Appendix ATables
Table A: Binomial distribution – probabilities for the in‐control case
Each table entry (i) labelled P is the tail probability, i.e., left tail and right tail (ii) with probability of success on each trial.
n | Left tail | P | Right tail | n | Left tail | P | Right tail | n | Left tail | P | Right tail |
1 | 0 | 0.5000 | 1 | 12 | 0 | 0.0002 | 12 | 17 | 0 | 0.0000 | 17 |
2 | 0 | 0.2500 | 2 | 1 | 0.0032 | 11 | 1 | 0.0001 | 16 | ||
1 | 0.7500 | 1 | 2 | 0.0193 | 10 | 2 | 0.0012 | 15 | |||
3 | 0 | 0.1250 | 3 | 3 | 0.0730 | 9 | 3 | 0.0064 | 14 | ||
1 | 0.5000 | 2 | 4 | 0.1938 | 8 | 4 | 0.0245 | 13 | |||
4 | 0 | 0.0625 | 4 | 5 | 0.3872 | 7 | 5 | 0.0717 | 12 | ||
1 | 0.3125 | 3 | 6 | 0.6128 | 6 | 6 | 0.1662 | 11 | |||
2 | 0.6875 | 2 | 13 | 0 | 0.0001 | 13 | 7 | 0.3145 | 10 | ||
5 | 0 | 0.0312 | 5 | 1 | 0.0017 | 12 | 8 | 0.5000 | 9 | ||
1 | 0.1875 | 4 | 2 | 0.0112 | 11 | 18 | 0 | 0.0000 | 18 | ||
2 | 0.5000 | 3 | 3 | 0.0461 | 10 | 1 | 0.0001 | 17 | |||
6 | 0 | 0.0156 | 6 | 4 | 0.1334 | 9 | 2 | 0.0007 | 16 | ||
1 | 0.1094 | 5 | 5 | 0.2905 | 8 | 3 | 0.0038 | 15 | |||
2 | 0.3438 | 4 | 6 | 0.5000 | 7 | 4 | 0.0154 | 14 | |||
3 | 0.6562 | 3 | 14 | 0 | 0.0000 | 14 | 5 | 0.0481 | 13 | ||
7 | 0 | 0.0078 | 7 | 1 | 0.0009 | 13 | 6 | 0.1189 | 12 | ||
1 | 0.0625 | 6 | 2 | 0.0065 | 12 | 7 | 0.2403 | 11 | |||
2 | 0.2266 | 5 | 3 | 0.0287 | 11 | 8 | 0.4073 | 10 | |||
3 | 0.5000 | 4 | 4 | 0.0898 | 10 | 9 | 0.5927 | 9 | |||
8 | 0 | 0.0039 | 8 | 5 | 0.2120 | 9 | 19 | 0 | 0.0000 | 19 | |
1 | 0.0352 | 7 | 6 | 0.3953 | 8 | 1 | 0.0000 | 18 | |||
2 | 0.1445 | 6 | 7 | 0.6047 | 7 | 2 | 0.0004 | 17 | |||
3 |
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