# جدول توزيع بواسون

الاحتمال ( Pk = p( k بتوزيع بواسون ذا المعلمة λ
    $\forall k\in \mathbb {N} ,P_{k}=p(k)=P(X=k)=e^{-\lambda }.{\frac {\lambda ^{k}}{k!}}$
و
    $\forall k\in \mathbb {N} ,F_{k}=P(X\leq k)=e^{-\lambda }\sum _{i=0}^{k}{\frac {\lambda ^{i}}{i!}}$
| $k\backslash \lambda$ | 0,1 | 0,1 | 0,2 | 0,2 | 0,3 | 0,3 | 0,4 | 0,4 | 0,5 | 0,5 |
| | P$_k$ | F$_k$ | P$_k$ | F$_k$ | P$_k$ | F$_k$ | P$_k$ | F$_k$ | P$_k$ | F$_k$ |
| 0 | 90484 | 90484 | 81873 | 81873 | 74082 | 74082 | 67032 | 67032 | 60653 | 60653 |
| 1 | 9048 | 99532 | 16375 | 98248 | 22225 | 96306 | 26813 | 93845 | 30327 | 90980 |
| 2 | 452 | 99985 | 1637 | 99885 | 3334 | 99640 | 5363 | 99207 | 7582 | 98561 |
| 3 | 15 | 100000 | 109 | 99994 | 333 | 99973 | 715 | 99922 | 1264 | 99825 |
| 4 | 0 | 100000 | 5 | 100000 | 25 | 99998 | 72 | 99994 | 158 | 99983 |
| 5 | 0 | 100000 | 0 | 100000 | 2 | 100000 | 6 | 100000 | 16 | 99999 |
| 6 | 0 | 100000 | 0 | 100000 | 0 | 100000 | 0 | 100000 | 1 | 100000 |
| $k\backslash \lambda$ | 1,0 | 1,0 | 2,0 | 2,0 | 3,0 | 3,0 | 4,0 | 4,0 | 5,0 | 5,0 |
| | P$_k$ | F$_k$ | P$_k$ | F$_k$ | P$_k$ | F$_k$ | P$_k$ | F$_k$ | P$_k$ | F$_k$ |
| 0 | 36788 | 36788 | 13534 | 13534 | 4979 | 4979 | 1832 | 1832 | 674 | 674 |
| 1 | 36788 | 73576 | 27067 | 40601 | 14936 | 19915 | 7326 | 9158 | 3369 | 4043 |
| 2 | 18394 | 91970 | 27067 | 67668 | 22404 | 42319 | 14653 | 23810 | 8422 | 12465 |
| 3 | 6131 | 98101 | 18045 | 85712 | 22404 | 64723 | 19537 | 43347 | 14037 | 26503 |
| 4 | 1533 | 99634 | 9022 | 94735 | 16803 | 81526 | 19537 | 62884 | 17547 | 44049 |
| 5 | 307 | 99941 | 3609 | 98344 | 10082 | 91608 | 15629 | 78513 | 17547 | 61596 |
| 6 | 51 | 99992 | 1203 | 99547 | 5041 | 96649 | 10420 | 88933 | 14622 | 76218 |
| 7 | 7 | 99999 | 344 | 99890 | 2160 | 98810 | 5954 | 94887 | 10444 | 86663 |
| 8 | 1 | 100000 | 86 | 99976 | 810 | 99620 | 2977 | 97864 | 6528 | 93191 |
| 9 | 0 | 100000 | 19 | 99995 | 270 | 99890 | 1323 | 99187 | 3627 | 96817 |
| 10 | 0 | 100000 | 4 | 99999 | 81 | 99971 | 529 | 99716 | 1813 | 98630 |
| 11 | 0 | 100000 | 1 | 100000 | 22 | 99993 | 192 | 99908 | 824 | 99455 |
| 12 | 0 | 100000 | 0 | 100000 | 6 | 99998 | 64 | 99973 | 343 | 99798 |
| 13 | 0 | 100000 | 0 | 100000 | 1 | 100000 | 20 | 99992 | 132 | 99930 |
| 14 | 0 | 100000 | 0 | 100000 | 0 | 100000 | 6 | 99998 | 47 | 99977 |
| 15 | 0 | 100000 | 0 | 100000 | 0 | 100000 | 2 | 100000 | 16 | 99993 |
| 16 | 0 | 100000 | 0 | 100000 | 0 | 100000 | 0 | 100000 | 5 | 99998 |
| 17 | 0 | 100000 | 0 | 100000 | 0 | 100000 | 0 | 100000 | 1 | 99999 |
| $k\backslash \lambda$ | 6,0 | 6,0 | 7,0 | 7,0 | 8,0 | 8,0 | 9,0 | 9,0 | 10,0 | 10,0 |
| | P$_k$ | F$_k$ | P$_k$ | F$_k$ | P$_k$ | F$_k$ | P$_k$ | F$_k$ | P$_k$ | F$_k$ |
| 0 | 248 | 248 | 91 | 91 | 34 | 34 | 12 | 12 | 5 | 5 |
| 1 | 1487 | 1735 | 638 | 730 | 268 | 302 | 111 | 123 | 45 | 50 |
| 2 | 4462 | 6197 | 2234 | 2964 | 1073 | 1375 | 500 | 623 | 227 | 277 |
| 3 | 8924 | 15120 | 5213 | 8177 | 2863 | 4238 | 1499 | 2123 | 757 | 1034 |
| 4 | 13385 | 28506 | 9123 | 17299 | 5725 | 9963 | 3374 | 5496 | 1892 | 2925 |
| 5 | 16062 | 44568 | 12772 | 30071 | 9160 | 19124 | 6073 | 11569 | 3783 | 6709 |
| 6 | 16062 | 60630 | 14900 | 44971 | 12214 | 31337 | 9109 | 20678 | 6306 | 13014 |
| 7 | 13768 | 74398 | 14900 | 59871 | 13959 | 45296 | 11712 | 32390 | 9008 | 22022 |
| 8 | 10326 | 84724 | 13038 | 72909 | 13959 | 59255 | 13176 | 45565 | 11260 | 33282 |
| 9 | 6884 | 91608 | 10140 | 83050 | 12408 | 71662 | 13176 | 58741 | 12511 | 45793 |
| 10 | 4130 | 95738 | 7098 | 90148 | 9926 | 81589 | 11858 | 70599 | 12511 | 58304 |
| 11 | 2253 | 97991 | 4517 | 94665 | 7219 | 88808 | 9702 | 80301 | 11374 | 69678 |
| 12 | 1126 | 99117 | 2635 | 97300 | 4813 | 93620 | 7277 | 87577 | 9478 | 79156 |
| 13 | 520 | 99637 | 1419 | 98719 | 2962 | 96582 | 5038 | 92615 | 7291 | 86446 |
| 14 | 223 | 99860 | 709 | 99428 | 1692 | 98274 | 3238 | 95853 | 5208 | 91654 |
| 15 | 89 | 99949 | 331 | 99759 | 903 | 99177 | 1943 | 97796 | 3472 | 95126 |
| 16 | 33 | 99983 | 145 | 99904 | 451 | 99628 | 1093 | 98889 | 2170 | 97296 |
| 17 | 12 | 99994 | 60 | 99964 | 212 | 99841 | 579 | 99468 | 1276 | 98572 |
| 18 | 4 | 99998 | 23 | 99987 | 94 | 99935 | 289 | 99757 | 709 | 99281 |
| 19 | 1 | 99999 | 9 | 99996 | 40 | 99975 | 137 | 99894 | 373 | 99655 |
| 20 | 0 | 100000 | 3 | 99999 | 16 | 99991 | 62 | 99956 | 187 | 99841 |
| 21 | 0 | 100000 | 1 | 100000 | 6 | 99997 | 26 | 99983 | 89 | 99930 |
| 22 | 0 | 100000 | 0 | 100000 | 2 | 99999 | 11 | 99993 | 40 | 99970 |
| 23 | 0 | 100000 | 0 | 100000 | 1 | 100000 | 4 | 99998 | 18 | 99988 |
| 24 | 0 | 100000 | 0 | 100000 | 0 | 100000 | 2 | 99999 | 7 | 99995 |
| 25 | 0 | 100000 | 0 | 100000 | 0 | 100000 | 1 | 100000 | 3 | 99998 |
| 26 | 0 | 100000 | 0 | 100000 | 0 | 100000 | 0 | 100000 | 1 | 99999 |