Куммулятивные пуассоновские вероятности.
|
m= |
1,1 |
1,2 |
1,3 |
1,4 |
1,5 |
1,6 |
1,7 |
1,8 |
1,9 |
2,0 |
|
r=0 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
|
1 |
,6671 |
,6988 |
,7275 |
,7534 |
,7769 |
,7981 |
,8172 |
,8347 |
,8504 |
,8647 |
|
2 |
,3010 |
,3374 |
,3732 |
,4082 |
,4422 |
,4751 |
,5068 |
,5372 |
,5663 |
,5940 |
|
3 |
,0996 |
,1205 |
,1429 |
,1665 |
,1912 |
,2166 |
,2428 |
,2694 |
,2963 |
,3233 |
|
4 |
,0257 |
,0338 |
,0431 |
,0537 |
,0656 |
,0788 |
,0932 |
,1087 |
,1253 |
,1429 |
|
5 |
,0054 |
,0077 |
,0107 |
,0143 |
,0186 |
,0237 |
,0296 |
,0364 |
,0441 |
,0527 |
|
6 |
,0010 |
,0015 |
,0022 |
,0032 |
,0045 |
,0060 |
,0080 |
,0104 |
,0132 |
,0166 |
|
7 |
,0001 |
,0003 |
,0004 |
,0006 |
,0009 |
,0013 |
,0019 |
,0026 |
,0034 |
,0045 |
|
8 |
,0015 |
,0020 |
,0026 |
,0033 |
,0042 |
,0053 |
,0066 |
,0081 |
,0099 |
,0119 |
|
9 |
|
|
,0001 |
,0001 |
,0002 |
,0003 |
,0004 |
,0006 |
,0008 |
,0011 |
|
10 |
|
|
|
|
|
|
,0001 |
,0001 |
,0002 |
,0002 |
|
m= |
2,1 |
2,2 |
2,3 |
2,4 |
2,5 |
2,6 |
2,7 |
2,8 |
2,9 |
3,0 |
|
r=0 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
|
1 |
,8775 |
,8892 |
,8997 |
,9093 |
,9179 |
,9257 |
,9328 |
,9392 |
,9450 |
,9502 |
|
2 |
,6204 |
,6454 |
,6691 |
,6916 |
,7127 |
,7326 |
,7513 |
,7689 |
,7854 |
,8009 |
|
3 |
,3504 |
,3773 |
,4040 |
,4303 |
,4562 |
,4816 |
,5064 |
,5305 |
,5540 |
,5768 |
|
4 |
,1614 |
,1806 |
,2007 |
,2213 |
,2424 |
,2640 |
,2859 |
,3081 |
,3304 |
,3528 |
|
5 |
,0621 |
,0725 |
,0838 |
,0959 |
,1088 |
,1226 |
,1371 |
,1523 |
,1682 |
,1847 |
|
6 |
,0204 |
,0249 |
,0300 |
,0357 |
,0420 |
,0490 |
,0567 |
,0651 |
,0742 |
,0839 |
|
7 |
,0059 |
,0075 |
,0094 |
,0116 |
,0142 |
,0172 |
,0206 |
,0244 |
,0287 |
,0335 |
|
8 |
,0015 |
,0020 |
,0026 |
,0033 |
,0042 |
,0053 |
,0066 |
,0081 |
,0099 |
,0119 |
|
9 |
,0003 |
,0005 |
,0006 |
,0009 |
,0011 |
,0015 |
,0019 |
,0024 |
,0031 |
,0038 |
|
10 |
,0001 |
,0001 |
,0001 |
,0002 |
,0003 |
,0004 |
,0005 |
,0007 |
,0009 |
,0011 |
|
11 |
|
|
|
|
,0001 |
,0001 |
,0001 |
,0002 |
,0002 |
,0003 |
|
12 |
|
|
|
|
|
|
|
|
,0001 |
,0001 |
|
m= |
3,1 |
3,2 |
3,3 |
3,4 |
3,5 |
3,6 |
3,7 |
3,8 |
3,9 |
4,0 |
|
r=0 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
1,0000 |
|
1 |
,9550 |
,9592 |
,9631 |
,9666 |
,9698 |
,9727 |
,9753 |
,9776 |
,9798 |
,9817 |
|
2 |
,8153 |
,8288 |
,8414 |
,8532 |
,8641 |
,8743 |
,8838 |
,8926 |
,9008 |
,9084 |
|
3 |
,5988 |
,6201 |
,6406 |
,6603 |
,6792 |
,6973 |
,7146 |
,7311 |
,7469 |
,7619 |
|
4 |
,3752 |
,3975 |
,4197 |
,4416 |
,4634 |
,4848 |
,5058 |
,5265 |
,5468 |
,5665 |
|
5 |
,2018 |
,2194 |
,2374 |
,2558 |
,2746 |
,2936 |
,3128 |
,3322 |
,3516 |
,3712 |
|
6 |
,0943 |
,1054 |
,1171 |
,1295 |
,1424 |
,1559 |
,1699 |
,1844 |
,1994 |
,2149 |
|
7 |
,0388 |
,0446 |
,0510 |
Э,0579 |
,0653 |
,0733 |
,0818 |
,0909 |
,1005 |
,1107 |
|
8 |
,0142 |
,0168 |
,0198 |
,0231 |
,0267 |
,0308 |
,0352 |
,0401 |
,0454 |
,0511 |
|
9 |
,0047 |
,0057 |
,0069 |
,0083 |
,0099 |
,0117 |
,0137 |
,0160 |
,0185 |
,0214 |
|
10 |
,0014 |
,0018 |
,0022 |
,0027 |
,0033 |
,0040 |
,0048 |
,0058 |
,0069 |
,0081 |
|
11 |
,0004 |
,0005 |
,0006 |
,0008 |
,0010 |
,0013 |
,0016 |
,0019 |
,0023 |
,0028 |
|
12 |
,0001 |
,0001 |
,0002 |
,0002 |
,0003 |
,0004 |
,0005 |
,0006 |
,0007 |
,0009 |
|
13 |
|
|
|
,0001 |
,0001 |
,0001 |
,0001 |
,0002 |
,0002 |
,0003 |
|
14 |
|
|
|
|
|
|
|
|
,0001 |
,0001 |
Приложение Г
Значения функции
Лапласа
|
t |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
0,0 0,1 0,2 |
0,0000 0398 0793 |
0,0040 0438 0832 |
0,0080 0478 0871 |
0,0120 0517 0910 |
0,0160 0557 0948 |
0,0199 0596 0987 |
0,0239 0636 1026 |
0,0279 0675 1064 |
0,0319 0714 1108 |
0,0359 0753 1141 |
|
0,3 0,4 0,5 |
1179 1554 1915 |
1217 1591 1950 |
1255 1628 1985 |
1293 1664 2019 |
1331 1700 2054 |
1368 1736 2088 |
1406 1772 2123 |
1443 1808 2157 |
1480 1844 2190 |
1517 1879 2224 |
|
0,6 0,7 0,8 |
2257 2580 2881 |
2291 2611 2910 |
2324 2642 2989 |
2357 2673 2967 |
2389 2703 2995 |
2422 2734 3023 |
2454 2764 3051 |
2486 2794 3078 |
2517 2823 3106 |
2549 2852 3133 |
|
0,9 1,0 1,1 |
3159 3413 3643 |
3186 3438 3665 |
3212 3461 3686 |
3238 3485 3708 |
3264 3508 3729 |
3289 3531 3749 |
3315 3554 3770 |
3340 3577 3790 |
3365 3599 3810 |
3389 3621 3830 |
|
1,2 1,3 1,4 |
3849 4032 4192 |
3869 4049 4207 |
3888 4066 4222 |
3907 4082 4236 |
3925 4090 4251 |
3944 4115 4265 |
3962 4131 4279 |
3980 4147 4292 |
3997 4162 4306 |
4015 4177 4319 |
|
1,5 1,6 1,7 |
4332 4452 4554 |
4345 4463 4564 |
4357 4474 4573 |
4370 4484 4582 |
4382 4495 4591 |
4394 4506 4599 |
4406 4515 4608 |
4418 4525 4616 |
4429 4535 4625 |
4441 4545 4633 |
|
1,8 1,9 2,0 |
4641 4713 4772 |
4649 4719 4778 |
4656 4726 4783 |
4664 4732 4788 |
4671 4738 4793 |
4678 4744 4798 |
4686 4750 4803 |
4693 4756 4808 |
4699 4761 4813 |
4706 4767 4817 |
|
2,1 2,2 2,3 |
4821 4861 4893 |
4826 4864 4816 |
4830 4868 4898 |
4834 4871 4901 |
4838 4874 4904 |
4842 4878 4906 |
4846 4881 4909 |
4850 4884 4911 |
4854 4887 4913 |
4857 4890 4916 |
|
2,4 2,5 2,6 |
4918 4938 4953 |
4920 4940 4955 |
4922 4941 4956 |
4925 4943 4967 |
4927 4945 4959 |
4929 4946 4960 |
4931 4948 4961 |
4932 4949 4962 |
4934 4951 4963 |
4936 4952 4964 |
|
2,7 2,8 2,9 |
4965 4974 4981 |
4966 4975 4982 |
4967 4976 4982 |
4968 4977 4984 |
4969 4977 4984 |
4970 4978 4984 |
4971 4979 4985 |
4972 4979 4985 |
4973 4980 4986 |
4974 4981 4986 |
|
3,0 3,5 4,0 |
4986 4998 4999 |
|
|
|
|
|
|
|
|
|
Приложение Д
Значения функции
нормированного нормального распределения F(Z)
Значения
функции при
|
Z |
,00 |
,01 |
,02 |
,03 |
,04 |
,05 |
,06 |
,07 |
,08 |
,09 |
|
0,0 0,1 0,2 0,3 0,4 |
,500000 ,539828 ,579260 ,617912 ,655423 |
,503989 ,543795 ,583156 ,621720 ,629037 |
,507978 ,547756 ,587064 ,625516 ,665757 |
,511966 ,551717 ,590954 ,629300 ,666407 |
,515953 ,555670 ,594835 ,633072 ,670032 |
,519939 ,559618 ,598706 ,636831 ,673645 |
,523922 ,563559 ,602568 ,640577 ,677242 |
,527903 ,567495 ,606420 ,644309 ,680823 |
,531881 ,571424 ,610261 ,648027 ,684386 |
,535856 ,575345 ,614092 ,651732 ,687933 |
|
0,5 0,6 0,7 0,8 0,9 |
,691463 ,725747 ,758036 ,788144 815940 |
,694974 ,729069 ,761148 ,791030 ,818589 |
,698468 ,732371 ,764237 ,793892 ,821214 |
,701944 ,735653 ,767305 ,796730 ,823814 |
,705402 ,738914 ,770350 ,799546 ,826391 |
,708840 ,742154 ,773373 ,802337 ,828944 |
,712260 ,745373 ,776373 ,805105 ,831472 |
,715661 ,748571 ,779350 ,807850 ,833977 |
,719043 ,751748 ,782304 ,810570 ,836457 |
,722405 ,754903 ,785236 ,813267 ,838913 |
|
1,0 1,1 1,2 1,3 1,4 |
,841345 ,864334 ,884930 ,903200 ,919243 |
,843752 ,866501 ,886861 ,904902 ,920730 |
,846136 ,868643 ,888768 ,906583 ,922196 |
,848495 ,870762 ,890652 ,908241 ,923642 |
,850830 ,872857 ,892512 ,909877 ,925066 |
,853141 ,874928 ,894350 ,911492 ,926471 |
,855428 ,876979 ,896165 ,913085 ,927855 |
,857690 ,879000 ,897958 ,914657 ,929219 |
,859929 ,881000 ,899728 ,916207 ,930563 |
,862143 ,882977 ,901475 ,917736 ,93188 |
|
1,5 1,6 1,7 1,8 1,9 |
,933193 ,945201 ,955435 ,964070 ,971283 |
,934478 ,946301 ,956367 ,964852 ,971933 |
,935745 ,947384 ,957284 ,965620 ,972571 |
,936992 ,948449 ,958175 ,966375 ,973196 |
,938220 ,949497 ,959070 ,967116 973810 |
,939429 ,950529 ,959941 ,967843 ,974412 |
,940620 ,951543 ,960896 ,968557 ,975002 |
,941793 ,952540 ,961636 ,969258 ,975581 |
,942947 ,953521 ,962462 ,969946 ,976148 |
,944083 ,954486 ,963273 ,970621 ,976704 |
|
2,0 2,1 2,2 2,3 2,4 |
,977250 ,982135 ,986096 ,989276 ,991802 |
,977784 ,982571 ,986447 ,989556 ,992024 |
,978308 ,982997 ,986791 ,989830 ,992240 |
,978822 ,983414 ,987126 ,990097 ,992451 |
,979325 ,983823 ,987454 ,990358 ,992656 |
,979818 ,984222 ,987775 ,990613 ,992857 |
,980301 ,984614 ,988089 ,990863 ,993053 |
,980774 ,984996 ,988396 ,991106 ,993244 |
,981237 ,985371 ,988696 ,991344 ,993431 |
,981691 ,985738 ,988989 ,991576 ,993613 |
|
2,5 2,6 2,7 2,8 2,9 |
,993790 ,995339 ,996533 997445 ,998134 |
,993964 ,995473 ,996636 ,997523 998193 |
,994132 ,995604 ,996736 ,997599 ,998250 |
,994297 ,995731 ,996833 ,997673 998305 |
,994457 ,995855 ,996928 ,997744 ,998359 |
,994614 ,995976 ,997020 ,997814 ,998411 |
,994766 ,996093 ,997110 ,997882 ,998462 |
,994915 ,996208 ,997197 ,997948 ,998511 |
,995060 ,996319 ,997282 ,998012 ,998559 |
,995201 ,996428 ,997365 ,998074 ,998605 |
Значения
функции при
|
Z |
,00 |
,05 |
,10 |
,15 |
,20 |
,25 |
,30 |
,35 |
,40 |
,45 |
|
3,0 3,5 4,0 4,5 |
,998650 ,999767 ,999968 ,999997 |
,998856 ,999807 ,999974 ,999997 |
,999032 ,999814 ,999979 ,999998 |
,999184 ,999869 ,999983 ,999998 |
,999313 ,999892 ,999987 ,999999 |
,999423 ,999912 ,999989 ,999999 |
,999517 ,999928 ,999991 ,999999 |
,999596 ,999941 ,999993 ,999999 |
,999663 ,999952 ,999995 1,00000 |
,999720 ,999961 ,999996 1,00000 |
Вследствие симметрии нормального распределения
F(-Z)=1- F(Z)
Приложение Е