n=2 to 8 |
n=9 to12 |
|
n=16 to 18 |
n=19 to 21 |
n=22 to 24 |
n=25 to 27 |
n=28 to 29 |
|
Binomial Probability n = 13 to 15 | |||||||||||||||
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 |
13 | 0 | 0.877521 | 0.513342 | 0.254187 | 0.054976 | 0.009689 | 0.001306 | 0.000122 | 6.71E-06 | 1.59E-07 | 8.19E-10 | 1E-13 | 1.22E-17 | 1E-26 | 0 |
1 | 0.11523 | 0.351234 | 0.367158 | 0.178671 | 0.053981 | 0.011319 | 0.001587 | 0.000131 | 4.84E-06 | 4.26E-08 | 1.17E-11 | 3.02E-15 | 1.29E-23 | 1 | |
2 | 0.006984 | 0.110916 | 0.244772 | 0.268006 | 0.138808 | 0.045277 | 0.009521 | 0.001178 | 6.77E-05 | 1.02E-06 | 6.32E-10 | 3.44E-13 | 7.64E-21 | 2 | |
3 | 0.000259 | 0.021405 | 0.099722 | 0.245672 | 0.218127 | 0.110677 | 0.034912 | 0.006478 | 0.000579 | 1.5E-05 | 2.08E-08 | 2.39E-11 | 2.78E-18 | 3 | |
4 | 6.53E-06 | 0.002816 | 0.027701 | 0.153545 | 0.233708 | 0.184462 | 0.08728 | 0.024291 | 0.003379 | 0.00015 | 4.69E-07 | 1.14E-09 | 6.87E-16 | 4 | |
5 | 1.19E-07 | 0.000267 | 0.00554 | 0.069095 | 0.180289 | 0.221355 | 0.157104 | 0.065587 | 0.014192 | 0.00108 | 7.6E-06 | 3.89E-08 | 1.22E-13 | 5 | |
6 | 1.6E-09 | 1.87E-05 | 0.000821 | 0.023032 | 0.103022 | 0.19676 | 0.209473 | 0.131173 | 0.044152 | 0.005758 | 9.12E-05 | 9.85E-07 | 1.62E-11 | 6 | |
7 | 1.62E-11 | 9.85E-07 | 9.12E-05 | 0.005758 | 0.044152 | 0.131173 | 0.209473 | 0.19676 | 0.103022 | 0.023032 | 0.000821 | 1.87E-05 | 1.6E-09 | 7 | |
8 | 1.22E-13 | 3.89E-08 | 7.6E-06 | 0.00108 | 0.014192 | 0.065587 | 0.157104 | 0.221355 | 0.180289 | 0.069095 | 0.00554 | 0.000267 | 1.19E-07 | 8 | |
9 | 6.87E-16 | 1.14E-09 | 4.69E-07 | 0.00015 | 0.003379 | 0.024291 | 0.08728 | 0.184462 | 0.233708 | 0.153545 | 0.027701 | 0.002816 | 6.53E-06 | 9 | |
10 | 2.78E-18 | 2.39E-11 | 2.08E-08 | 1.5E-05 | 0.000579 | 0.006478 | 0.034912 | 0.110677 | 0.218127 | 0.245672 | 0.099722 | 0.021405 | 0.000259 | 10 | |
11 | 7.64E-21 | 3.44E-13 | 6.32E-10 | 1.02E-06 | 6.77E-05 | 0.001178 | 0.009521 | 0.045277 | 0.138808 | 0.268006 | 0.244772 | 0.110916 | 0.006984 | 11 | |
12 | 1.29E-23 | 3.02E-15 | 1.17E-11 | 4.26E-08 | 4.84E-06 | 0.000131 | 0.001587 | 0.011319 | 0.053981 | 0.178671 | 0.367158 | 0.351234 | 0.11523 | 12 | |
13 | 1E-26 | 1.22E-17 | 1E-13 | 8.19E-10 | 1.59E-07 | 6.71E-06 | 0.000122 | 0.001306 | 0.009689 | 0.054976 | 0.254187 | 0.513342 | 0.877521 | 13 | |
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 |
14 | 0 | 0.868746 | 0.487675 | 0.228768 | 0.04398 | 0.006782 | 0.000784 | 6.1E-05 | 2.68E-06 | 4.78E-08 | 1.64E-10 | 1E-14 | 6.1E-19 | 1E-28 | 0 |
1 | 0.122853 | 0.359339 | 0.355861 | 0.153932 | 0.040693 | 0.007314 | 0.000854 | 5.64E-05 | 1.56E-06 | 9.18E-09 | 1.26E-12 | 1.62E-16 | 1.39E-25 | 1 | |
2 | 0.008066 | 0.122932 | 0.257011 | 0.250139 | 0.11336 | 0.031694 | 0.005554 | 0.00055 | 2.37E-05 | 2.39E-07 | 7.37E-11 | 2.01E-14 | 8.92E-23 | 2 | |
3 | 0.000326 | 0.02588 | 0.114227 | 0.250139 | 0.194332 | 0.084517 | 0.022217 | 0.003298 | 0.000221 | 3.82E-06 | 2.65E-09 | 1.52E-12 | 3.53E-20 | 3 | |
4 | 9.05E-06 | 0.003746 | 0.034903 | 0.17197 | 0.229034 | 0.154948 | 0.061096 | 0.013603 | 0.001419 | 4.2E-05 | 6.57E-08 | 7.96E-11 | 9.62E-18 | 4 | |
5 | 1.83E-07 | 0.000394 | 0.007756 | 0.085985 | 0.196315 | 0.206598 | 0.122192 | 0.040809 | 0.006623 | 0.000336 | 1.18E-06 | 3.03E-09 | 1.9E-15 | 5 | |
6 | 2.77E-09 | 3.11E-05 | 0.001293 | 0.032244 | 0.126202 | 0.206598 | 0.183289 | 0.091821 | 0.02318 | 0.002015 | 1.6E-05 | 8.62E-08 | 2.83E-13 | 6 | |
7 | 3.2E-11 | 1.87E-06 | 0.000164 | 0.009213 | 0.061813 | 0.157408 | 0.209473 | 0.157408 | 0.061813 | 0.009213 | 0.000164 | 1.87E-06 | 3.2E-11 | 7 | |
8 | 2.83E-13 | 8.62E-08 | 1.6E-05 | 0.002015 | 0.02318 | 0.091821 | 0.183289 | 0.206598 | 0.126202 | 0.032244 | 0.001293 | 3.11E-05 | 2.77E-09 | 8 | |
9 | 1.9E-15 | 3.03E-09 | 1.18E-06 | 0.000336 | 0.006623 | 0.040809 | 0.122192 | 0.206598 | 0.196315 | 0.085985 | 0.007756 | 0.000394 | 1.83E-07 | 9 | |
10 | 9.62E-18 | 7.96E-11 | 6.57E-08 | 4.2E-05 | 0.001419 | 0.013603 | 0.061096 | 0.154948 | 0.229034 | 0.17197 | 0.034903 | 0.003746 | 9.05E-06 | 10 | |
11 | 3.53E-20 | 1.52E-12 | 2.65E-09 | 3.82E-06 | 0.000221 | 0.003298 | 0.022217 | 0.084517 | 0.194332 | 0.250139 | 0.114227 | 0.02588 | 0.000326 | 11 | |
12 | 8.92E-23 | 2.01E-14 | 7.37E-11 | 2.39E-07 | 2.37E-05 | 0.00055 | 0.005554 | 0.031694 | 0.11336 | 0.250139 | 0.257011 | 0.122932 | 0.008066 | 12 | |
13 | 1.39E-25 | 1.62E-16 | 1.26E-12 | 9.18E-09 | 1.56E-06 | 5.64E-05 | 0.000854 | 0.007314 | 0.040693 | 0.153932 | 0.355861 | 0.359339 | 0.122853 | 13 | |
14 | 1E-28 | 6.1E-19 | 1E-14 | 1.64E-10 | 4.78E-08 | 2.68E-06 | 6.1E-05 | 0.000784 | 0.006782 | 0.04398 | 0.228768 | 0.487675 | 0.868746 | 14 | |
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 |
15 | 0 | 0.860058 | 0.463291 | 0.205891 | 0.035184 | 0.004748 | 0.00047 | 3.05E-05 | 1.07E-06 | 1.43E-08 | 3.28E-11 | 1E-15 | 3.05E-20 | 1E-30 | 0 |
1 | 0.130312 | 0.365756 | 0.343152 | 0.131941 | 0.03052 | 0.004702 | 0.000458 | 2.42E-05 | 5.02E-07 | 1.97E-09 | 1.35E-13 | 8.7E-18 | 1.49E-27 | 1 | |
2 | 0.009214 | 0.134752 | 0.266896 | 0.230897 | 0.09156 | 0.021942 | 0.003204 | 0.000254 | 8.2E-06 | 5.51E-08 | 8.5E-12 | 1.16E-15 | 1.03E-24 | 2 | |
3 | 0.000403 | 0.030733 | 0.128505 | 0.250139 | 0.17004 | 0.063388 | 0.013885 | 0.001649 | 8.29E-05 | 9.54E-07 | 3.32E-10 | 9.52E-14 | 4.41E-22 | 3 | |
4 | 1.22E-05 | 0.004853 | 0.042835 | 0.187604 | 0.218623 | 0.126776 | 0.041656 | 0.00742 | 0.000581 | 1.15E-05 | 8.96E-09 | 5.43E-12 | 1.31E-19 | 4 | |
5 | 2.72E-07 | 0.000562 | 0.010471 | 0.103182 | 0.20613 | 0.185938 | 0.091644 | 0.024486 | 0.00298 | 0.000101 | 1.77E-07 | 2.27E-10 | 2.86E-17 | 5 | |
6 | 4.57E-09 | 4.93E-05 | 0.001939 | 0.042993 | 0.147236 | 0.206598 | 0.15274 | 0.061214 | 0.01159 | 0.000672 | 2.66E-06 | 7.19E-09 | 4.71E-15 | 6 | |
7 | 5.94E-11 | 3.34E-06 | 0.000277 | 0.013819 | 0.08113 | 0.177084 | 0.196381 | 0.118056 | 0.03477 | 0.003455 | 3.08E-05 | 1.76E-07 | 6E-13 | 7 | |
8 | 6E-13 | 1.76E-07 | 3.08E-05 | 0.003455 | 0.03477 | 0.118056 | 0.196381 | 0.177084 | 0.08113 | 0.013819 | 0.000277 | 3.34E-06 | 5.94E-11 | 8 | |
9 | 4.71E-15 | 7.19E-09 | 2.66E-06 | 0.000672 | 0.01159 | 0.061214 | 0.15274 | 0.206598 | 0.147236 | 0.042993 | 0.001939 | 4.93E-05 | 4.57E-09 | 9 | |
10 | 2.86E-17 | 2.27E-10 | 1.77E-07 | 0.000101 | 0.00298 | 0.024486 | 0.091644 | 0.185938 | 0.20613 | 0.103182 | 0.010471 | 0.000562 | 2.72E-07 | 10 | |
11 | 1.31E-19 | 5.43E-12 | 8.96E-09 | 1.15E-05 | 0.000581 | 0.00742 | 0.041656 | 0.126776 | 0.218623 | 0.187604 | 0.042835 | 0.004853 | 1.22E-05 | 11 | |
12 | 4.41E-22 | 9.52E-14 | 3.32E-10 | 9.54E-07 | 8.29E-05 | 0.001649 | 0.013885 | 0.063388 | 0.17004 | 0.250139 | 0.128505 | 0.030733 | 0.000403 | 12 | |
13 | 1.03E-24 | 1.16E-15 | 8.51E-12 | 5.51E-08 | 8.2E-06 | 0.000254 | 0.003204 | 0.021942 | 0.09156 | 0.230897 | 0.266896 | 0.134752 | 0.009214 | 13 | |
14 | 1.49E-27 | 8.7E-18 | 1.35E-13 | 1.97E-09 | 5.02E-07 | 2.42E-05 | 0.000458 | 0.004702 | 0.03052 | 0.131941 | 0.343152 | 0.365756 | 0.130312 | 14 | |
15 | 1E-30 | 3.05E-20 | 1E-15 | 3.28E-11 | 1.43E-08 | 1.07E-06 | 3.05E-05 | 0.00047 | 0.004748 | 0.035184 | 0.205891 | 0.463291 | 0.860058 | 15 |