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문서의 이전 판입니다!

이항분포표

$$ P(X \leq k) = \sum^{k}_{x=0} nCx \ p^{x} (1-p)^{n-x} \ , \ k=0, 1, ... , n-1 $$

  • $ p \geq 0.5 $일 때는 $P(X \leq k) = 1 - P(Y \leq n-k-1)$의 관계를 이용
  • 여기서 $X \sim b(n,p), \ Y \sim b(n,1-p)$임
$n$ $k$ $p$
0.01 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5
2 0 0.980100 0.902500 0.810000 0.722500 0.640000 0.562500 0.490000 0.422500 0.360000 0.302500 0.250000
1 0.999900 0.997500 0.990000 0.977500 0.960000 0.937500 0.910000 0.877500 0.840000 0.797500 0.750000
3 0 0.970299 0.857375 0.729000 0.614125 0.512000 0.421875 0.343000 0.274625 0.216000 0.166375 0.125000
1 0.999702 0.992750 0.972000 0.939250 0.896000 0.843750 0.784000 0.718250 0.648000 0.574750 0.500000
2 0.999999 0.999875 0.999000 0.996625 0.992000 0.984375 0.973000 0.957125 0.936000 0.908875 0.875000
4 0 0.960596 0.814506 0.656100 0.522006 0.409600 0.316406 0.240100 0.178506 0.129600 0.091506 0.062500
1 0.999408 0.985981 0.947700 0.890481 0.819200 0.738281 0.651700 0.562981 0.475200 0.390981 0.312500
2 0.999996 0.999519 0.996300 0.988019 0.972800 0.949219 0.916300 0.873519 0.820800 0.758519 0.687500
3 1.000000 0.999994 0.999900 0.999494 0.998400 0.996094 0.991900 0.984994 0.974400 0.958994 0.937500
5 0 0.950990 0.773781 0.590490 0.443705 0.327680 0.237305 0.168070 0.116029 0.077760 0.050328 0.031250
1 0.999020 0.977408 0.918540 0.835210 0.737280 0.632813 0.528220 0.428415 0.336960 0.256218 0.187500
2 0.999990 0.998842 0.991440 0.973388 0.942080 0.896484 0.836920 0.764831 0.682560 0.593127 0.500000
3 1.000000 0.999970 0.999540 0.997773 0.993280 0.984375 0.969220 0.945978 0.912960 0.868780 0.812500
4 1.000000 1.000000 0.999990 0.999924 0.999680 0.999023 0.997570 0.994748 0.989760 0.981547 0.968750
6 0 0.941480 0.735092 0.531441 0.377150 0.262144 0.177979 0.117649 0.075419 0.046656 0.027681 0.015625
1 0.998540 0.967226 0.885735 0.776484 0.655360 0.533936 0.420175 0.319080 0.233280 0.163567 0.109375
2 0.999980 0.997770 0.984150 0.952661 0.901120 0.830566 0.744310 0.647085 0.544320 0.441518 0.343750
3 1.000000 0.999914 0.998730 0.994115 0.983040 0.962402 0.929530 0.882576 0.820800 0.744736 0.656250
4 1.000000 0.999998 0.999945 0.999601 0.998400 0.995361 0.989065 0.977678 0.959040 0.930802 0.890625
5 1.000000 1.000000 0.999999 0.999989 0.999936 0.999756 0.999271 0.998162 0.995904 0.991696 0.984375
7 0 0.932065 0.698337 0.478297 0.320577 0.209715 0.133484 0.082354 0.049022 0.027994 0.015224 0.007813
1 0.997969 0.955619 0.850306 0.716584 0.576717 0.444946 0.329417 0.233799 0.158630 0.102418 0.062500
2 0.999966 0.996243 0.974309 0.926235 0.851968 0.756409 0.647070 0.532283 0.419904 0.316440 0.226563
3 1.000000 0.999806 0.997272 0.987897 0.966656 0.929443 0.873964 0.800154 0.710208 0.608288 0.500000
4 1.000000 0.999994 0.999824 0.998778 0.995328 0.987122 0.971204 0.944392 0.903744 0.847072 0.773438
5 1.000000 1.000000 0.999994 0.999931 0.999629 0.998657 0.996209 0.990992 0.981158 0.964294 0.937500
6 1.000000 1.000000 1.000000 0.999998 0.999987 0.999939 0.999781 0.999357 0.998362 0.996263 0.992188
8 0 0.922745 0.663420 0.430467 0.272491 0.167772 0.100113 0.057648 0.031864 0.016796 0.008373 0.003906
1 0.997310 0.942755 0.813105 0.657183 0.503316 0.367081 0.255298 0.169127 0.106376 0.063181 0.035156
2 0.999946 0.994212 0.961908 0.894787 0.796918 0.678543 0.551774 0.427814 0.315395 0.220130 0.144531
3 0.999999 0.999628 0.994976 0.978648 0.943718 0.886185 0.805896 0.706399 0.594086 0.476956 0.363281
4 1.000000 0.999985 0.999568 0.997146 0.989594 0.972702 0.942032 0.893909 0.826330 0.739619 0.636719
5 1.000000 1.000000 0.999977 0.999758 0.998769 0.995773 0.988708 0.974682 0.950193 0.911544 0.855469
6 1.000000 1.000000 0.999999 0.999988 0.999916 0.999619 0.998710 0.996429 0.991480 0.981877 0.964844
7 1.000000 1.000000 1.000000 1.000000 0.999997 0.999985 0.999934 0.999775 0.999345 0.998318 0.996094