Table 1: Cumulative Binomial Probabilities

Cumulative probabilities for a Bin(n,p) distribution are tabulated for n = 10, 11, 12 and selected p between 0 and 0.5.

Example: The cumulative probability at x = 4 for a Bin(10, 0.5) distribution is 0.37695 (see the red bold-faced entry).

n = 10
	p
x	0.01	0.02	0.03	0.04	0.05	0.06	0.07	0.08	0.09	0.10
0	0.90438	0.81707	0.73742	0.66483	0.59874	0.53862	0.48398	0.43439	0.38942	0.34868
1	0.99573	0.98382	0.96549	0.94185	0.91386	0.88241	0.84827	0.81212	0.77455	0.73610
2	0.99989	0.99914	0.99724	0.99379	0.98850	0.98116	0.97166	0.95992	0.94596	0.92981
3	1.00000	0.99997	0.99985	0.99956	0.99897	0.99797	0.99642	0.99420	0.99117	0.98720
4	1.00000	1.00000	0.99999	0.99998	0.99994	0.99985	0.99969	0.99941	0.99899	0.99837
5	1.00000	1.00000	1.00000	1.00000	1.00000	0.99999	0.99998	0.99996	0.99992	0.99985
6	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	0.99999
7	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000
8	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000
9	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000
10	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000
	p
x	0.11	0.12	0.13	0.14	0.15	0.16	0.17	0.18	0.19	0.20
0	0.31182	0.27850	0.24842	0.22130	0.19687	0.17490	0.15516	0.13745	0.12158	0.10737
1	0.69721	0.65828	0.61963	0.58156	0.54430	0.50805	0.47296	0.43916	0.40676	0.37581
2	0.91156	0.89132	0.86924	0.84547	0.82020	0.79360	0.76587	0.73720	0.70778	0.67780
3	0.98220	0.97606	0.96870	0.96004	0.95003	0.93864	0.92585	0.91166	0.89607	0.87913
4	0.99748	0.99628	0.99470	0.99267	0.99013	0.98699	0.98320	0.97868	0.97337	0.96721
5	0.99975	0.99959	0.99937	0.99905	0.99862	0.99804	0.99729	0.99633	0.99512	0.99363
6	0.99998	0.99997	0.99995	0.99991	0.99987	0.99979	0.99970	0.99956	0.99938	0.99914
7	1.00000	1.00000	1.00000	0.99999	0.99999	0.99999	0.99998	0.99996	0.99995	0.99992
8	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000
9	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000
10	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000
	p
x	0.21	0.22	0.23	0.24	0.25	0.26	0.27	0.28	0.29	0.30
0	0.09468	0.08336	0.07327	0.06429	0.05631	0.04924	0.04298	0.03744	0.03255	0.02825
1	0.34637	0.31847	0.29212	0.26731	0.24403	0.22224	0.20193	0.18304	0.16551	0.14931
2	0.64744	0.61688	0.58628	0.55581	0.52559	0.49578	0.46649	0.43783	0.40990	0.38278
3	0.86086	0.84133	0.82060	0.79875	0.77588	0.75207	0.72742	0.70206	0.67608	0.64961
4	0.96014	0.95211	0.94308	0.93301	0.92187	0.90965	0.89632	0.88188	0.86635	0.84973
5	0.99181	0.98961	0.98698	0.98389	0.98027	0.97609	0.97128	0.96580	0.95961	0.95265
6	0.99882	0.99842	0.99791	0.99728	0.99649	0.99554	0.99438	0.99300	0.99135	0.98941
7	0.99989	0.99984	0.99978	0.99969	0.99958	0.99944	0.99926	0.99904	0.99876	0.99841
8	0.99999	0.99999	0.99999	0.99998	0.99997	0.99996	0.99994	0.99992	0.99989	0.99986
9	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	0.99999
10	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000
	p
x	0.31	0.32	0.33	0.34	0.35	0.36	0.37	0.38	0.39	0.40
0	0.02446	0.02114	0.01823	0.01568	0.01346	0.01153	0.00985	0.00839	0.00713	0.00605
1	0.13436	0.12062	0.10801	0.09648	0.08595	0.07638	0.06769	0.05983	0.05274	0.04636
2	0.35656	0.33128	0.30700	0.28377	0.26161	0.24054	0.22057	0.20171	0.18395	0.16729
3	0.62276	0.59564	0.56837	0.54106	0.51383	0.48677	0.46000	0.43360	0.40766	0.38228
4	0.83205	0.81334	0.79365	0.77301	0.75150	0.72916	0.70607	0.68231	0.65796	0.63310
5	0.94489	0.93629	0.92680	0.91640	0.90507	0.89277	0.87950	0.86524	0.84999	0.83376
6	0.98714	0.98450	0.98145	0.97796	0.97398	0.96946	0.96437	0.95867	0.95231	0.94524
7	0.99798	0.99746	0.99683	0.99608	0.99518	0.99411	0.99286	0.99139	0.98968	0.98771
8	0.99981	0.99975	0.99967	0.99958	0.99946	0.99931	0.99913	0.99891	0.99865	0.99832
9	0.99999	0.99999	0.99998	0.99998	0.99997	0.99996	0.99995	0.99994	0.99992	0.99990
10	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000
	p
x	0.41	0.42	0.43	0.44	0.45	0.46	0.47	0.48	0.49	0.50
0	0.00511	0.00431	0.00362	0.00303	0.00253	0.00211	0.00175	0.00145	0.00119	0.00098
1	0.04063	0.03550	0.03093	0.02686	0.02326	0.02007	0.01726	0.01479	0.01263	0.01074
2	0.15170	0.13716	0.12365	0.11112	0.09956	0.08891	0.07915	0.07022	0.06208	0.05469
3	0.35752	0.33346	0.31016	0.28767	0.26604	0.24530	0.22550	0.20665	0.18877	0.17188
4	0.60783	0.58223	0.55639	0.53042	0.50440	0.47844	0.45263	0.42705	0.40180	0.37695
5	0.81655	0.79839	0.77929	0.75930	0.73844	0.71676	0.69432	0.67118	0.64740	0.62305
6	0.93743	0.92884	0.91942	0.90916	0.89801	0.88594	0.87293	0.85897	0.84404	0.82813
7	0.98543	0.98281	0.97983	0.97644	0.97261	0.96829	0.96344	0.95803	0.95200	0.94531
8	0.99793	0.99747	0.99692	0.99627	0.99550	0.99460	0.99354	0.99232	0.99090	0.98926
9	0.99987	0.99983	0.99978	0.99973	0.99966	0.99958	0.99947	0.99935	0.99920	0.99902
10	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000

Tabulated by S L C Saw

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