n = 50, p = 0.01

n = 50, p = 0.1

k

精确值

近似值

相对误差(%)

k

精确值

近似值

相对误差(%)

0

0.605006067

0

100

0

0.005153775

0

100

1

0.910564687

0.52271066

42.59489004

1

0.03378586

0.020462157

39.43573775

2

0.986182729

0.744852201

24.4711777

2

0.111728756

0.069438541

37.85078876

3

0.998403827

0.761165147

23.76179589

3

0.250293906

0.16367823

34.60558709

4

0.999854311

0.761355003

23.85340595

4

0.431198407

0.309464881

28.23144138

5

0.999989103

0.76135533

23.86363738

5

0.616123008

0.490788937

20.34237788

6

0.999999315

0.76135533

23.86441484

6

0.770226842

0.672112993

12.73830556

7

0.999999963

0.76135533

23.8644642

7

0.877854916

0.817899644

6.829747272

8

0.999999998

0.76135533

23.86446688

8

0.942132794

0.912139334

3.183570375

9

1

0.76135533

23.86446701

9

0.975462064

0.961115718

1.470723152

10

1

0.76135533

23.86446701

10

0.990645398

0.981577875

0.915314792

11

1

0.76135533

23.86446701

11

0.996780079

0.98845007

0.83569177

12

1

0.76135533

23.86446701

12

0.99899538

0.990305223

0.869889617

13

1

0.76135533

23.86446701

13

0.99971488

0.990707717

0.90097317

14

1

0.76135533

23.86446701

14

0.999926161

0.990777892

0.914894484

15

1

0.76135533

23.86446701

15

0.999982503

0.990787723

0.919494092

16

1

0.76135533

23.86446701

16

0.999996197

0.99078883

0.920740274

17

1

0.76135533

23.86446701

17

0.99999924

0.99078893

0.921031784

18

1

0.76135533

23.86446701

18

0.99999986

0.990788937

0.921092477

n = 50, p = 0.5

n = 300, p = 0.01

k

精确值

近似值

相对误差(%)

k

精确值

近似值

相对误差(%)

0

8.88E−16

0

100

0

0.049040894

0

100

1

4.53E−14

4.91E−12

10733.67801

1

0.197649664

0.082057668

58.48327455

2

1.13E−12

3.80E−11

3251.164138

2

0.422063918

0.240008659

43.13452318

3

1.85E−11

2.44E−10

1214.970751

3

0.647233775

0.459138624

29.06139299

4

2.23E−10

1.43E−09

539.6450308

4

0.816111167

0.678268589

16.89017189

5

2.10E−09

7.71E−09

266.1820025

5

0.917096437

0.836219579

8.818795289

6

1.62E−08

3.85E−08

137.3876346

6

0.967249054

0.918277248

5.062998585

7

1.05E−07

1.78E−07

69.56462718

7

0.988525921

0.948996158

3.998859615

8

5.82E−07

7.61E−07

30.8052282

8

0.996397288

0.9572805

3.925822366

9

2.81E−06

3.01E−06

7.332600314

9

0.998976905

0.958889366

4.01285941

10

1.19E−05

1.10E−05

7.421363735

10

0.999735156

0.959114277

4.063164012

11

4.51E−05

3.75E−05

16.85055103

11

0.999937078

0.959136899

4.08027463

12

1.53E−04

0.000118017

22.83027301

12

0.999986199

0.959138536

4.084822704

13

0.000468111

0.000344257

26.45833731

13

0.999997191

0.959138621

4.085868503

14

0.001301086

0.000931423

28.4118542

14

0.999999467

0.959138624

4.086086499

15

0.003300224

0.002338867

29.13003779

15

0.999999905

0.959138624

4.086128535

16

0.007673339

0.005454749

28.91296421

16

0.999999984

0.959138624

4.0861361

17

0.016419569

0.011825808

27.97735139

17

0.999999998

0.959138624

4.086137377

18

0.032454324

0.02385744

26.48917766

18

1

0.959138624

4.08613758

19

0.059460226

0.044843011

24.58318158

19

1

0.959138624

4.08613758

20

0.101319376

0.078649604

22.37456744

20

1

0.959138624

4.08613758

21

0.16111816

0.128949518

19.96587008

21

1

0.959138624

4.08613758

22

0.239943831

0.198071955

17.45069924

22

1

0.959138624

4.08613758

23

0.335905517

0.285803822

14.91541278

23

1

0.959138624

4.08613758

24

0.443862414

0.388648705

12.43937458

24

1

0.959138624

4.08613758

25

0.556137586

0.5

10.09419031

25

1

0.959138624

4.08613758

26

0.664094483

0.611351295

7.942121167

26

1

0.959138624

4.08613758

27

0.760056169

0.714196178

6.033763489

27

1

0.959138624

4.08613758

28

0.83888184

0.801928045

4.40512509

28

1

0.959138624

4.08613758

29

0.898680624

0.871050482

3.074522958

29

1

0.959138624

4.08613758

30

0.940539774

0.921350396

2.040251543

30

1

0.959138624

4.08613758

31

0.967545676

0.955156989

1.280424031

31

1

0.959138624

4.08613758

32

0.983580431

0.97614256

0.756203672

32

1

0.959138624

4.08613758

33

0.992326661

0.988174192

0.418457911

33

1

0.959138624

4.08613758

34

0.996699776

0.994545251

0.216165916

34

1

0.959138624

4.08613758

35

0.998698914

0.997661133

0.103913377

35

1

0.959138624

4.08613758

36

0.999531889

0.999068577

0.046352868

36

1

0.959138624

4.08613758

37

0.999847068

0.999655743

0.019135421

37

1

0.959138624

4.08613758

38

0.999954893

0.999881983

0.007291305

38

1

0.959138624

4.08613758

39

0.999988069

0.999962493

0.002557624

39

1

0.959138624

4.08613758

40

0.999997193

0.999988955

0.000823822

40

1

0.959138624

4.08613758

41

0.999999418

0.999996987

0.00024311

41

1

0.959138624

4.08613758

42

0.999999895

0.999999239

6.56E−05

42

1

0.959138624

4.08613758

43

0.999999984

0.999999822

1.62E−05

43

1

0.959138624

4.08613758

44

0.999999998

0.999999961

3.64E−06

44

1

0.959138624

4.08613758

45

1

0.999999992

7.49E−07

45

1

0.959138624

4.08613758

46

1

0.999999999

1.41E−07

46

1

0.959138624

4.08613758

47

1

1

2.44E−08

47

1

0.959138624

4.08613758

48

1

1

3.95E−09

48

1

0.959138624

4.08613758

49

1

1

6.44E−10

49

1

0.959138624

4.08613758

50

1

1

1.54E−10

50

1

0.959138624

4.08613758