Poisson Cumulative Distribution Tables

The table below gives the probability of that a Poisson random variable X with mean = λ is less than or equal to x.

λ =

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

1.2

1.4

1.6

1.8

x= 0

0.9048

0.8187

0.7408

0.6703

0.6065

0.5488

0.4966

0.4493

0.4066

0.3679

0.3012

0.2466

0.2019

0.1653

1

0.9953

0.9825

0.9631

0.9384

0.9098

0.8781

0.8442

0.8088

0.7725

0.7358

0.6626

0.5918

0.5249

0.4628

2

0.9998

0.9989

0.9964

0.9921

0.9856

0.9769

0.9659

0.9526

0.9371

0.9197

0.8795

0.8335

0.7834

0.7306

3

1.0000

0.9999

0.9997

0.9992

0.9982

0.9966

0.9942

0.9909

0.9865

0.9810

0.9662

0.9463

0.9212

0.8913

4

1.0000

1.0000

1.0000

0.9999

0.9998

0.9996

0.9992

0.9986

0.9977

0.9963

0.9923

0.9857

0.9763

0.9636

5

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

0.9998

0.9997

0.9994

0.9985

0.9968

0.9940

0.9896

6

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

0.9997

0.9994

0.9987

0.9974

7

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

0.9997

0.9994

8

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

9

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

λ =

2.0

2.2

2.4

2.6

2.8

3.0

3.2

3.4

3.6

3.8

4.0

4.5

5.0

5.5

x = 0

0.1353

0.1108

0.0907

0.0743

0.0608

0.0498

0.0408

0.0334

0.0273

0.0224

0.0183

0.0111

0.0067

0.0041

1

0.4060

0.3546

0.3084

0.2674

0.2311

0.1991

0.1712

0.1468

0.1257

0.1074

0.0916

0.0611

0.0404

0.0266

2

0.6767

0.6227

0.5697

0.5184

0.4695

0.4232

0.3799

0.3397

0.3027

0.2689

0.2381

0.1736

0.1247

0.0884

3

0.8571

0.8194

0.7787

0.7360

0.6919

0.6472

0.6025

0.5584

0.5152

0.4735

0.4335

0.3423

0.2650

0.2017

4

0.9473

0.9275

0.9041

0.8774

0.8477

0.8153

0.7806

0.7442

0.7064

0.6678

0.6288

0.5321

0.4405

0.3575

5

0.9834

0.9751

0.9643

0.9510

0.9349

0.9161

0.8946

0.8705

0.8441

0.8156

0.7851

0.7029

0.6160

0.5289

6

0.9955

0.9925

0.9884

0.9828

0.9756

0.9665

0.9554

0.9421

0.9267

0.9091

0.8893

0.8311

0.7622

0.6860

7

0.9989

0.9980

0.9967

0.9947

0.9919

0.9881

0.9832

0.9769

0.9692

0.9599

0.9489

0.9134

0.8666

0.8095

8

0.9998

0.9995

0.9991

0.9985

0.9976

0.9962

0.9943

0.9917

0.9883

0.9840

0.9786

0.9597

0.9319

0.8944

9

1.0000

0.9999

0.9998

0.9996

0.9993

0.9989

0.9982

0.9973

0.9960

0.9942

0.9919

0.9829

0.9682

0.9462

10

1.0000

1.0000

1.0000

0.9999

0.9998

0.9997

0.9995

0.9992

0.9987

0.9981

0.9972

0.9933

0.9863

0.9747

11

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

0.9999

0.9998

0.9996

0.9994

0.9991

0.9976

0.9945

0.9890

12

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

0.9999

0.9998

0.9997

0.9992

0.9980

0.9955

13

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

0.9997

0.9993

0.9983

14

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

0.9998

0.9994

15

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

0.9998

16

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

17

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

λ =

6.0

6.5

7.0

7.5

8.0

8.5

9.0

9.5

10.0

11.0

10.0

12.0

14.0

15.0

x = 0

0.0025

0.0015

0.0009

0.0006

0.0003

0.0002

0.0001

0.0001

0.0000

0.0000

0.0000

0.0000

0.0000

0.0000

1

0.0174

0.0113

0.0073

0.0047

0.0030

0.0019

0.0012

0.0008

0.0005

0.0002

0.0005

0.0001

0.0000

0.0000

2

0.0620

0.0430

0.0296

0.0203

0.0138

0.0093

0.0062

0.0042

0.0028

0.0012

0.0028

0.0005

0.0001

0.0000

3

0.1512

0.1118

0.0818

0.0591

0.0424

0.0301

0.0212

0.0149

0.0103

0.0049

0.0103

0.0023

0.0005

0.0002

4

0.2851

0.2237

0.1730

0.1321

0.0996

0.0744

0.0550

0.0403

0.0293

0.0151

0.0293

0.0076

0.0018

0.0009

5

0.4457

0.3690

0.3007

0.2414

0.1912

0.1496

0.1157

0.0885

0.0671

0.0375

0.0671

0.0203

0.0055

0.0028

6

0.6063

0.5265

0.4497

0.3782

0.3134

0.2562

0.2068

0.1649

0.1301

0.0786

0.1301

0.0458

0.0142

0.0076

7

0.7440

0.6728

0.5987

0.5246

0.4530

0.3856

0.3239

0.2687

0.2202

0.1432

0.2202

0.0895

0.0316

0.0180

8

0.8472

0.7916

0.7291

0.6620

0.5925

0.5231

0.4557

0.3918

0.3328

0.2320

0.3328

0.1550

0.0621

0.0374

9

0.9161

0.8774

0.8305

0.7764

0.7166

0.6530

0.5874

0.5218

0.4579

0.3405

0.4579

0.2424

0.1094

0.0699

10

0.9574

0.9332

0.9015

0.8622

0.8159

0.7634

0.7060

0.6453

0.5830

0.4599

0.5830

0.3472

0.1757

0.1185

11

0.9799

0.9661

0.9467

0.9208

0.8881

0.8487

0.8030

0.7520

0.6968

0.5793

0.6968

0.4616

0.2600

0.1848

12

0.9912

0.9840

0.9730

0.9573

0.9362

0.9091

0.8758

0.8364

0.7916

0.6887

0.7916

0.5760

0.3585

0.2676

13

0.9964

0.9929

0.9872

0.9784

0.9658

0.9486

0.9261

0.8981

0.8645

0.7813

0.8645

0.6815

0.4644

0.3632

14

0.9986

0.9970

0.9943

0.9897

0.9827

0.9726

0.9585

0.9400

0.9165

0.8540

0.9165

0.7720

0.5704

0.4657

15

0.9995

0.9988

0.9976

0.9954

0.9918

0.9862

0.9780

0.9665

0.9513

0.9074

0.9513

0.8444

0.6694

0.5681

16

0.9998

0.9996

0.9990

0.9980

0.9963

0.9934

0.9889

0.9823

0.9730

0.9441

0.9730

0.8987

0.7559

0.6641

17

0.9999

0.9998

0.9996

0.9992

0.9984

0.9970

0.9947

0.9911

0.9857

0.9678

0.9857

0.9370

0.8272

0.7489

18

1.0000

0.9999

0.9999

0.9997

0.9993

0.9987

0.9976

0.9957

0.9928

0.9823

0.9928

0.9626

0.8826

0.8195

19

1.0000

1.0000

1.0000

0.9999

0.9997

0.9995

0.9989

0.9980

0.9965

0.9907

0.9965

0.9787

0.9235

0.8752

20

1.0000

1.0000

1.0000

1.0000

0.9999

0.9998

0.9996

0.9991

0.9984

0.9953

0.9984

0.9884

0.9521

0.9170

21

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

0.9998

0.9996

0.9993

0.9977

0.9993

0.9939

0.9712

0.9469

22

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

0.9999

0.9997

0.9990

0.9997

0.9970

0.9833

0.9673

23

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

0.9999

0.9995

0.9999

0.9985

0.9907

0.9805

24

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9998

1.0000

0.9993

0.9950

0.9888

25

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

1.0000

0.9997

0.9974

0.9938

26

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

0.9987

0.9967

27

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

0.9994

0.9983

28

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9997

0.9991

29

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

0.9996

30

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

0.9998

31

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

32

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

 

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