meta data for this page
차이
문서의 선택한 두 판 사이의 차이를 보여줍니다.
|
이항분포표 [2012/07/18 21:41] moonrepeat |
이항분포표 [2021/03/10 21:42] |
||
|---|---|---|---|
| 줄 1: | 줄 1: | ||
| - | ====== 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 | | ||