الرئيسية موسوعتي بحث

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!}}

	P_k	F_k	P_k	F_k	P_k	F_k	P_k	F_k	P_k	F_k
$k\backslash \lambda$	0,1		0,2		0,3		0,4		0,5
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

	P_k	F_k	P_k	F_k	P_k	F_k	P_k	F_k	P_k	F_k
$k\backslash \lambda$	1,0		2,0		3,0		4,0		5,0
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

	P_k	F_k	P_k	F_k	P_k	F_k	P_k	F_k	P_k	F_k
$k\backslash \lambda$	6,0		7,0		8,0		9,0		10,0
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