n=2 to 8 |
n=9 to12 |
n=13 to 15 |
n=16 to 18 |
n=19 to 21 |
|
n=25 to 27 |
n=28 to 29 |
|
Binomial Probability n = 22 to 24 | |||||||||||||||
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 |
22 | 0 | 0.801631 | 0.323534 | 0.098477 | 0.007379 | 0.000391 | 1.32E-05 | 2.38E-07 | 1.76E-09 | 3.14E-12 | 4.19E-16 | 1E-22 | 2.38E-29 | 1E-44 | 0 |
1 | 0.17814 | 0.374618 | 0.240722 | 0.040583 | 0.003686 | 0.000193 | 5.25E-06 | 5.81E-08 | 1.61E-10 | 3.69E-14 | 1.98E-20 | 9.97E-27 | 2.18E-41 | 1 | |
2 | 0.018894 | 0.207026 | 0.280842 | 0.10653 | 0.016589 | 0.001351 | 5.51E-05 | 9.14E-07 | 3.95E-09 | 1.55E-12 | 1.87E-18 | 1.99E-24 | 2.26E-38 | 2 | |
3 | 0.001272 | 0.072641 | 0.208031 | 0.17755 | 0.047397 | 0.006006 | 0.000367 | 9.14E-06 | 6.14E-08 | 4.13E-11 | 1.12E-16 | 2.52E-22 | 1.49E-35 | 3 | |
4 | 6.1E-05 | 0.01816 | 0.109794 | 0.210841 | 0.096486 | 0.019019 | 0.001744 | 6.51E-05 | 6.8E-07 | 7.85E-10 | 4.8E-15 | 2.27E-20 | 7.03E-33 | 4 | |
5 | 2.22E-06 | 0.003441 | 0.043918 | 0.189756 | 0.148864 | 0.045644 | 0.006279 | 0.000352 | 5.72E-06 | 1.13E-08 | 1.55E-13 | 1.55E-18 | 2.5E-30 | 5 | |
6 | 6.35E-08 | 0.000513 | 0.013826 | 0.134411 | 0.180763 | 0.086217 | 0.017789 | 0.001495 | 3.78E-05 | 1.28E-07 | 3.97E-12 | 8.37E-17 | 7.02E-28 | 6 | |
7 | 1.47E-09 | 6.17E-05 | 0.003511 | 0.076806 | 0.177074 | 0.131379 | 0.040661 | 0.005126 | 0.000202 | 1.17E-06 | 8.16E-11 | 3.63E-15 | 1.59E-25 | 7 | |
8 | 2.78E-11 | 6.09E-06 | 0.000732 | 0.036003 | 0.142292 | 0.164223 | 0.076239 | 0.014417 | 0.000882 | 8.79E-06 | 1.38E-09 | 1.29E-13 | 2.95E-23 | 8 | |
9 | 4.36E-13 | 4.99E-07 | 0.000126 | 0.014001 | 0.094861 | 0.170306 | 0.118594 | 0.033641 | 0.0032 | 5.47E-05 | 1.93E-08 | 3.83E-12 | 4.54E-21 | 9 | |
10 | 5.73E-15 | 3.41E-08 | 1.83E-05 | 0.00455 | 0.052851 | 0.147598 | 0.154172 | 0.065599 | 0.009707 | 0.000284 | 2.25E-07 | 9.45E-11 | 5.85E-19 | 10 | |
11 | 6.32E-17 | 1.96E-09 | 2.21E-06 | 0.001241 | 0.02471 | 0.107344 | 0.168188 | 0.107344 | 0.02471 | 0.001241 | 2.21E-06 | 1.96E-09 | 6.32E-17 | 11 | |
12 | 5.85E-19 | 9.45E-11 | 2.25E-07 | 0.000284 | 0.009707 | 0.065599 | 0.154172 | 0.147598 | 0.052851 | 0.00455 | 1.83E-05 | 3.41E-08 | 5.73E-15 | 12 | |
13 | 4.54E-21 | 3.83E-12 | 1.93E-08 | 5.47E-05 | 0.0032 | 0.033641 | 0.118594 | 0.170306 | 0.094861 | 0.014001 | 0.000126 | 4.99E-07 | 4.36E-13 | 13 | |
14 | 2.95E-23 | 1.29E-13 | 1.38E-09 | 8.79E-06 | 0.000882 | 0.014417 | 0.076239 | 0.164223 | 0.142292 | 0.036003 | 0.000732 | 6.09E-06 | 2.78E-11 | 14 | |
15 | 1.59E-25 | 3.63E-15 | 8.16E-11 | 1.17E-06 | 0.000202 | 0.005126 | 0.040661 | 0.131379 | 0.177074 | 0.076806 | 0.003511 | 6.17E-05 | 1.47E-09 | 15 | |
16 | 7.02E-28 | 8.37E-17 | 3.97E-12 | 1.28E-07 | 3.78E-05 | 0.001495 | 0.017789 | 0.086217 | 0.180763 | 0.134411 | 0.013826 | 0.000513 | 6.35E-08 | 16 | |
17 | 2.5E-30 | 1.55E-18 | 1.55E-13 | 1.13E-08 | 5.72E-06 | 0.000352 | 0.006279 | 0.045644 | 0.148864 | 0.189756 | 0.043918 | 0.003441 | 2.22E-06 | 17 | |
18 | 7.03E-33 | 2.27E-20 | 4.8E-15 | 7.85E-10 | 6.8E-07 | 6.51E-05 | 0.001744 | 0.019019 | 0.096486 | 0.210841 | 0.109794 | 0.01816 | 6.1E-05 | 18 | |
19 | 1.49E-35 | 2.52E-22 | 1.12E-16 | 4.13E-11 | 6.14E-08 | 9.14E-06 | 0.000367 | 0.006006 | 0.047397 | 0.17755 | 0.208031 | 0.072641 | 0.001272 | 19 | |
20 | 2.26E-38 | 1.99E-24 | 1.87E-18 | 1.55E-12 | 3.95E-09 | 9.14E-07 | 5.51E-05 | 0.001351 | 0.016589 | 0.10653 | 0.280842 | 0.207026 | 0.018894 | 20 | |
21 | 2.18E-41 | 9.97E-27 | 1.98E-20 | 3.69E-14 | 1.61E-10 | 5.81E-08 | 5.25E-06 | 0.000193 | 0.003686 | 0.040583 | 0.240722 | 0.374618 | 0.17814 | 21 | |
22 | 1E-44 | 2.38E-29 | 1E-22 | 4.19E-16 | 3.14E-12 | 1.76E-09 | 2.38E-07 | 1.32E-05 | 0.000391 | 0.007379 | 0.098477 | 0.323534 | 0.801631 | 22 | |
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 |
23 | 0 | 0.793614 | 0.307357 | 0.088629 | 0.005903 | 0.000274 | 7.9E-06 | 1.19E-07 | 7.04E-10 | 9.41E-13 | 8.39E-17 | 1E-23 | 1.19E-30 | 1E-46 | 0 |
1 | 0.184375 | 0.372064 | 0.226497 | 0.033942 | 0.002698 | 0.000121 | 2.74E-06 | 2.43E-08 | 5.05E-11 | 7.72E-15 | 2.07E-21 | 5.21E-28 | 2.28E-43 | 1 | |
2 | 0.020486 | 0.215405 | 0.27683 | 0.093341 | 0.012718 | 0.000888 | 3.02E-05 | 4.01E-07 | 1.3E-09 | 3.4E-13 | 2.05E-19 | 1.09E-25 | 2.48E-40 | 2 | |
3 | 0.001449 | 0.07936 | 0.215312 | 0.163346 | 0.038154 | 0.004144 | 0.000211 | 4.21E-06 | 2.12E-08 | 9.51E-12 | 1.29E-17 | 1.45E-23 | 1.72E-37 | 3 | |
4 | 7.32E-05 | 0.020884 | 0.119618 | 0.204182 | 0.081759 | 0.013813 | 0.001056 | 3.15E-05 | 2.47E-07 | 1.9E-10 | 5.81E-16 | 1.38E-21 | 8.51E-35 | 4 | |
5 | 2.81E-06 | 0.004177 | 0.050505 | 0.193973 | 0.133151 | 0.034994 | 0.004011 | 0.00018 | 2.19E-06 | 2.89E-09 | 1.99E-14 | 9.93E-20 | 3.2E-32 | 5 | |
6 | 8.51E-08 | 0.000659 | 0.016835 | 0.14548 | 0.171194 | 0.069988 | 0.012034 | 0.000809 | 1.53E-05 | 3.47E-08 | 5.36E-13 | 5.66E-18 | 9.5E-30 | 6 | |
7 | 2.09E-09 | 8.43E-05 | 0.004543 | 0.088327 | 0.178181 | 0.113314 | 0.029225 | 0.002948 | 8.69E-05 | 3.37E-07 | 1.17E-11 | 2.61E-16 | 2.29E-27 | 7 | |
8 | 4.22E-11 | 8.87E-06 | 0.00101 | 0.044164 | 0.152727 | 0.151086 | 0.05845 | 0.008843 | 0.000406 | 2.7E-06 | 2.11E-10 | 9.93E-15 | 4.52E-25 | 8 | |
9 | 7.1E-13 | 7.78E-07 | 0.000187 | 0.018401 | 0.10909 | 0.167873 | 0.097417 | 0.022107 | 0.001577 | 1.8E-05 | 3.17E-09 | 3.14E-13 | 7.47E-23 | 9 | |
10 | 1E-14 | 5.74E-08 | 2.91E-05 | 0.006441 | 0.065454 | 0.156681 | 0.136383 | 0.046424 | 0.005152 | 0.000101 | 3.99E-08 | 8.36E-12 | 1.03E-20 | 10 | |
11 | 1.2E-16 | 3.57E-09 | 3.82E-06 | 0.001903 | 0.033152 | 0.123446 | 0.16118 | 0.082297 | 0.014208 | 0.000476 | 4.24E-07 | 1.88E-10 | 1.21E-18 | 11 | |
12 | 1.21E-18 | 1.88E-10 | 4.24E-07 | 0.000476 | 0.014208 | 0.082297 | 0.16118 | 0.123446 | 0.033152 | 0.001903 | 3.82E-06 | 3.57E-09 | 1.2E-16 | 12 | |
13 | 1.03E-20 | 8.36E-12 | 3.99E-08 | 0.000101 | 0.005152 | 0.046424 | 0.136383 | 0.156681 | 0.065454 | 0.006441 | 2.91E-05 | 5.74E-08 | 1E-14 | 13 | |
14 | 7.47E-23 | 3.14E-13 | 3.17E-09 | 1.8E-05 | 0.001577 | 0.022107 | 0.097417 | 0.167873 | 0.10909 | 0.018401 | 0.000187 | 7.78E-07 | 7.1E-13 | 14 | |
15 | 4.52E-25 | 9.93E-15 | 2.11E-10 | 2.7E-06 | 0.000406 | 0.008843 | 0.05845 | 0.151086 | 0.152727 | 0.044164 | 0.00101 | 8.87E-06 | 4.22E-11 | 15 | |
16 | 2.29E-27 | 2.61E-16 | 1.17E-11 | 3.37E-07 | 8.69E-05 | 0.002948 | 0.029225 | 0.113314 | 0.178181 | 0.088327 | 0.004543 | 8.43E-05 | 2.09E-09 | 16 | |
17 | 9.5E-30 | 5.66E-18 | 5.36E-13 | 3.47E-08 | 1.53E-05 | 0.000809 | 0.012034 | 0.069988 | 0.171194 | 0.14548 | 0.016835 | 0.000659 | 8.51E-08 | 17 | |
18 | 3.2E-32 | 9.93E-20 | 1.99E-14 | 2.89E-09 | 2.19E-06 | 0.00018 | 0.004011 | 0.034994 | 0.133151 | 0.193973 | 0.050505 | 0.004177 | 2.81E-06 | 18 | |
19 | 8.51E-35 | 1.38E-21 | 5.81E-16 | 1.9E-10 | 2.47E-07 | 3.15E-05 | 0.001056 | 0.013813 | 0.081759 | 0.204182 | 0.119618 | 0.020884 | 7.32E-05 | 19 | |
20 | 1.72E-37 | 1.45E-23 | 1.29E-17 | 9.51E-12 | 2.12E-08 | 4.21E-06 | 0.000211 | 0.004144 | 0.038154 | 0.163346 | 0.215312 | 0.07936 | 0.001449 | 20 | |
21 | 2.48E-40 | 1.09E-25 | 2.05E-19 | 3.4E-13 | 1.3E-09 | 4.01E-07 | 3.02E-05 | 0.000888 | 0.012718 | 0.093341 | 0.27683 | 0.215405 | 0.020486 | 21 | |
22 | 2.28E-43 | 5.21E-28 | 2.07E-21 | 7.72E-15 | 5.05E-11 | 2.43E-08 | 2.74E-06 | 0.000121 | 0.002698 | 0.033942 | 0.226497 | 0.372064 | 0.184375 | 22 | |
23 | 1E-46 | 1.19E-30 | 1E-23 | 8.39E-17 | 9.41E-13 | 7.04E-10 | 1.19E-07 | 7.9E-06 | 0.000274 | 0.005903 | 0.088629 | 0.307357 | 0.793614 | 23 | |
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 |
24 | 0 | 0.785678 | 0.291989 | 0.079766 | 0.004722 | 0.000192 | 4.74E-06 | 5.96E-08 | 2.81E-10 | 2.82E-13 | 1.68E-17 | 1E-24 | 5.96E-32 | 1E-48 | 0 |
1 | 0.190467 | 0.368828 | 0.212711 | 0.028334 | 0.001971 | 7.58E-05 | 1.43E-06 | 1.01E-08 | 1.58E-11 | 1.61E-15 | 2.16E-22 | 2.72E-29 | 2.38E-45 | 1 | |
2 | 0.022125 | 0.223238 | 0.271797 | 0.081461 | 0.009712 | 0.000581 | 1.65E-05 | 1.75E-07 | 4.24E-10 | 7.41E-14 | 2.24E-20 | 5.94E-27 | 2.71E-42 | 2 | |
3 | 0.001639 | 0.086162 | 0.221464 | 0.149345 | 0.030523 | 0.002842 | 0.000121 | 1.92E-06 | 7.26E-09 | 2.17E-12 | 1.48E-18 | 8.27E-25 | 1.96E-39 | 3 | |
4 | 8.69E-05 | 0.023808 | 0.129187 | 0.196015 | 0.068678 | 0.009946 | 0.000633 | 1.51E-05 | 8.9E-08 | 4.56E-11 | 6.97E-17 | 8.25E-23 | 1.02E-36 | 4 | |
5 | 3.51E-06 | 0.005012 | 0.057417 | 0.196015 | 0.117733 | 0.026522 | 0.002533 | 9.09E-05 | 8.3E-07 | 7.3E-10 | 2.51E-15 | 6.27E-21 | 4.04E-34 | 5 | |
6 | 1.12E-07 | 0.000835 | 0.020202 | 0.155179 | 0.159781 | 0.055991 | 0.008023 | 0.000432 | 6.13E-06 | 9.25E-09 | 7.15E-14 | 3.77E-19 | 1.27E-31 | 6 | |
7 | 2.92E-09 | 0.000113 | 0.005772 | 0.099758 | 0.176085 | 0.095984 | 0.020629 | 0.001665 | 3.68E-05 | 9.51E-08 | 1.66E-12 | 1.84E-17 | 3.23E-29 | 7 | |
8 | 6.26E-11 | 1.26E-05 | 0.001363 | 0.052996 | 0.160363 | 0.135977 | 0.043837 | 0.005306 | 0.000183 | 8.09E-07 | 3.17E-11 | 7.45E-16 | 6.79E-27 | 8 | |
9 | 1.12E-12 | 1.18E-06 | 0.000269 | 0.023554 | 0.122181 | 0.161158 | 0.077933 | 0.014148 | 0.000757 | 5.75E-06 | 5.07E-10 | 2.51E-14 | 1.19E-24 | 9 | |
10 | 1.7E-14 | 9.34E-08 | 4.49E-05 | 0.008833 | 0.078545 | 0.161158 | 0.1169 | 0.031834 | 0.00265 | 3.45E-05 | 6.84E-09 | 7.17E-13 | 1.77E-22 | 10 | |
11 | 2.19E-16 | 6.26E-09 | 6.34E-06 | 0.00281 | 0.042843 | 0.13674 | 0.148782 | 0.060773 | 0.007869 | 0.000176 | 7.83E-08 | 1.73E-11 | 2.23E-20 | 11 | |
12 | 2.4E-18 | 3.57E-10 | 7.64E-07 | 0.000761 | 0.019891 | 0.098757 | 0.16118 | 0.098757 | 0.019891 | 0.000761 | 7.64E-07 | 3.57E-10 | 2.4E-18 | 12 | |
13 | 2.23E-20 | 1.73E-11 | 7.83E-08 | 0.000176 | 0.007869 | 0.060773 | 0.148782 | 0.13674 | 0.042843 | 0.00281 | 6.34E-06 | 6.26E-09 | 2.19E-16 | 13 | |
14 | 1.77E-22 | 7.17E-13 | 6.84E-09 | 3.45E-05 | 0.00265 | 0.031834 | 0.1169 | 0.161158 | 0.078545 | 0.008833 | 4.49E-05 | 9.34E-08 | 1.7E-14 | 14 | |
15 | 1.19E-24 | 2.51E-14 | 5.07E-10 | 5.75E-06 | 0.000757 | 0.014148 | 0.077933 | 0.161158 | 0.122181 | 0.023554 | 0.000269 | 1.18E-06 | 1.12E-12 | 15 | |
16 | 6.79E-27 | 7.45E-16 | 3.17E-11 | 8.09E-07 | 0.000183 | 0.005306 | 0.043837 | 0.135977 | 0.160363 | 0.052996 | 0.001363 | 1.26E-05 | 6.26E-11 | 16 | |
17 | 3.23E-29 | 1.84E-17 | 1.66E-12 | 9.51E-08 | 3.68E-05 | 0.001665 | 0.020629 | 0.095984 | 0.176085 | 0.099758 | 0.005772 | 0.000113 | 2.92E-09 | 17 | |
18 | 1.27E-31 | 3.77E-19 | 7.15E-14 | 9.25E-09 | 6.13E-06 | 0.000432 | 0.008023 | 0.055991 | 0.159781 | 0.155179 | 0.020202 | 0.000835 | 1.12E-07 | 18 | |
19 | 4.04E-34 | 6.27E-21 | 2.51E-15 | 7.3E-10 | 8.3E-07 | 9.09E-05 | 0.002533 | 0.026522 | 0.117733 | 0.196015 | 0.057417 | 0.005012 | 3.51E-06 | 19 | |
20 | 1.02E-36 | 8.25E-23 | 6.97E-17 | 4.56E-11 | 8.9E-08 | 1.51E-05 | 0.000633 | 0.009946 | 0.068678 | 0.196015 | 0.129187 | 0.023808 | 8.69E-05 | 20 | |
21 | 1.96E-39 | 8.27E-25 | 1.48E-18 | 2.17E-12 | 7.26E-09 | 1.92E-06 | 0.000121 | 0.002842 | 0.030523 | 0.149345 | 0.221464 | 0.086162 | 0.001639 | 21 | |
22 | 2.71E-42 | 5.94E-27 | 2.24E-20 | 7.41E-14 | 4.24E-10 | 1.75E-07 | 1.65E-05 | 0.000581 | 0.009712 | 0.081461 | 0.271797 | 0.223238 | 0.022125 | 22 | |
23 | 2.38E-45 | 2.72E-29 | 2.16E-22 | 1.61E-15 | 1.58E-11 | 1.01E-08 | 1.43E-06 | 7.58E-05 | 0.001971 | 0.028334 | 0.212711 | 0.368828 | 0.190467 | 23 | |
24 | 1E-48 | 5.96E-32 | 1E-24 | 1.68E-17 | 2.82E-13 | 2.81E-10 | 5.96E-08 | 4.74E-06 | 0.000192 | 0.004722 | 0.079766 | 0.291989 | 0.785678 | 24 |