При решении задач по теории вероятности возникает потребность использовать стандартную таблицу значений функции Лапласа, для нахождения значения функции Лапласа по известному значению аргумента или, наоборот, по известному значению функции Лапласа требуется найти значение аргумента.
Функция Лапласа:
Таблица значений функции Лапласа:
|
t
|
F(t)
|
|
0.00
|
0.00000
|
|
0.01
|
0.00798
|
|
0.02
|
0.01596
|
|
0.03
|
0.02393
|
|
0.04
|
0.03191
|
|
0.05
|
0.03988
|
|
0.06
|
0.04784
|
|
0.07
|
0.05581
|
|
0.08
|
0.06376
|
|
0.09
|
0.07171
|
|
0.10
|
0.07966
|
|
0.11
|
0.08759
|
|
0.12
|
0.09552
|
|
0.13
|
0.10348
|
|
0.14
|
0.11134
|
|
0.15
|
0.11924
|
|
0.16
|
0.12712
|
|
0.17
|
0.13499
|
|
0.18
|
0.14285
|
|
0.19
|
0.15069
|
|
0.20
|
0.15852
|
|
0.21
|
0.16633
|
|
0.22
|
0.17413
|
|
0.23
|
0.18191
|
|
0.24
|
0.18967
|
|
0.25
|
0.19741
|
|
0.26
|
0.20514
|
|
0.27
|
0.21284
|
|
0.28
|
0.22052
|
|
0.29
|
0.22818
|
|
0.30
|
0.23582
|
|
0.31
|
0.24344
|
|
0.32
|
0.25103
|
|
0.33
|
0.25860
|
|
0.34
|
0.26614
|
|
0.35
|
0.27366
|
|
0.36
|
0.28115
|
|
0.37
|
0.28862
|
|
0.38
|
0.29605
|
|
0.39
|
0.30346
|
|
0.40
|
0.31084
|
|
0.41
|
0.31819
|
|
0.42
|
0.32552
|
|
0.43
|
0.33280
|
|
0.44
|
0.34006
|
|
0.45
|
0.34729
|
|
0.46
|
0.35448
|
|
0.47
|
0.36164
|
|
0.48
|
0.36877
|
|
0.49
|
0.37587
|
|
0.50
|
0.38292
|
|
0.51
|
0.38995
|
|
0.52
|
0.39694
|
|
0.53
|
0.40389
|
|
0.54
|
0.41080
|
|
0.55
|
0.41768
|
|
0.56
|
0.42452
|
|
0.57
|
0.43132
|
|
0.58
|
0.43809
|
|
0.59
|
0.44481
|
|
0.60
|
0.45149
|
|
0.61
|
0.45814
|
|
0.62
|
0.46474
|
|
0.63
|
0.47131
|
|
0.64
|
0.47783
|
|
0.65
|
0.48431
|
|
0.66
|
0.49075
|
|
0.67
|
0.49714
|
|
0.68
|
0.50350
|
|
0.69
|
0.50981
|
|
0.70
|
0.51607
|
|
0.71
|
0.52230
|
|
0.72
|
0.52848
|
|
0.73
|
0.53461
|
|
0.74
|
0.54070
|
|
0.75
|
0.54675
|
|
0.76
|
0.55275
|
|
0.77
|
0.55870
|
|
0.78
|
0.56461
|
|
0.79
|
0.57047
|
|
0.80
|
0.57629
|
|
0.81
|
0.58206
|
|
0.82
|
0.58778
|
|
0.83
|
0.59346
|
|
0.84
|
0.59909
|
|
0.85
|
0.60468
|
|
0.86
|
0.61021
|
|
0.87
|
0.61570
|
|
0.88
|
0.62114
|
|
0.89
|
0.62653
|
|
0.90
|
0.63188
|
|
0.91
|
0.63718
|
|
0.92
|
0.64243
|
|
0.93
|
0.64763
|
|
0.94
|
0.65278
|
|
0.95
|
0.65789
|
|
0.96
|
0.66294
|
|
0.97
|
0.66795
|
|
0.98
|
0.67291
|
|
0.99
|
0.67783
|
|
|
t
|
F(t)
|
|
1.00
|
0.68269
|
|
1.01
|
0.68750
|
|
1.02
|
0.69227
|
|
1.03
|
0.69699
|
|
1.04
|
0.70166
|
|
1.05
|
0.70628
|
|
1.06
|
0.71086
|
|
1.07
|
0.71538
|
|
1.08
|
0.71986
|
|
1.09
|
0.72429
|
|
1.10
|
0.72867
|
|
1.11
|
0.73300
|
|
1.12
|
0.73729
|
|
1.13
|
0.74152
|
|
1.14
|
0.74571
|
|
1.15
|
0.74986
|
|
1.16
|
0.75395
|
|
1.17
|
0.75800
|
|
1.18
|
0.76200
|
|
1.19
|
0.76595
|
|
1.20
|
0.76986
|
|
1.21
|
0.77372
|
|
1.22
|
0.77754
|
|
1.23
|
0.78130
|
|
1.24
|
0.78502
|
|
1.25
|
0.78870
|
|
1.26
|
0.79233
|
|
1.27
|
0.79592
|
|
1.28
|
0.79945
|
|
1.29
|
0.80295
|
|
1.30
|
0.80640
|
|
1.31
|
0.80980
|
|
1.32
|
0.81316
|
|
1.33
|
0.81648
|
|
1.34
|
0.81975
|
|
1.35
|
0.82298
|
|
1.36
|
0.82617
|
|
1.37
|
0.82931
|
|
1.38
|
0.83241
|
|
1.39
|
0.83547
|
|
1.40
|
0.83849
|
|
1.41
|
0.84146
|
|
1.42
|
0.84439
|
|
1.43
|
0.84728
|
|
1.44
|
0.85013
|
|
1.45
|
0.85294
|
|
1.46
|
0.85571
|
|
1.47
|
0.85844
|
|
1.48
|
0.86113
|
|
1.49
|
0.86378
|
|
1.50
|
0.86639
|
|
1.51
|
0.86696
|
|
1.52
|
0.87149
|
|
1.53
|
0.87398
|
|
1.54
|
0.87644
|
|
1.55
|
0.87886
|
|
1.56
|
0.88124
|
|
1.57
|
0.88358
|
|
1.58
|
0.88589
|
|
1.59
|
0.88817
|
|
1.60
|
0.89040
|
|
1.61
|
0.89260
|
|
1.62
|
0.89477
|
|
1.63
|
0.89690
|
|
1.64
|
0.89899
|
|
1.65
|
0.90106
|
|
1.66
|
0.90309
|
|
1.67
|
0.90508
|
|
1.68
|
0.90704
|
|
1.69
|
0.90897
|
|
1.70
|
0.91087
|
|
1.71
|
0.91273
|
|
1.72
|
0.91457
|
|
1.73
|
0.91637
|
|
1.74
|
0.91814
|
|
1.75
|
0.91988
|
|
1.76
|
0.92159
|
|
1.77
|
0.92327
|
|
1.78
|
0.92492
|
|
1.79
|
0.92655
|
|
1.80
|
0.92814
|
|
1.81
|
0.92970
|
|
1.82
|
0.93124
|
|
1.83
|
0.93275
|
|
1.84
|
0.93423
|
|
1.85
|
0.93569
|
|
1.86
|
0.93711
|
|
1.87
|
0.93852
|
|
1.88
|
0.93989
|
|
1.89
|
0.94124
|
|
1.90
|
0.94257
|
|
1.91
|
0.94387
|
|
1.92
|
0.94514
|
|
1.93
|
0.94639
|
|
1.94
|
0.94762
|
|
1.95
|
0.94882
|
|
1.96
|
0.95000
|
|
1.97
|
0.95116
|
|
1.98
|
0.95230
|
|
1.99
|
0.95341
|
|
|
t
|
F(t)
|
|
2.00
|
0.95450
|
|
2.01
|
0.95557
|
|
2.02
|
0.95662
|
|
2.03
|
0.95764
|
|
2.04
|
0.95865
|
|
2.05
|
0.95964
|
|
2.06
|
0.96060
|
|
2.07
|
0.96155
|
|
2.08
|
0.96247
|
|
2.09
|
0.96338
|
|
2.10
|
0.96427
|
|
2.11
|
0.96514
|
|
2.12
|
0.96599
|
|
2.13
|
0.96683
|
|
2.14
|
0.96765
|
|
2.15
|
0.96844
|
|
2.16
|
0.96923
|
|
2.17
|
0.96999
|
|
2.18
|
0.97074
|
|
2.19
|
0.97148
|
|
2.20
|
0.97219
|
|
2.21
|
0.97289
|
|
2.22
|
0.97358
|
|
2.23
|
0.97425
|
|
2.24
|
0.97491
|
|
2.25
|
0.97555
|
|
2.26
|
0.97618
|
|
2.27
|
0.97679
|
|
2.28
|
0.97739
|
|
2.29
|
0.97798
|
|
2.30
|
0.97855
|
|
2.31
|
0.97911
|
|
2.32
|
0.97966
|
|
2.33
|
0.98019
|
|
2.34
|
0.98072
|
|
2.35
|
0.98123
|
|
2.36
|
0.98172
|
|
2.37
|
0.98221
|
|
2.38
|
0.98269
|
|
2.39
|
0.98315
|
|
2.40
|
0.98360
|
|
2.41
|
0.98405
|
|
2.42
|
0.98448
|
|
2.43
|
0.98490
|
|
2.44
|
0.98531
|
|
2.45
|
0.98571
|
|
2.46
|
0.98611
|
|
2.47
|
0.98649
|
|
2.48
|
0.98686
|
|
2.49
|
0.98723
|
|
2.50
|
0.98758
|
|
2.51
|
0.98793
|
|
2.52
|
0.98826
|
|
2.53
|
0.98859
|
|
2.54
|
0.98891
|
|
2.55
|
0.98923
|
|
2.56
|
0.98953
|
|
2.57
|
0.98983
|
|
2.58
|
0.99012
|
|
2.59
|
0.99040
|
|
2.60
|
0.99068
|
|
2.61
|
0.99095
|
|
2.62
|
0.99121
|
|
2.63
|
0.99146
|
|
2.64
|
0.99171
|
|
2.65
|
0.99195
|
|
2.66
|
0.99219
|
|
2.67
|
0.99241
|
|
2.68
|
0.99263
|
|
2.69
|
0.99285
|
|
2.70
|
0.99307
|
|
2.71
|
0.99327
|
|
2.72
|
0.99347
|
|
2.73
|
0.99367
|
|
2.74
|
0.99386
|
|
2.75
|
0.99404
|
|
2.76
|
0.99422
|
|
2.77
|
0.99439
|
|
2.78
|
0.99456
|
|
2.79
|
0.99473
|
|
2.80
|
0.99489
|
|
2.81
|
0.99505
|
|
2.82
|
0.99520
|
|
2.83
|
0.99535
|
|
2.84
|
0.99549
|
|
2.85
|
0.99563
|
|
2.86
|
0.99576
|
|
2.87
|
0.99590
|
|
2.88
|
0.99602
|
|
2.89
|
0.99615
|
|
2.90
|
0.99627
|
|
2.91
|
0.99639
|
|
2.92
|
0.99650
|
|
2.93
|
0.99661
|
|
2.94
|
0.99672
|
|
2.95
|
0.99682
|
|
2.96
|
0.99692
|
|
2.97
|
0.99702
|
|
2.98
|
0.99712
|
|
2.99
|
0.99721
|
|
|
t
|
F(t)
|
|
3.00
|
0.99730
|
|
3.01
|
0.99739
|
|
3.02
|
0.99747
|
|
3.03
|
0.99755
|
|
3.04
|
0.99763
|
|
3.05
|
0.99771
|
|
3.06
|
0.99779
|
|
3.07
|
0.99786
|
|
3.08
|
0.99793
|
|
3.09
|
0.99800
|
|
3.10
|
0.99806
|
|
3.11
|
0.99813
|
|
3.12
|
0.99819
|
|
3.13
|
0.99825
|
|
3.14
|
0.99831
|
|
3.15
|
0.99837
|
|
3.16
|
0.99842
|
|
3.17
|
0.99848
|
|
3.18
|
0.99853
|
|
3.19
|
0.99858
|
|
3.20
|
0.99863
|
|
3.21
|
0.99867
|
|
3.22
|
0.99872
|
|
3.23
|
0.99876
|
|
3.24
|
0.99880
|
|
3.25
|
0.99855
|
|
3.26
|
0.99889
|
|
3.27
|
0.99892
|
|
3.28
|
0.99896
|
|
3.29
|
0.99900
|
|
3.30
|
0.99903
|
|
3.31
|
0.99907
|
|
3.32
|
0.99910
|
|
3.33
|
0.99913
|
|
3.34
|
0.99916
|
|
3.35
|
0.99919
|
|
3.36
|
0.99922
|
|
3.37
|
0.99925
|
|
3.38
|
0.99928
|
|
3.39
|
0.99930
|
|
3.40
|
0.99933
|
|
3.41
|
0.99935
|
|
3.42
|
0.99937
|
|
3.43
|
0.99940
|
|
3.44
|
0.99942
|
|
3.45
|
0.99944
|
|
3.46
|
0.99946
|
|
3.47
|
0.99948
|
|
3.48
|
0.99950
|
|
3.49
|
0.99952
|
|
3.50
|
0.99953
|
|
3.51
|
0.99955
|
|
3.52
|
0.99957
|
|
3.53
|
0.99958
|
|
3.54
|
0.99960
|
|
3.55
|
0.99961
|
|
3.56
|
0.99963
|
|
3.57
|
0.99964
|
|
3.58
|
0.99966
|
|
3.59
|
0.99967
|
|
3.60
|
0.99968
|
|
3.61
|
0.99969
|
|
3.62
|
0.99971
|
|
3.63
|
0.99972
|
|
3.64
|
0.99973
|
|
3.65
|
0.99974
|
|
3.66
|
0.99975
|
|
3.67
|
0.99976
|
|
3.68
|
0.99977
|
|
3.69
|
0.99978
|
|
3.70
|
0.99978
|
|
3.71
|
0.99979
|
|
3.72
|
0.99980
|
|
3.73
|
0.99981
|
|
3.74
|
0.99982
|
|
3.75
|
0.99982
|
|
3.76
|
0.99983
|
|
3.77
|
0.99984
|
|
3.78
|
0.99984
|
|
3.79
|
0.99985
|
|
3.80
|
0.99986
|
|
3.81
|
0.99986
|
|
3.82
|
0.99987
|
|
3.83
|
0.99987
|
|
3.84
|
0.99988
|
|
3.85
|
0.99988
|
|
3.86
|
0.99989
|
|
3.87
|
0.99989
|
|
3.88
|
0.99990
|
|
3.89
|
0.99990
|
|
3.90
|
0.99990
|
|
3.91
|
0.99991
|
|
3.92
|
0.99991
|
|
3.93
|
0.99992
|
|
3.94
|
0.99992
|
|
3.95
|
0.99992
|
|
3.96
|
0.99992
|
|
3.97
|
0.99993
|
|
3.98
|
0.99993
|
|
3.99
|
0.99993
|
|