	0.3697
0.40	0.6554	0.3683
0.41	0.6591	0.3668
0.42	0.6628	0.3653
0.43	0.6664	0.3637
0.44	0.6700	0.3621
0.45	0.6736	0.3605
0.46	0.6772	0.3589
0.47	0.6808	0.3572
0.48	0.6844	0.3555
0.49	0.6879	0.3538
0.50	0.6915	0.3521
0.51	0.6950	0.3503
0.52	0.6985	0.3485
0.53	0.7019	0.3467
0.54	0.7054	0.3448
0.55	0.7088	0.3429
0.56	0.7123	0.3410
0.57	0.7157	0.3391
0.58	0.7190	0.3372
0.59	0.7224	0.3352
0.60	0.7257	0.3332
0.61	0.7291	0.3312
0.62	0.7324	0.3292
0.63	0.7357	0.3271
0.64	0.7389	0.3251
0.65	0.7422	0.3230
0.66	0.7454	0.3209
0.67	0.7486	0.3187
0.68	0.7517	0.3166
0.69	0.7549	0.3144
0.70	0.7580	0.3123
0.71	0.7611	0.3101
0.72	0.7642	0.3079
0.73	0.7673	0.3056
0.74	0.7704	0.3034
0.75	0.7734	0.3011
0.76	0.7764	0.2989
0.77	0.7794	0.2966
0.78	0.7823	0.2943
0.79	0.7852	0.2920
0.80	0.7881	0.2897
0.81	0.7910	0.2874
0.82	0.7939	0.2850
0.83	0.7967	0.2827
0.84	0.7995	0.2803
0.85	0.8023	0.2780
0.86	0.8051	0.2756
0.87	0.8078	0.2732
0.88	0.8106	0.2709
0.89	0.8133	0.2685
0.90	0.8159	0.2661
0.91	0.8186	0.2637
0.92	0.8212	0.2613
0.93	0.8238	0.2589
0.94	0.8264	0.2565
0.95	0.8289	0.2541
0.96	0.8315	0.2516
0.97	0.8340	0.2492
0.98	0.8365	0.2468
0.99	0.8389	0.2444
1.00	0.8413	0.2420
1.01	0.8438	0.2396
1.02	0.8461	0.2371
1.03	0.8485	0.2347
1.04	0.8508	0.2323
1.05	0.8531	0.2299
1.06	0.8554	0.2275
1.07	0.8577	0.2251
1.08	0.8599	0.2227
1.09	0.8621	0.2203
1.10	0.8643	0.2179
1.11	0.8665	0.2155
1.12	0.8686	0.2131
1.13	0.8708	0.2107
1.14	0.8729	0.2083
1.15	0.8749	0.2059
1.16	0.8770	0.2036
1.17	0.8790	0.2012
1.18	0.8810	0.1989
1.19	0.8830	0.1965
1.20	0.8849	0.1942
1.21	0.8869	0.1919
1.22	0.8888	0.1895
1.23	0.8907	0.1872
1.24	0.8925	0.1849
1.25	0.8944	0.1826
1.26	0.8962	0.1804
1.27	0.8980	0.1781
1.28	0.8997	0.1758
1.29	0.9015	0.1736
1.30	0.9032	0.1714
1.31	0.9049	0.1691
1.32	0.9066	0.1669
1.33	0.9082	0.1647
1.34	0.9099	0.1626
1.35	0.9115	0.1604
1.36	0.9131	0.1582
1.37	0.9147	0.1561
1.38	0.9162	0.1539
1.39	0.9177	0.1518
1.40	0.9192	0.1497
1.41	0.9207	0.1476
1.42	0.9222	0.1456
1.43	0.9236	0.1435
1.44	0.9251	0.1415
1.45	0.9265	0.1394
1.46	0.9279	0.1374
1.47	0.9292	0.1354
1.48	0.9306	0.1334
1.49	0.9319	0.1315
1.50	0.9332	0.1295
1.51	0.9345	0.1276
1.52	0.9357	0.1257
1.53	0.9370	0.1238
1.54	0.9382	0.1219
1.55	0.9394	0.1200
1.56	0.9406	0.1182
1.57	0.9418	0.1163
1.58	0.9429	0.1145
1.59	0.9441	0.1127
1.60	0.9452	0.1109
1.61	0.9463	0.1092
1.62	0.9474	0.1074
1.63	0.9484	0.1057
1.64	0.9495	0.1040
1.65	0.9505	0.1023
1.66	0.9515	0.1006
1.67	0.9525	0.0989
1.68	0.9535	0.0973
1.69	0.9545	0.0957
1.70	0.9554	0.0940
1.71	0.9564	0.0925
1.72	0.9573	0.0909
1.73	0.9582	0.0893
1.74	0.9591	0.0878
1.75	0.9599	0.0863
1.76	0.9608	0.0848
1.77	0.9616	0.0833
1.78	0.9625	0.0818
1.79	0.9633	0.0804
1.80	0.9641	0.0790
1.81	0.9649	0.0775
1.82	0.9656	0.0761
1.83	0.9664	0.0748
1.84	0.9671	0.0734
1.85	0.9678	0.0721
1.86	0.9686	0.0707
1.87	0.9693	0.0694
1.88	0.9699	0.0681
1.89	0.9706	0.0669
1.90	0.9713	0.0656
1.91	0.9719	0.0644
1.92	0.9726	0.0632
1.93	0.9732	0.0620
1.94	0.9738	0.0608
1.95	0.9744	0.0596
1.96	0.9750	0.0584
1.97	0.9756	0.0573
1.98	0.9761	0.0562
1.99	0.9767	0.0551
2.00	0.9772	0.0540
2.01	0.9778	0.0529
2.02	0.9783	0.0519
2.03	0.9788	0.0508
2.04	0.9793	0.0498
2.05	0.9798	0.0488
2.06	0.9803	0.0478
2.07	0.9808	0.0468
2.08	0.9812	0.0459
2.09	0.9817	0.0449
2.10	0.9821	0.0440
2.11	0.9826	0.0431
2.12	0.9830	0.0422
2.13	0.9834	0.0413
2.14	0.9838	0.0404
2.15	0.9842	0.0396
2.16	0.9846	0.0387
2.17	0.9850	0.0379
2.18	0.9854	0.0371
2.19	0.9857	0.0363
2.20	0.9861	0.0355
2.21	0.9864	0.0347
2.22	0.9868	0.0339
2.23	0.9871	0.0332
2.24	0.9875	0.0325
2.25	0.9878	0.0317
2.26	0.9881	0.0310
2.27	0.9884	0.0303
2.28	0.9887	0.0297
2.29	0.9890	0.0290
2.30	0.9893	0.0283
2.31	0.9896	0.0277
2.32	0.9898	0.0270
2.33	0.9901	0.0264
2.34	0.9904	0.0258
2.35	0.9906	0.0252
2.36	0.9909	0.0246
2.37	0.9911	0.0241
2.38	0.9913	0.0235
2.39	0.9916	0.0229
2.40	0.9918	0.0224
2.41	0.9920	0.0219
2.42	0.9922	0.0213
2.43	0.9925	0.0208
2.44	0.9927	0.0203
2.45	0.9929	0.0198
2.46	0.9931	0.0194
2.47	0.9932	0.0189
2.48	0.9934	0.0184
2.49	0.9936	0.0180
2.50	0.9938	0.0175
2.51	0.9940	0.0171
2.52	0.9941	0.0167
2.53	0.9943	0.0163
2.54	0.9945	0.0158
2.55	0.9946	0.0154
2.56	0.9948	0.0151
2.57	0.9949	0.0147
2.58	0.9951	0.0143
2.59	0.9952	0.0139
2.60	0.9953	0.0136
2.61	0.9955	0.0132
2.62	0.9956	0.0129
2.63	0.9957	0.0126
2.64	0.9959	0.0122
2.65	0.9960	0.0119
2.66	0.9961	0.0116
2.67	0.9962	0.0113
2.68	0.9963	0.0110
2.69	0.9964	0.0107
2.70	0.9965	0.0104
2.71	0.9966	0.0101
2.72	0.9967	0.0099
2.73	0.9968	0.0096
2.74	0.9969	0.0093
2.75	0.9970	0.0091
2.76	0.9971	0.0088
2.77	0.9972	0.0086
2.78	0.9973	0.0084
2.79	0.9974	0.0081
2.80	0.9974	0.0079
2.81	0.9975	0.0077
2.82	0.9976	0.0075
2.83	0.9977	0.0073
2.84	0.9977	0.0071
2.85	0.9978	0.0069
2.86	0.9979	0.0067
2.87	0.9979	0.0065
2.88	0.9980	0.0063
2.89	0.9981	0.0061
2.90	0.9981	0.0060
2.91	0.9982	0.0058
2.92	0.9982	0.0056
2.93	0.9983	0.0055
2.94	0.9984	0.0053
2.95	0.9984	0.0051
2.96	0.9985	0.0050
2.97	0.9985	0.0048
2.98	0.9986	0.0047
2.99	0.9986	0.0046
3.00	0.9987	0.0044
3.01	0.9987	0.0043
3.02	0.9987	0.0042
3.03	0.9988	0.0040
3.04	0.9988	0.0039
3.05	0.9989	0.0038
3.06	0.9989	0.0037
3.07	0.9989	0.0036
3.08	0.9990	0.0035
3.09	0.9990	0.0034
3.10	0.9990	0.0033
3.11	0.9991	0.0032
3.12	0.9991	0.0031
3.13	0.9991	0.0030
3.14	0.9992	0.0029
3.15	0.9992	0.0028
3.16	0.9992	0.0027
3.17	0.9992	0.0026
3.18	0.9993	0.0025
3.19	0.9993	0.0025
3.20	0.9993	0.0024
3.21	0.9993	0.0023
3.22	0.9994	0.0022
3.23	0.9994	0.0022
3.24	0.9994	0.0021
3.25	0.9994	0.0020
3.26	0.9994	0.0020
3.27	0.9995	0.0019
3.28	0.9995	0.0018
3.29	0.9995	0.0018
3.30	0.9995	0.0017
3.31	0.9995	0.0017
3.32	0.9995	0.0016
3.33	0.9996	0.0016
3.34	0.9996	0.0015
3.35	0.9996	0.0015
3.36	0.9996	0.0014
3.37	0.9996	0.0014
3.38	0.9996	0.0013
3.39	0.9997	0.0013
3.40	0.9997	0.0012
3.41	0.9997	0.0012
3.42	0.9997	0.0012
3.43	0.9997	0.0011
3.44	0.9997	0.0011
3.45	0.9997	0.0010
3.46	0.9997	0.0010
3.47	0.9998	0.0010
3.48	0.9998	0.0009
3.49	0.9998	0.0009
3.50	0.9998	0.0009
3.51	0.9998	0.0008
3.52	0.9998	0.0008
3.53	0.9998	0.0008
3.54	0.9998	0.0008
3.55	0.9998	0.0007
3.56	0.9998	0.0007
3.57	0.9998	0.0007
3.58	0.9998	0.0007
3.59	0.9998	0.0006
3.60	0.9998	0.0006
3.61	0.9998	0.0006
3.62	0.9999	0.0006
3.63	0.9999	0.0005
3.64	0.9999	0.0005
3.65	0.9999	0.0005
3.66	0.9999	0.0005
3.67	0.9999	0.0005
3.68	0.9999	0.0005
3.69	0.9999	0.0004
3.70	0.9999	0.0004
3.71	0.9999	0.0004
3.72	0.9999	0.0004
3.73	0.9999	0.0004
3.74	0.9999	0.0004
3.75	0.9999	0.0004
3.76	0.9999	0.0003
3.77	0.9999	0.0003
3.78	0.9999	0.0003
3.79	0.9999	0.0003
3.80	0.9999	0.0003
3.81	0.9999	0.0003
3.82	0.9999	0.0003
3.83	0.9999	0.0003
3.84	0.9999	0.0003
3.85	0.9999	0.0002
3.86	0.9999	0.0002
3.87	0.9999	0.0002
3.88	0.9999	0.0002
3.89	0.9999	0.0002
3.90	1.0000	0.0002
3.91	1.0000	0.0002
3.92	1.0000	0.0002
3.93	1.0000	0.0002
3.94	1.0000	0.0002
3.95	1.0000	0.0002
3.96	1.0000	0.0002
3.97	1.0000	0.0002
3.98	1.0000	0.0001
3.99	1.0000	0.0001

Normal Distribution

Normal distribution function

Probability density function (pdf)

Cumulative distribution function

Standard normal distribution function

Probability density function

Cumulative distribution function

Standard normal distribution table

Standard Normal Distribution Graph (above zero)

See also

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