n=2 to 8 |
n=9 to12 |
n=13 to 15 |
n=16 to 18 |
n=19 to 21 |
n=22 to 24 |
n=25 to 27 |
|
|
Binomial Probability n = 28 to 29 | |||||||||||||||
Probability of Success, p | |||||||||||||||
n | x | 0.01 | 0.05 | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 0.95 | 0.99 | x |
28 | 0 | 0.754719 | 0.237827 | 0.052335 | 0.001934 | 4.6E-05 | 6.14E-07 | 3.73E-09 | 7.21E-12 | 2.29E-15 | 2.68E-20 | 1E-28 | 3.73E-37 | 1E-56 | 0 |
1 | 0.213456 | 0.350482 | 0.162819 | 0.01354 | 0.000552 | 1.15E-05 | 1.04E-07 | 3.03E-10 | 1.49E-13 | 3.01E-18 | 2.52E-26 | 1.98E-34 | 2.77E-53 | 1 | |
2 | 0.029108 | 0.249026 | 0.244229 | 0.045697 | 0.003194 | 0.000103 | 1.41E-06 | 6.13E-09 | 4.71E-12 | 1.62E-16 | 3.06E-24 | 5.08E-32 | 3.7E-50 | 2 | |
3 | 0.002548 | 0.113591 | 0.235183 | 0.099011 | 0.011862 | 0.000596 | 1.22E-05 | 7.97E-08 | 9.52E-11 | 5.63E-15 | 2.39E-22 | 8.37E-30 | 3.18E-47 | 3 | |
4 | 0.000161 | 0.037365 | 0.163322 | 0.154705 | 0.031773 | 0.002484 | 7.63E-05 | 7.47E-07 | 1.39E-09 | 1.41E-13 | 1.34E-20 | 9.94E-28 | 1.97E-44 | 4 | |
5 | 7.8E-06 | 0.00944 | 0.087105 | 0.185646 | 0.065362 | 0.007948 | 0.000366 | 5.38E-06 | 1.56E-08 | 2.7E-12 | 5.8E-19 | 9.07E-26 | 9.35E-42 | 5 | |
6 | 3.02E-07 | 0.001905 | 0.0371 | 0.17791 | 0.107381 | 0.020311 | 0.001403 | 3.09E-05 | 1.39E-07 | 4.14E-11 | 2E-17 | 6.6E-24 | 3.55E-39 | 6 | |
7 | 9.59E-09 | 0.000315 | 0.012956 | 0.139787 | 0.144635 | 0.042556 | 0.004411 | 0.000146 | 1.02E-06 | 5.21E-10 | 5.66E-16 | 3.94E-22 | 1.1E-36 | 7 | |
8 | 2.54E-10 | 4.35E-05 | 0.003779 | 0.091735 | 0.162715 | 0.074473 | 0.011579 | 0.000574 | 6.25E-06 | 5.47E-09 | 1.34E-14 | 1.97E-20 | 2.87E-34 | 8 | |
9 | 5.71E-12 | 5.09E-06 | 0.000933 | 0.050964 | 0.154966 | 0.110331 | 0.02573 | 0.001913 | 3.24E-05 | 4.86E-08 | 2.68E-13 | 8.3E-19 | 6.31E-32 | 9 | |
10 | 1.1E-13 | 5.09E-07 | 0.000197 | 0.024208 | 0.126187 | 0.139752 | 0.048887 | 0.005453 | 0.000144 | 3.69E-07 | 4.58E-12 | 3E-17 | 1.19E-29 | 10 | |
11 | 1.81E-15 | 4.38E-08 | 3.58E-05 | 0.009903 | 0.088495 | 0.152457 | 0.079998 | 0.013384 | 0.000548 | 2.42E-06 | 6.74E-11 | 9.32E-16 | 1.92E-27 | 11 | |
12 | 2.59E-17 | 3.27E-09 | 5.64E-06 | 0.003507 | 0.053729 | 0.143987 | 0.11333 | 0.028442 | 0.001813 | 1.37E-05 | 8.59E-10 | 2.51E-14 | 2.7E-25 | 12 | |
13 | 3.22E-19 | 2.12E-10 | 7.71E-07 | 0.001079 | 0.028341 | 0.118143 | 0.139483 | 0.052508 | 0.005205 | 6.74E-05 | 9.52E-09 | 5.87E-13 | 3.29E-23 | 13 | |
14 | 3.49E-21 | 1.19E-11 | 9.18E-08 | 0.000289 | 0.013014 | 0.084388 | 0.149446 | 0.084388 | 0.013014 | 0.000289 | 9.18E-08 | 1.19E-11 | 3.49E-21 | 14 | |
15 | 3.29E-23 | 5.87E-13 | 9.52E-09 | 6.74E-05 | 0.005205 | 0.052508 | 0.139483 | 0.118143 | 0.028341 | 0.001079 | 7.71E-07 | 2.12E-10 | 3.22E-19 | 15 | |
16 | 2.7E-25 | 2.51E-14 | 8.59E-10 | 1.37E-05 | 0.001813 | 0.028442 | 0.11333 | 0.143987 | 0.053729 | 0.003507 | 5.64E-06 | 3.27E-09 | 2.59E-17 | 16 | |
17 | 1.92E-27 | 9.32E-16 | 6.74E-11 | 2.42E-06 | 0.000548 | 0.013384 | 0.079998 | 0.152457 | 0.088495 | 0.009903 | 3.58E-05 | 4.38E-08 | 1.81E-15 | 17 | |
18 | 1.19E-29 | 3E-17 | 4.58E-12 | 3.69E-07 | 0.000144 | 0.005453 | 0.048887 | 0.139752 | 0.126187 | 0.024208 | 0.000197 | 5.09E-07 | 1.1E-13 | 18 | |
19 | 6.31E-32 | 8.3E-19 | 2.68E-13 | 4.86E-08 | 3.24E-05 | 0.001913 | 0.02573 | 0.110331 | 0.154966 | 0.050964 | 0.000933 | 5.09E-06 | 5.71E-12 | 19 | |
20 | 2.87E-34 | 1.97E-20 | 1.34E-14 | 5.47E-09 | 6.25E-06 | 0.000574 | 0.011579 | 0.074473 | 0.162715 | 0.091735 | 0.003779 | 4.35E-05 | 2.54E-10 | 20 | |
21 | 1.1E-36 | 3.94E-22 | 5.66E-16 | 5.21E-10 | 1.02E-06 | 0.000146 | 0.004411 | 0.042556 | 0.144635 | 0.139787 | 0.012956 | 0.000315 | 9.59E-09 | 21 | |
22 | 3.55E-39 | 6.6E-24 | 2E-17 | 4.14E-11 | 1.39E-07 | 3.09E-05 | 0.001403 | 0.020311 | 0.107381 | 0.17791 | 0.0371 | 0.001905 | 3.02E-07 | 22 | |
23 | 9.35E-42 | 9.07E-26 | 5.8E-19 | 2.7E-12 | 1.56E-08 | 5.38E-06 | 0.000366 | 0.007948 | 0.065362 | 0.185646 | 0.087105 | 0.00944 | 7.8E-06 | 23 | |
24 | 1.97E-44 | 9.94E-28 | 1.34E-20 | 1.41E-13 | 1.39E-09 | 7.47E-07 | 7.63E-05 | 0.002484 | 0.031773 | 0.154705 | 0.163322 | 0.037365 | 0.000161 | 24 | |
25 | 3.18E-47 | 8.37E-30 | 2.39E-22 | 5.63E-15 | 9.52E-11 | 7.97E-08 | 1.22E-05 | 0.000596 | 0.011862 | 0.099011 | 0.235183 | 0.113591 | 0.002548 | 25 | |
26 | 3.7E-50 | 5.08E-32 | 3.06E-24 | 1.62E-16 | 4.71E-12 | 6.13E-09 | 1.41E-06 | 0.000103 | 0.003194 | 0.045697 | 0.244229 | 0.249026 | 0.029108 | 26 | |
27 | 2.77E-53 | 1.98E-34 | 2.52E-26 | 3.01E-18 | 1.49E-13 | 3.03E-10 | 1.04E-07 | 1.15E-05 | 0.000552 | 0.01354 | 0.162819 | 0.350482 | 0.213456 | 27 | |
28 | 1E-56 | 3.73E-37 | 1E-28 | 2.68E-20 | 2.29E-15 | 7.21E-12 | 3.73E-09 | 6.14E-07 | 4.6E-05 | 0.001934 | 0.052335 | 0.237827 | 0.754719 | 28 | |
n | x | 0.01 | 0.05 | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 0.95 | 0.99 | x |
29 | 0 | 0.747172 | 0.225936 | 0.047101 | 0.001547 | 3.22E-05 | 3.68E-07 | 1.86E-09 | 2.88E-12 | 6.86E-16 | 5.37E-21 | 1E-29 | 1.86E-38 | 1E-58 | 0 |
1 | 0.218869 | 0.344849 | 0.151771 | 0.011219 | 0.0004 | 7.12E-06 | 5.4E-08 | 1.25E-10 | 4.64E-14 | 6.23E-19 | 2.61E-27 | 1.03E-35 | 2.87E-55 | 1 | |
2 | 0.030951 | 0.254099 | 0.236088 | 0.039266 | 0.002401 | 6.65E-05 | 7.56E-07 | 2.63E-09 | 1.52E-12 | 3.49E-17 | 3.29E-25 | 2.73E-33 | 3.98E-52 | 2 | |
3 | 0.002814 | 0.120363 | 0.236088 | 0.088348 | 0.009262 | 0.000399 | 6.81E-06 | 3.55E-08 | 3.19E-11 | 1.26E-15 | 2.66E-23 | 4.67E-31 | 3.55E-49 | 3 | |
4 | 0.000185 | 0.041177 | 0.170508 | 0.143566 | 0.0258 | 0.001729 | 4.42E-05 | 3.47E-07 | 4.83E-10 | 3.26E-14 | 1.56E-21 | 5.77E-29 | 2.28E-46 | 4 | |
5 | 9.33E-06 | 0.010836 | 0.094727 | 0.179457 | 0.055285 | 0.005762 | 0.000221 | 2.6E-06 | 5.64E-09 | 6.53E-13 | 7.01E-20 | 5.48E-27 | 1.13E-43 | 5 | |
6 | 3.77E-07 | 0.002281 | 0.042101 | 0.179457 | 0.094775 | 0.015366 | 0.000885 | 1.56E-05 | 5.26E-08 | 1.04E-11 | 2.52E-18 | 4.16E-25 | 4.47E-41 | 6 | |
7 | 1.25E-08 | 0.000395 | 0.01537 | 0.147412 | 0.133459 | 0.033658 | 0.002907 | 7.69E-05 | 4.03E-07 | 1.37E-10 | 7.47E-17 | 2.6E-23 | 1.45E-38 | 7 | |
8 | 3.48E-10 | 5.71E-05 | 0.004696 | 0.101345 | 0.157291 | 0.061706 | 0.007995 | 0.000317 | 2.59E-06 | 1.51E-09 | 1.85E-15 | 1.36E-21 | 3.96E-36 | 8 | |
9 | 8.19E-12 | 7.01E-06 | 0.001218 | 0.059118 | 0.157291 | 0.095988 | 0.018654 | 0.00111 | 1.41E-05 | 1.41E-08 | 3.88E-14 | 6.02E-20 | 9.15E-34 | 9 | |
10 | 1.65E-13 | 7.38E-07 | 0.000271 | 0.029559 | 0.134821 | 0.127984 | 0.037309 | 0.003329 | 6.58E-05 | 1.13E-07 | 6.98E-13 | 2.29E-18 | 1.81E-31 | 10 | |
11 | 2.89E-15 | 6.71E-08 | 5.19E-05 | 0.012764 | 0.099802 | 0.147375 | 0.064442 | 0.008626 | 0.000265 | 7.79E-07 | 1.09E-11 | 7.51E-17 | 3.1E-29 | 11 | |
12 | 4.37E-17 | 5.3E-09 | 8.65E-06 | 0.004787 | 0.064159 | 0.147375 | 0.096664 | 0.019407 | 0.000928 | 4.67E-06 | 1.47E-10 | 2.14E-15 | 4.6E-27 | 12 | |
13 | 5.78E-19 | 3.65E-10 | 1.26E-06 | 0.001565 | 0.035957 | 0.128481 | 0.126406 | 0.038068 | 0.00283 | 2.45E-05 | 1.73E-09 | 5.32E-14 | 5.96E-25 | 13 | |
14 | 6.67E-21 | 2.19E-11 | 1.6E-07 | 0.000447 | 0.017612 | 0.09789 | 0.144464 | 0.06526 | 0.007548 | 0.000112 | 1.77E-08 | 1.15E-12 | 6.74E-23 | 14 | |
15 | 6.74E-23 | 1.15E-12 | 1.77E-08 | 0.000112 | 0.007548 | 0.06526 | 0.144464 | 0.09789 | 0.017612 | 0.000447 | 1.6E-07 | 2.19E-11 | 6.67E-21 | 15 | |
16 | 5.96E-25 | 5.32E-14 | 1.73E-09 | 2.45E-05 | 0.00283 | 0.038068 | 0.126406 | 0.128481 | 0.035957 | 0.001565 | 1.26E-06 | 3.65E-10 | 5.78E-19 | 16 | |
17 | 4.6E-27 | 2.14E-15 | 1.47E-10 | 4.67E-06 | 0.000928 | 0.019407 | 0.096664 | 0.147375 | 0.064159 | 0.004787 | 8.65E-06 | 5.3E-09 | 4.37E-17 | 17 | |
18 | 3.1E-29 | 7.51E-17 | 1.09E-11 | 7.79E-07 | 0.000265 | 0.008626 | 0.064442 | 0.147375 | 0.099802 | 0.012764 | 5.19E-05 | 6.71E-08 | 2.89E-15 | 18 | |
19 | 1.81E-31 | 2.29E-18 | 6.98E-13 | 1.13E-07 | 6.58E-05 | 0.003329 | 0.037309 | 0.127984 | 0.134821 | 0.029559 | 0.000271 | 7.38E-07 | 1.65E-13 | 19 | |
20 | 9.15E-34 | 6.02E-20 | 3.88E-14 | 1.41E-08 | 1.41E-05 | 0.00111 | 0.018654 | 0.095988 | 0.157291 | 0.059118 | 0.001218 | 7.01E-06 | 8.19E-12 | 20 | |
21 | 3.96E-36 | 1.36E-21 | 1.85E-15 | 1.51E-09 | 2.59E-06 | 0.000317 | 0.007995 | 0.061706 | 0.157291 | 0.101345 | 0.004696 | 5.71E-05 | 3.48E-10 | 21 | |
22 | 1.45E-38 | 2.6E-23 | 7.47E-17 | 1.37E-10 | 4.03E-07 | 7.69E-05 | 0.002907 | 0.033658 | 0.133459 | 0.147412 | 0.01537 | 0.000395 | 1.25E-08 | 22 | |
23 | 4.47E-41 | 4.16E-25 | 2.52E-18 | 1.04E-11 | 5.26E-08 | 1.56E-05 | 0.000885 | 0.015366 | 0.094775 | 0.179457 | 0.042101 | 0.002281 | 3.77E-07 | 23 | |
24 | 1.13E-43 | 5.48E-27 | 7.01E-20 | 6.53E-13 | 5.64E-09 | 2.6E-06 | 0.000221 | 0.005762 | 0.055285 | 0.179457 | 0.094727 | 0.010836 | 9.33E-06 | 24 | |
25 | 2.28E-46 | 5.77E-29 | 1.56E-21 | 3.26E-14 | 4.83E-10 | 3.47E-07 | 4.42E-05 | 0.001729 | 0.0258 | 0.143566 | 0.170508 | 0.041177 | 0.000185 | 25 | |
26 | 3.55E-49 | 4.67E-31 | 2.66E-23 | 1.26E-15 | 3.19E-11 | 3.55E-08 | 6.81E-06 | 0.000399 | 0.009262 | 0.088348 | 0.236088 | 0.120363 | 0.002814 | 26 | |
27 | 3.98E-52 | 2.73E-33 | 3.29E-25 | 3.49E-17 | 1.52E-12 | 2.63E-09 | 7.56E-07 | 6.65E-05 | 0.002401 | 0.039266 | 0.236088 | 0.254099 | 0.030951 | 27 | |
28 | 2.87E-55 | 1.03E-35 | 2.61E-27 | 6.23E-19 | 4.64E-14 | 1.25E-10 | 5.4E-08 | 7.12E-06 | 0.0004 | 0.011219 | 0.151771 | 0.344849 | 0.218869 | 28 | |
29 | 1E-58 | 1.86E-38 | 1E-29 | 5.37E-21 | 6.86E-16 | 2.88E-12 | 1.86E-09 | 3.68E-07 | 3.22E-05 | 0.001547 | 0.047101 | 0.225936 | 0.747172 | 29 |