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Таблицы |
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Таблицы |
1. Функция Лапласа Φ0(x) = |
1 √2π | x ∫ 0 |
e-x | 2 | /2dx |
| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 |
.0000 .0398 .0792 .1179 .1554 .1914 .2257 .2580 .2881 .3159 .3413 .3643 .3849 .4032 .4192 .4331 .4452 .4554 .4640 .4712 .4772 .4821 .4861 .4892 .4918 .4937 .4953 .4965 .4974 .4981 |
.0039 .0438 .0831 .1217 .1591 .1949 .2290 .2611 .2910 .3185 .3437 .3665 .3868 .4049 .4207 .4344 .4463 .4563 .4648 .4719 .4777 .4825 .4864 .4895 .4920 .4939 .4954 .4966 .4975 .4981 |
.0079 .0477 .0870 .1255 .1627 .1984 .2323 .2642 .2938 .3212 .3461 .3686 .3887 .4065 .4222 .4357 .4473 .4572 .4656 .4725 .4783 .4830 .4867 .4893 .4922 .4941 .4956 .4967 .4976 .4982 |
.0119 .0517 .0909 .1293 .1664 .2019 .2356 .2673 .2967 .3228 .3485 .3707 .3906 .4082 .4236 .4369 .4484 .4581 .4663 .4732 .4788 .4834 .4871 .4901 .4924 .4943 .4957 .4968 .4976 .4983 |
.0159 .0556 .0948 .1330 .1700 .2054 .2389 .2703 .2995 .3263 .3508 .3728 .3925 .4098 .4250 .4382 .4495 .4590 .4671 .4738 .4793 .4838 .4874 .4903 .4926 .4944 .4958 .4969 .4977 .4983 |
.0199 .0596 .0987 .1368 .1736 .2088 .2421 .2733 .3023 .3289 .3531 .3749 .3943 .4114 .4264 .4394 .4505 .4599 .4678 .4744 .4798 .4842 .4877 .4906 .4928 .4946 .4959 .4970 .4978 .4984 |
.0239 .0635 .1025 .1405 .1772 .2122 .2453 .2763 .3051 .3314 .3554 .3769 .3961 .4130 .4278 .4406 .4515 .4608 .4685 .4750 .4803 .4846 .4880 .4908 .4930 .4947 .4960 .4971 .4978 .4984 |
.0279 .0674 .1064 .1443 .1808 .2156 .2485 .2793 .3078 .3339 .3576 .3790 .3979 .4146 .4292 .4417 .4525 .4616 .4692 .4755 .4807 .4850 .4884 .4911 .4932 .4949 .4962 .4972 .4979 .4985 |
.0318 .0714 .1102 .1480 .1843 .2190 .2517 .2823 .3105 .3364 .3599 .3810 .3997 .4162 .4305 .4429 .4535 .4624 .4699 .4761 .4812 .4853 .4887 .4913 .4934 .4950 .4963 .4972 .4980 .4985 |
.0358 .0753 .1140 .1517 .1879 .2224 .2549 .2852 .3132 .3389 .3621 .3829 .4014 .4177 .4318 .4440 .4544 .4632 .4706 .4767 .4816 .4857 .4889 .4915 .4936 .4952 .4964 .4973 .4980 .4986 |
| 3.0 | .49865 | |||||||||
| 3.5 | .499767 | |||||||||
| 4.0 | .4999683 | |||||||||
| 4.5 | .4999966 | |||||||||
| 5.0 | .49999971 | |||||||||
| β n | 0.05 | 0.10 | 0.20 | 0.30 | 0.50 | 0.70 | 0.80 | 0.90 | 0.95 |
| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 |
0.00 0.10 0.35 0.71 1.15 1.65 2.17 2.73 3.32 3.94 4.58 5.23 5.89 6.57 7.26 7.96 8.67 9.39 10.11 10.85 11.59 12.34 13.09 13.85 14.61 15.38 16.15 16.93 17.71 18.49 |
0.02 0.21 0.58 1.06 1.61 2.20 2.83 3.49 4.17 4.86 5.58 6.30 7.04 7.79 8.55 9.31 10.08 10.86 11.65 12.44 13.24 14.04 14.85 15.66 16.47 17.29 18.11 18.94 19.77 20.60 |
0.06 0.45 1.01 1.65 2.34 3.07 3.82 4.59 5.38 6.18 6.99 7.81 8.63 9.47 10.31 11.15 12.00 12.86 13.72 14.58 15.44 16.31 17.19 18.06 18.94 19.82 20.70 21.60 22.50 23.40 |
0.15 0.71 1.42 2.20 3.00 3.83 4.67 5.53 6.39 7.27 8.15 9.03 9.93 10.82 11.72 12.62 13.53 14.44 15.35 16.27 17.18 18.10 19.02 19.94 20.90 21.80 22.70 23.60 24.60 25.50 |
0.46 1.39 2.37 3.36 4.35 5.35 6.35 7.34 8.34 9.34 10.34 11.34 12.34 13.34 14.34 15.34 16.34 17.34 18.34 19.34 20.30 21.30 22.30 23.30 24.30 25.30 26.30 27.30 28.30 29.30 |
1.07 2.41 3.66 4.88 6.06 7.23 8.38 9.52 10.66 11.78 12.90 14.01 15.12 16.22 17.32 18.42 19.51 20.60 21.70 22.80 23.90 24.90 26.00 27.10 28.20 29.20 30.30 31.40 32.50 33.50 |
1.64 3.22 4.64 5.99 7.29 8.56 9.80 11.03 12.24 13.44 14.63 15.81 16.98 18.15 19.31 20.47 21.62 22.76 23.90 25.04 26.17 27.30 28.43 29.55 30.78 31.80 32.91 34.03 35.14 36.25 |
2.71 4.60 6.25 7.78 9.24 10.64 12.02 13.36 14.68 15.99 17.28 18.55 19.81 21.06 22.31 23.54 24.78 25.59 27.20 28.41 29.61 30.81 32.01 33.20 34.38 35.56 36.74 37.92 39.09 40.26 |
3.84 5.99 7.82 9.49 11.07 12.59 14.07 15.51 16.92 18.31 19.68 21.03 22.36 23.69 25.00 26.29 27.60 28.87 30.14 31.41 32.67 33.92 35.17 36.42 37.65 38.89 40.11 41.34 42.56 43.77 |
| β n | 0.2 | 0.6 | 0.8 | 0.9 | 0.95 | 0.98 | 0.99 | 0.999 |
| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 60 120 ∞ |
0.325 0.289 0.277 0.271 0.267 0.265 0.263 0.262 0.261 0.260 0.260 0.259 0.259 0.258 0.258 0.258 0.257 0.257 0.257 0.257 0.257 0.256 0.256 0.256 0.256 0.256 0.256 0.256 0.256 0.256 0.255 0.254 0.254 0.253 |
1.376 1.061 0.978 0.941 0.920 0.906 0.896 0.889 0.883 0.879 0.876 0.873 0.870 0.868 0.866 0.865 0.863 0.862 0.861 0.860 0.859 0.858 0.858 0.857 0.856 0.856 0.855 0.855 0.854 0.854 0.851 0.848 0.845 0.842 |
3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 1.337 1.333 1.330 1.328 1.325 1.323 1.321 1.319 1.318 1.316 1.315 1.314 1.313 1.311 1.310 1.303 1.296 1.289 1.282 |
6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.746 1.740 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.684 1.671 1.658 1.645 |
12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2.086 2.080 2.074 2.069 2.064 2.060 2.056 2.052 2.048 2.045 2.042 2.021 2.000 1.980 1.960 |
31.821 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 2.583 2.567 2.552 2.539 2.528 2.518 2.508 2.500 2.492 2.485 2.479 2.473 2.467 2.462 2.457 2.423 2.390 2.358 2.326 |
63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.756 2.750 2.704 2.660 2.617 2.576 |
636.619 31.598 12.941 8.610 6.859 5.959 5.405 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.767 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.551 3.460 3.373 3.291 |
