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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