n=2 to 8 |
n=9 to12 |
n=13 to 15 |
|
n=19 to 21 |
n=22 to 24 |
n=25 to 27 |
n=28 to 29 |
|
Binomial Probability n = 16 to 18 | |||||||||||||||
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 |
16 | 0 | 0.851458 | 0.440127 | 0.185302 | 0.028147 | 0.003323 | 0.000282 | 1.53E-05 | 4.29E-07 | 4.3E-09 | 6.55E-12 | 1E-16 | 1.53E-21 | 1E-32 | 0 |
1 | 0.137609 | 0.370633 | 0.329426 | 0.11259 | 0.022788 | 0.003009 | 0.000244 | 1.03E-05 | 1.61E-07 | 4.19E-10 | 1.44E-14 | 4.64E-19 | 1.58E-29 | 1 | |
2 | 0.010425 | 0.146302 | 0.274522 | 0.211106 | 0.073248 | 0.015046 | 0.001831 | 0.000116 | 2.81E-06 | 1.26E-08 | 9.72E-13 | 6.61E-17 | 1.18E-26 | 2 | |
3 | 0.000491 | 0.035934 | 0.142344 | 0.246291 | 0.146496 | 0.04681 | 0.008545 | 0.000812 | 3.06E-05 | 2.35E-07 | 4.08E-11 | 5.86E-15 | 5.43E-24 | 3 | |
4 | 1.61E-05 | 0.006147 | 0.051402 | 0.200111 | 0.204048 | 0.101421 | 0.027771 | 0.003957 | 0.000232 | 3.05E-06 | 1.19E-09 | 3.62E-13 | 1.75E-21 | 4 | |
5 | 3.91E-07 | 0.000776 | 0.013707 | 0.120067 | 0.209878 | 0.162273 | 0.06665 | 0.014246 | 0.0013 | 2.93E-05 | 2.58E-08 | 1.65E-11 | 4.15E-19 | 5 | |
6 | 7.24E-09 | 7.49E-05 | 0.002792 | 0.055031 | 0.164904 | 0.198334 | 0.122192 | 0.039177 | 0.005563 | 0.000215 | 4.26E-07 | 5.75E-10 | 7.54E-17 | 6 | |
7 | 1.05E-10 | 5.63E-06 | 0.000443 | 0.019654 | 0.100962 | 0.188889 | 0.174561 | 0.083951 | 0.018544 | 0.001228 | 5.47E-06 | 1.56E-08 | 1.07E-14 | 7 | |
8 | 1.19E-12 | 3.34E-07 | 5.54E-05 | 0.005528 | 0.048678 | 0.141667 | 0.196381 | 0.141667 | 0.048678 | 0.005528 | 5.54E-05 | 3.34E-07 | 1.19E-12 | 8 | |
9 | 1.07E-14 | 1.56E-08 | 5.47E-06 | 0.001228 | 0.018544 | 0.083951 | 0.174561 | 0.188889 | 0.100962 | 0.019654 | 0.000443 | 5.63E-06 | 1.05E-10 | 9 | |
10 | 7.54E-17 | 5.75E-10 | 4.26E-07 | 0.000215 | 0.005563 | 0.039177 | 0.122192 | 0.198334 | 0.164904 | 0.055031 | 0.002792 | 7.49E-05 | 7.24E-09 | 10 | |
11 | 4.15E-19 | 1.65E-11 | 2.58E-08 | 2.93E-05 | 0.0013 | 0.014246 | 0.06665 | 0.162273 | 0.209878 | 0.120067 | 0.013707 | 0.000776 | 3.91E-07 | 11 | |
12 | 1.75E-21 | 3.62E-13 | 1.19E-09 | 3.05E-06 | 0.000232 | 0.003957 | 0.027771 | 0.101421 | 0.204048 | 0.200111 | 0.051402 | 0.006147 | 1.61E-05 | 12 | |
13 | 5.43E-24 | 5.86E-15 | 4.08E-11 | 2.35E-07 | 3.06E-05 | 0.000812 | 0.008545 | 0.04681 | 0.146496 | 0.246291 | 0.142344 | 0.035934 | 0.000491 | 13 | |
14 | 1.18E-26 | 6.61E-17 | 9.72E-13 | 1.26E-08 | 2.81E-06 | 0.000116 | 0.001831 | 0.015046 | 0.073248 | 0.211106 | 0.274522 | 0.146302 | 0.010425 | 14 | |
15 | 1.58E-29 | 4.64E-19 | 1.44E-14 | 4.19E-10 | 1.61E-07 | 1.03E-05 | 0.000244 | 0.003009 | 0.022788 | 0.11259 | 0.329426 | 0.370633 | 0.137609 | 15 | |
16 | 1E-32 | 1.53E-21 | 1E-16 | 6.55E-12 | 4.3E-09 | 4.29E-07 | 1.53E-05 | 0.000282 | 0.003323 | 0.028147 | 0.185302 | 0.440127 | 0.851458 | 16 | |
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 |
17 | 0 | 0.842943 | 0.41812 | 0.166772 | 0.022518 | 0.002326 | 0.000169 | 7.63E-06 | 1.72E-07 | 1.29E-09 | 1.31E-12 | 1E-17 | 7.63E-23 | 1E-34 | 0 |
1 | 0.144748 | 0.374108 | 0.315013 | 0.095701 | 0.016949 | 0.001918 | 0.00013 | 4.38E-06 | 5.12E-08 | 8.91E-11 | 1.53E-15 | 2.46E-20 | 1.68E-31 | 1 | |
2 | 0.011697 | 0.157519 | 0.280012 | 0.191403 | 0.05811 | 0.010231 | 0.001038 | 5.26E-05 | 9.56E-07 | 2.85E-09 | 1.1E-13 | 3.75E-18 | 1.33E-28 | 2 | |
3 | 0.000591 | 0.041452 | 0.155562 | 0.239254 | 0.124522 | 0.034104 | 0.005188 | 0.000394 | 1.12E-05 | 5.7E-08 | 4.96E-12 | 3.56E-16 | 6.6E-26 | 3 | |
4 | 2.09E-05 | 0.007636 | 0.060496 | 0.209347 | 0.186783 | 0.079576 | 0.018158 | 0.00207 | 9.11E-05 | 7.99E-07 | 1.56E-10 | 2.37E-14 | 2.29E-23 | 4 | |
5 | 5.48E-07 | 0.001045 | 0.017477 | 0.136076 | 0.208129 | 0.137932 | 0.047211 | 0.008073 | 0.000553 | 8.31E-06 | 3.65E-09 | 1.17E-12 | 5.88E-21 | 5 | |
6 | 1.11E-08 | 0.00011 | 0.003884 | 0.068038 | 0.178396 | 0.183909 | 0.094421 | 0.024219 | 0.002579 | 6.64E-05 | 6.58E-08 | 4.44E-11 | 1.17E-18 | 6 | |
7 | 1.76E-10 | 9.1E-06 | 0.000678 | 0.026729 | 0.120145 | 0.192667 | 0.148376 | 0.057087 | 0.009457 | 0.000418 | 9.3E-07 | 1.33E-09 | 1.81E-16 | 7 | |
8 | 2.22E-12 | 5.98E-07 | 9.42E-05 | 0.008353 | 0.064363 | 0.160556 | 0.185471 | 0.107037 | 0.027584 | 0.002088 | 1.05E-05 | 3.15E-08 | 2.24E-14 | 8 | |
9 | 2.24E-14 | 3.15E-08 | 1.05E-05 | 0.002088 | 0.027584 | 0.107037 | 0.185471 | 0.160556 | 0.064363 | 0.008353 | 9.42E-05 | 5.98E-07 | 2.22E-12 | 9 | |
10 | 1.81E-16 | 1.33E-09 | 9.3E-07 | 0.000418 | 0.009457 | 0.057087 | 0.148376 | 0.192667 | 0.120145 | 0.026729 | 0.000678 | 9.1E-06 | 1.76E-10 | 10 | |
11 | 1.17E-18 | 4.44E-11 | 6.58E-08 | 6.64E-05 | 0.002579 | 0.024219 | 0.094421 | 0.183909 | 0.178396 | 0.068038 | 0.003884 | 0.00011 | 1.11E-08 | 11 | |
12 | 5.88E-21 | 1.17E-12 | 3.65E-09 | 8.31E-06 | 0.000553 | 0.008073 | 0.047211 | 0.137932 | 0.208129 | 0.136076 | 0.017477 | 0.001045 | 5.48E-07 | 12 | |
13 | 2.29E-23 | 2.37E-14 | 1.56E-10 | 7.99E-07 | 9.11E-05 | 0.00207 | 0.018158 | 0.079576 | 0.186783 | 0.209347 | 0.060496 | 0.007636 | 2.09E-05 | 13 | |
14 | 6.6E-26 | 3.56E-16 | 4.96E-12 | 5.7E-08 | 1.12E-05 | 0.000394 | 0.005188 | 0.034104 | 0.124522 | 0.239254 | 0.155562 | 0.041452 | 0.000591 | 14 | |
15 | 1.33E-28 | 3.75E-18 | 1.1E-13 | 2.85E-09 | 9.56E-07 | 5.26E-05 | 0.001038 | 0.010231 | 0.05811 | 0.191403 | 0.280012 | 0.157519 | 0.011697 | 15 | |
16 | 1.68E-31 | 2.46E-20 | 1.53E-15 | 8.91E-11 | 5.12E-08 | 4.38E-06 | 0.00013 | 0.001918 | 0.016949 | 0.095701 | 0.315013 | 0.374108 | 0.144748 | 16 | |
17 | 1E-34 | 7.63E-23 | 1E-17 | 1.31E-12 | 1.29E-09 | 1.72E-07 | 7.63E-06 | 0.000169 | 0.002326 | 0.022518 | 0.166772 | 0.41812 | 0.842943 | 17 | |
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 |
18 | 0 | 0.834514 | 0.397214 | 0.150095 | 0.018014 | 0.001628 | 0.000102 | 3.81E-06 | 6.87E-08 | 3.87E-10 | 2.62E-13 | 1E-18 | 3.81E-24 | 1E-36 | 0 |
1 | 0.15173 | 0.376308 | 0.300189 | 0.081065 | 0.012562 | 0.001219 | 6.87E-05 | 1.86E-06 | 1.63E-08 | 1.89E-11 | 1.62E-16 | 1.3E-21 | 1.78E-33 | 1 | |
2 | 0.013027 | 0.168348 | 0.283512 | 0.172263 | 0.045762 | 0.006906 | 0.000584 | 2.37E-05 | 3.23E-07 | 6.42E-10 | 1.24E-14 | 2.11E-19 | 1.5E-30 | 2 | |
3 | 0.000702 | 0.047256 | 0.168007 | 0.229684 | 0.104598 | 0.024555 | 0.003113 | 0.000189 | 4.02E-06 | 1.37E-08 | 5.95E-13 | 2.14E-17 | 7.92E-28 | 3 | |
4 | 2.66E-05 | 0.009327 | 0.070003 | 0.215328 | 0.168104 | 0.061387 | 0.011673 | 0.001065 | 3.51E-05 | 2.05E-07 | 2.01E-11 | 1.52E-15 | 2.94E-25 | 4 | |
5 | 7.52E-07 | 0.001374 | 0.021779 | 0.15073 | 0.201725 | 0.11459 | 0.032684 | 0.004471 | 0.00023 | 2.3E-06 | 5.06E-10 | 8.09E-14 | 8.15E-23 | 5 | |
6 | 1.65E-08 | 0.000157 | 0.005243 | 0.081645 | 0.187316 | 0.165518 | 0.070816 | 0.014531 | 0.001161 | 1.99E-05 | 9.87E-09 | 3.33E-12 | 1.75E-20 | 6 | |
7 | 2.85E-10 | 1.41E-05 | 0.000999 | 0.034991 | 0.13762 | 0.189164 | 0.121399 | 0.037366 | 0.004643 | 0.000137 | 1.52E-07 | 1.09E-10 | 2.97E-18 | 7 | |
8 | 3.96E-12 | 1.02E-06 | 0.000153 | 0.012028 | 0.081098 | 0.1734 | 0.166924 | 0.077067 | 0.014895 | 0.000752 | 1.88E-06 | 2.83E-09 | 4.04E-16 | 8 | |
9 | 4.44E-14 | 5.98E-08 | 1.88E-05 | 0.003341 | 0.038618 | 0.128445 | 0.185471 | 0.128445 | 0.038618 | 0.003341 | 1.88E-05 | 5.98E-08 | 4.44E-14 | 9 | |
10 | 4.04E-16 | 2.83E-09 | 1.88E-06 | 0.000752 | 0.014895 | 0.077067 | 0.166924 | 0.1734 | 0.081098 | 0.012028 | 0.000153 | 1.02E-06 | 3.96E-12 | 10 | |
11 | 2.97E-18 | 1.09E-10 | 1.52E-07 | 0.000137 | 0.004643 | 0.037366 | 0.121399 | 0.189164 | 0.13762 | 0.034991 | 0.000999 | 1.41E-05 | 2.85E-10 | 11 | |
12 | 1.75E-20 | 3.33E-12 | 9.87E-09 | 1.99E-05 | 0.001161 | 0.014531 | 0.070816 | 0.165518 | 0.187316 | 0.081645 | 0.005243 | 0.000157 | 1.65E-08 | 12 | |
13 | 8.15E-23 | 8.09E-14 | 5.06E-10 | 2.3E-06 | 0.00023 | 0.004471 | 0.032684 | 0.11459 | 0.201725 | 0.15073 | 0.021779 | 0.001374 | 7.52E-07 | 13 | |
14 | 2.94E-25 | 1.52E-15 | 2.01E-11 | 2.05E-07 | 3.51E-05 | 0.001065 | 0.011673 | 0.061387 | 0.168104 | 0.215328 | 0.070003 | 0.009327 | 2.66E-05 | 14 | |
15 | 7.92E-28 | 2.14E-17 | 5.95E-13 | 1.37E-08 | 4.02E-06 | 0.000189 | 0.003113 | 0.024555 | 0.104598 | 0.229684 | 0.168007 | 0.047256 | 0.000702 | 15 | |
16 | 1.5E-30 | 2.11E-19 | 1.24E-14 | 6.42E-10 | 3.23E-07 | 2.37E-05 | 0.000584 | 0.006906 | 0.045762 | 0.172263 | 0.283512 | 0.168348 | 0.013027 | 16 | |
17 | 1.78E-33 | 1.3E-21 | 1.62E-16 | 1.89E-11 | 1.63E-08 | 1.86E-06 | 6.87E-05 | 0.001219 | 0.012562 | 0.081065 | 0.300189 | 0.376308 | 0.15173 | 17 | |
18 | 1E-36 | 3.81E-24 | 1E-18 | 2.62E-13 | 3.87E-10 | 6.87E-08 | 3.81E-06 | 0.000102 | 0.001628 | 0.018014 | 0.150095 | 0.397214 | 0.834514 | 18 |