n=2 to 8 |
n=9 to12 |
n=13 to 15 |
n=16 to 18 |
|
n=22 to 24 |
n=25 to 27 |
n=28 to 29 |
|
Binomial Probability n = 19 to 21 | |||||||||||||||
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 |
19 | 0 | 0.826169 | 0.377354 | 0.135085 | 0.014412 | 0.00114 | 6.09E-05 | 1.91E-06 | 2.75E-08 | 1.16E-10 | 5.24E-14 | 1E-19 | 1.91E-25 | 1E-38 | 0 |
1 | 0.158558 | 0.377354 | 0.28518 | 0.068455 | 0.009282 | 0.000772 | 3.62E-05 | 7.83E-07 | 5.15E-09 | 3.98E-12 | 1.71E-17 | 6.89E-23 | 1.88E-35 | 1 | |
2 | 0.014414 | 0.178746 | 0.28518 | 0.154023 | 0.035802 | 0.004631 | 0.000326 | 1.06E-05 | 1.08E-07 | 1.43E-10 | 1.39E-15 | 1.18E-20 | 1.68E-32 | 2 | |
3 | 0.000825 | 0.05331 | 0.179558 | 0.218199 | 0.086947 | 0.017495 | 0.001848 | 8.99E-05 | 1.43E-06 | 3.25E-09 | 7.06E-14 | 1.27E-18 | 9.4E-30 | 3 | |
4 | 3.33E-05 | 0.011223 | 0.079803 | 0.218199 | 0.149053 | 0.046654 | 0.007393 | 0.000539 | 1.34E-05 | 5.2E-08 | 2.54E-12 | 9.63E-17 | 3.72E-27 | 4 | |
5 | 1.01E-06 | 0.001772 | 0.026601 | 0.16365 | 0.191639 | 0.093309 | 0.022179 | 0.002427 | 9.35E-05 | 6.24E-07 | 6.87E-11 | 5.49E-15 | 1.11E-24 | 5 | |
6 | 2.38E-08 | 0.000218 | 0.006897 | 0.095462 | 0.191639 | 0.145147 | 0.05175 | 0.008495 | 0.000509 | 5.83E-06 | 1.44E-09 | 2.43E-13 | 2.55E-22 | 6 | |
7 | 4.47E-10 | 2.13E-05 | 0.001423 | 0.044322 | 0.152529 | 0.179706 | 0.096107 | 0.023665 | 0.002205 | 4.33E-05 | 2.41E-08 | 8.59E-12 | 4.7E-20 | 7 | |
8 | 6.77E-12 | 1.68E-06 | 0.000237 | 0.016621 | 0.098054 | 0.179706 | 0.144161 | 0.053246 | 0.007719 | 0.00026 | 3.25E-07 | 2.45E-10 | 6.97E-18 | 8 | |
9 | 8.35E-14 | 1.08E-07 | 3.22E-05 | 0.005079 | 0.051362 | 0.146427 | 0.176197 | 0.097618 | 0.022012 | 0.00127 | 3.58E-06 | 5.69E-09 | 8.44E-16 | 9 | |
10 | 8.44E-16 | 5.69E-09 | 3.58E-06 | 0.00127 | 0.022012 | 0.097618 | 0.176197 | 0.146427 | 0.051362 | 0.005079 | 3.22E-05 | 1.08E-07 | 8.35E-14 | 10 | |
11 | 6.97E-18 | 2.45E-10 | 3.25E-07 | 0.00026 | 0.007719 | 0.053246 | 0.144161 | 0.179706 | 0.098054 | 0.016621 | 0.000237 | 1.68E-06 | 6.77E-12 | 11 | |
12 | 4.7E-20 | 8.59E-12 | 2.41E-08 | 4.33E-05 | 0.002205 | 0.023665 | 0.096107 | 0.179706 | 0.152529 | 0.044322 | 0.001423 | 2.13E-05 | 4.47E-10 | 12 | |
13 | 2.55E-22 | 2.43E-13 | 1.44E-09 | 5.83E-06 | 0.000509 | 0.008495 | 0.05175 | 0.145147 | 0.191639 | 0.095462 | 0.006897 | 0.000218 | 2.38E-08 | 13 | |
14 | 1.11E-24 | 5.49E-15 | 6.87E-11 | 6.24E-07 | 9.35E-05 | 0.002427 | 0.022179 | 0.093309 | 0.191639 | 0.16365 | 0.026601 | 0.001772 | 1.01E-06 | 14 | |
15 | 3.72E-27 | 9.63E-17 | 2.54E-12 | 5.2E-08 | 1.34E-05 | 0.000539 | 0.007393 | 0.046654 | 0.149053 | 0.218199 | 0.079803 | 0.011223 | 3.33E-05 | 15 | |
16 | 9.4E-30 | 1.27E-18 | 7.06E-14 | 3.25E-09 | 1.43E-06 | 8.99E-05 | 0.001848 | 0.017495 | 0.086947 | 0.218199 | 0.179558 | 0.05331 | 0.000825 | 16 | |
17 | 1.68E-32 | 1.18E-20 | 1.39E-15 | 1.43E-10 | 1.08E-07 | 1.06E-05 | 0.000326 | 0.004631 | 0.035802 | 0.154023 | 0.28518 | 0.178746 | 0.014414 | 17 | |
18 | 1.88E-35 | 6.89E-23 | 1.71E-17 | 3.98E-12 | 5.15E-09 | 7.83E-07 | 3.62E-05 | 0.000772 | 0.009282 | 0.068455 | 0.28518 | 0.377354 | 0.158558 | 18 | |
19 | 1E-38 | 1.91E-25 | 1E-19 | 5.24E-14 | 1.16E-10 | 2.75E-08 | 1.91E-06 | 6.09E-05 | 0.00114 | 0.014412 | 0.135085 | 0.377354 | 0.826169 | 19 | |
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 |
20 | 0 | 0.817907 | 0.358486 | 0.121577 | 0.011529 | 0.000798 | 3.66E-05 | 9.54E-07 | 1.1E-08 | 3.49E-11 | 1.05E-14 | 1E-20 | 9.54E-27 | 1E-40 | 0 |
1 | 0.165234 | 0.377354 | 0.27017 | 0.057646 | 0.006839 | 0.000487 | 1.91E-05 | 3.3E-07 | 1.63E-09 | 8.39E-13 | 1.8E-18 | 3.62E-24 | 1.98E-37 | 1 | |
2 | 0.015856 | 0.188677 | 0.28518 | 0.136909 | 0.027846 | 0.003087 | 0.000181 | 4.7E-06 | 3.61E-08 | 3.19E-11 | 1.54E-16 | 6.54E-22 | 1.86E-34 | 2 | |
3 | 0.000961 | 0.059582 | 0.19012 | 0.205364 | 0.071604 | 0.01235 | 0.001087 | 4.23E-05 | 5.05E-07 | 7.65E-10 | 8.31E-15 | 7.46E-20 | 1.11E-31 | 3 | |
4 | 4.13E-05 | 0.013328 | 0.089779 | 0.218199 | 0.130421 | 0.034991 | 0.004621 | 0.00027 | 5.01E-06 | 1.3E-08 | 3.18E-13 | 6.02E-18 | 4.65E-29 | 4 | |
5 | 1.33E-06 | 0.002245 | 0.031921 | 0.17456 | 0.178863 | 0.074647 | 0.014786 | 0.001294 | 3.74E-05 | 1.66E-07 | 9.15E-12 | 3.66E-16 | 1.47E-26 | 5 | |
6 | 3.37E-08 | 0.000295 | 0.008867 | 0.1091 | 0.191639 | 0.124412 | 0.036964 | 0.004854 | 0.000218 | 1.66E-06 | 2.06E-10 | 1.74E-14 | 3.65E-24 | 6 | |
7 | 6.8E-10 | 3.11E-05 | 0.00197 | 0.05455 | 0.164262 | 0.165882 | 0.073929 | 0.014563 | 0.001018 | 1.33E-05 | 3.71E-09 | 6.61E-13 | 7.23E-22 | 7 | |
8 | 1.12E-11 | 2.66E-06 | 0.000356 | 0.022161 | 0.114397 | 0.179706 | 0.120134 | 0.035497 | 0.003859 | 8.66E-05 | 5.42E-08 | 2.04E-11 | 1.16E-19 | 8 | |
9 | 1.5E-13 | 1.87E-07 | 5.27E-05 | 0.007387 | 0.06537 | 0.159738 | 0.160179 | 0.070995 | 0.012007 | 0.000462 | 6.51E-07 | 5.17E-10 | 1.53E-17 | 9 | |
10 | 1.67E-15 | 1.08E-08 | 6.44E-06 | 0.002031 | 0.030817 | 0.117142 | 0.176197 | 0.117142 | 0.030817 | 0.002031 | 6.44E-06 | 1.08E-08 | 1.67E-15 | 10 | |
11 | 1.53E-17 | 5.17E-10 | 6.51E-07 | 0.000462 | 0.012007 | 0.070995 | 0.160179 | 0.159738 | 0.06537 | 0.007387 | 5.27E-05 | 1.87E-07 | 1.5E-13 | 11 | |
12 | 1.16E-19 | 2.04E-11 | 5.42E-08 | 8.66E-05 | 0.003859 | 0.035497 | 0.120134 | 0.179706 | 0.114397 | 0.022161 | 0.000356 | 2.66E-06 | 1.12E-11 | 12 | |
13 | 7.23E-22 | 6.61E-13 | 3.71E-09 | 1.33E-05 | 0.001018 | 0.014563 | 0.073929 | 0.165882 | 0.164262 | 0.05455 | 0.00197 | 3.11E-05 | 6.8E-10 | 13 | |
14 | 3.65E-24 | 1.74E-14 | 2.06E-10 | 1.66E-06 | 0.000218 | 0.004854 | 0.036964 | 0.124412 | 0.191639 | 0.1091 | 0.008867 | 0.000295 | 3.37E-08 | 14 | |
15 | 1.47E-26 | 3.66E-16 | 9.15E-12 | 1.66E-07 | 3.74E-05 | 0.001294 | 0.014786 | 0.074647 | 0.178863 | 0.17456 | 0.031921 | 0.002245 | 1.33E-06 | 15 | |
16 | 4.65E-29 | 6.02E-18 | 3.18E-13 | 1.3E-08 | 5.01E-06 | 0.00027 | 0.004621 | 0.034991 | 0.130421 | 0.218199 | 0.089779 | 0.013328 | 4.13E-05 | 16 | |
17 | 1.11E-31 | 7.46E-20 | 8.31E-15 | 7.65E-10 | 5.05E-07 | 4.23E-05 | 0.001087 | 0.01235 | 0.071604 | 0.205364 | 0.19012 | 0.059582 | 0.000961 | 17 | |
18 | 1.86E-34 | 6.54E-22 | 1.54E-16 | 3.19E-11 | 3.61E-08 | 4.7E-06 | 0.000181 | 0.003087 | 0.027846 | 0.136909 | 0.28518 | 0.188677 | 0.015856 | 18 | |
19 | 1.98E-37 | 3.62E-24 | 1.8E-18 | 8.39E-13 | 1.63E-09 | 3.3E-07 | 1.91E-05 | 0.000487 | 0.006839 | 0.057646 | 0.27017 | 0.377354 | 0.165234 | 19 | |
20 | 1E-40 | 9.54E-27 | 1E-20 | 1.05E-14 | 3.49E-11 | 1.1E-08 | 9.54E-07 | 3.66E-05 | 0.000798 | 0.011529 | 0.121577 | 0.358486 | 0.817907 | 20 | |
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 |
21 | 0 | 0.809728 | 0.340562 | 0.109419 | 0.009223 | 0.000559 | 2.19E-05 | 4.77E-07 | 4.4E-09 | 1.05E-11 | 2.1E-15 | 1E-21 | 4.77E-28 | 1E-42 | 0 |
1 | 0.17176 | 0.37641 | 0.255311 | 0.048423 | 0.005027 | 0.000307 | 1E-05 | 1.39E-07 | 5.13E-10 | 1.76E-13 | 1.89E-19 | 1.9E-25 | 2.08E-39 | 1 | |
2 | 0.01735 | 0.198111 | 0.283679 | 0.121057 | 0.021544 | 0.002047 | 0.0001 | 2.08E-06 | 1.2E-08 | 7.05E-12 | 1.7E-17 | 3.61E-23 | 2.06E-36 | 2 | |
3 | 0.00111 | 0.066037 | 0.199626 | 0.191673 | 0.058476 | 0.008645 | 0.000634 | 1.97E-05 | 1.77E-07 | 1.79E-10 | 9.7E-16 | 4.35E-21 | 1.29E-33 | 3 | |
4 | 5.05E-05 | 0.01564 | 0.099813 | 0.215632 | 0.112776 | 0.025934 | 0.002854 | 0.000133 | 1.86E-06 | 3.21E-09 | 3.93E-14 | 3.72E-19 | 5.75E-31 | 4 | |
5 | 1.73E-06 | 0.002799 | 0.037707 | 0.183287 | 0.16433 | 0.058785 | 0.009703 | 0.00068 | 1.47E-05 | 4.37E-08 | 1.2E-12 | 2.4E-17 | 1.94E-28 | 5 | |
6 | 4.67E-08 | 0.000393 | 0.011172 | 0.122192 | 0.187806 | 0.104506 | 0.025875 | 0.002718 | 9.16E-05 | 4.66E-07 | 2.88E-11 | 1.22E-15 | 5.11E-26 | 6 | |
7 | 1.01E-09 | 4.43E-05 | 0.00266 | 0.06546 | 0.172475 | 0.149294 | 0.055447 | 0.008738 | 0.000458 | 4E-06 | 5.56E-10 | 4.96E-14 | 1.08E-23 | 7 | |
8 | 1.79E-11 | 4.08E-06 | 0.000517 | 0.028639 | 0.129356 | 0.174176 | 0.097032 | 0.022937 | 0.00187 | 2.8E-05 | 8.76E-09 | 1.65E-12 | 1.88E-21 | 8 | |
9 | 2.61E-13 | 3.1E-07 | 8.3E-05 | 0.010342 | 0.080078 | 0.167725 | 0.140157 | 0.049696 | 0.006303 | 0.000162 | 1.14E-07 | 4.52E-11 | 2.69E-19 | 9 | |
10 | 3.16E-15 | 1.96E-08 | 1.11E-05 | 0.003103 | 0.041183 | 0.13418 | 0.168188 | 0.089454 | 0.01765 | 0.000776 | 1.23E-06 | 1.03E-09 | 3.19E-17 | 10 | |
11 | 3.19E-17 | 1.03E-09 | 1.23E-06 | 0.000776 | 0.01765 | 0.089454 | 0.168188 | 0.13418 | 0.041183 | 0.003103 | 1.11E-05 | 1.96E-08 | 3.16E-15 | 11 | |
12 | 2.69E-19 | 4.52E-11 | 1.14E-07 | 0.000162 | 0.006303 | 0.049696 | 0.140157 | 0.167725 | 0.080078 | 0.010342 | 8.3E-05 | 3.1E-07 | 2.61E-13 | 12 | |
13 | 1.88E-21 | 1.65E-12 | 8.76E-09 | 2.8E-05 | 0.00187 | 0.022937 | 0.097032 | 0.174176 | 0.129356 | 0.028639 | 0.000517 | 4.08E-06 | 1.79E-11 | 13 | |
14 | 1.08E-23 | 4.96E-14 | 5.56E-10 | 4E-06 | 0.000458 | 0.008738 | 0.055447 | 0.149294 | 0.172475 | 0.06546 | 0.00266 | 4.43E-05 | 1.01E-09 | 14 | |
15 | 5.11E-26 | 1.22E-15 | 2.88E-11 | 4.66E-07 | 9.16E-05 | 0.002718 | 0.025875 | 0.104506 | 0.187806 | 0.122192 | 0.011172 | 0.000393 | 4.67E-08 | 15 | |
16 | 1.94E-28 | 2.4E-17 | 1.2E-12 | 4.37E-08 | 1.47E-05 | 0.00068 | 0.009703 | 0.058785 | 0.16433 | 0.183287 | 0.037707 | 0.002799 | 1.73E-06 | 16 | |
17 | 5.75E-31 | 3.72E-19 | 3.93E-14 | 3.21E-09 | 1.86E-06 | 0.000133 | 0.002854 | 0.025934 | 0.112776 | 0.215632 | 0.099813 | 0.01564 | 5.05E-05 | 17 | |
18 | 1.29E-33 | 4.35E-21 | 9.7E-16 | 1.79E-10 | 1.77E-07 | 1.97E-05 | 0.000634 | 0.008645 | 0.058476 | 0.191673 | 0.199626 | 0.066037 | 0.00111 | 18 | |
19 | 2.06E-36 | 3.61E-23 | 1.7E-17 | 7.05E-12 | 1.2E-08 | 2.08E-06 | 0.0001 | 0.002047 | 0.021544 | 0.121057 | 0.283679 | 0.198111 | 0.01735 | 19 | |
20 | 2.08E-39 | 1.9E-25 | 1.89E-19 | 1.76E-13 | 5.13E-10 | 1.39E-07 | 1E-05 | 0.000307 | 0.005027 | 0.048423 | 0.255311 | 0.37641 | 0.17176 | 20 | |
21 | 1E-42 | 4.77E-28 | 1E-21 | 2.1E-15 | 1.05E-11 | 4.4E-09 | 4.77E-07 | 2.19E-05 | 0.000559 | 0.009223 | 0.109419 | 0.340562 | 0.809728 | 21 |