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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
9 0 0.913517 0.630249 0.387420 0.231617 0.134218 0.075085 0.040354 0.020712 0.010078 0.004605 0.001953
1 0.996564 0.928789 0.774841 0.599479 0.436208 0.300339 0.196003 0.121085 0.070544 0.038518 0.019531
2 0.999920 0.991639 0.947028 0.859147 0.738198 0.600677 0.462831 0.337273 0.231787 0.149503 0.089844
3 0.999999 0.999357 0.991669 0.966068 0.914358 0.834274 0.729659 0.608894 0.482610 0.361385 0.253906
4 1.000000 0.999967 0.999109 0.994371 0.980419 0.951073 0.901191 0.828281 0.733432 0.621421 0.500000
5 1.000000 0.999999 0.999936 0.999366 0.996934 0.990005 0.974705 0.946412 0.900647 0.834178 0.746094
6 1.000000 1.000000 0.999997 0.999954 0.999686 0.998657 0.995709 0.988818 0.974965 0.950227 0.910156
7 1.000000 1.000000 1.000000 0.999998 0.999981 0.999893 0.999567 0.998604 0.996199 0.990920 0.980469
8 1.000000 1.000000 1.000000 1.000000 0.999999 0.999996 0.999980 0.999921 0.999738 0.999243 0.998047
10 0 0.904382 0.598737 0.348678 0.196874 0.107374 0.056314 0.028248 0.013463 0.006047 0.002533 0.000977
1 0.995734 0.913862 0.736099 0.544300 0.375810 0.244025 0.149308 0.085954 0.046357 0.023257 0.010742
2 0.999886 0.988496 0.929809 0.820196 0.677800 0.525593 0.382783 0.261607 0.167290 0.099560 0.054688
3 0.999998 0.998972 0.987205 0.950030 0.879126 0.775875 0.649611 0.513827 0.382281 0.266038 0.171875
4 1.000000 0.999936 0.998365 0.990126 0.967207 0.921873 0.849732 0.751496 0.633103 0.504405 0.376953
5 1.000000 0.999997 0.999853 0.998617 0.993631 0.980272 0.952651 0.905066 0.833761 0.738437 0.623047
6 1.000000 1.000000 0.999991 0.999865 0.999136 0.996494 0.989408 0.973976 0.945238 0.898005 0.828125
7 1.000000 1.000000 1.000000 0.999991 0.999922 0.999584 0.998410 0.995179 0.987705 0.972608 0.945313
8 1.000000 1.000000 1.000000 1.000000 0.999996 0.999970 0.999856 0.999460 0.998322 0.995498 0.989258
9 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999994 0.999972 0.999895 0.999659 0.999023
11 0 0.895338 0.568800 0.313811 0.167343 0.085899 0.042235 0.019773 0.008751 0.003628 0.001393 0.000488
1 0.994820 0.898105 0.697357 0.492186 0.322123 0.197097 0.112990 0.060582 0.030233 0.013931 0.005859
2 0.999845 0.984765 0.910438 0.778812 0.617402 0.455201 0.312740 0.200129 0.118917 0.065224 0.032715
3 0.999997 0.998448 0.981465 0.930555 0.838861 0.713305 0.569562 0.425550 0.296284 0.191123 0.113281
4 1.000000 0.999888 0.997249 0.984112 0.949590 0.885374 0.789695 0.668312 0.532774 0.397140 0.274414
5 1.000000 0.999994 0.999704 0.997343 0.988346 0.965672 0.921775 0.851316 0.753498 0.633123 0.500000
6 1.000000 1.000000 0.999977 0.999678 0.998035 0.992439 0.978381 0.949857 0.900647 0.826200 0.725586
7 1.000000 1.000000 0.999999 0.999972 0.999765 0.998812 0.995709 0.987758 0.970719 0.939037 0.886719
8 1.000000 1.000000 1.000000 0.999998 0.999981 0.999874 0.999422 0.997962 0.994076 0.985197 0.967285
9 1.000000 1.000000 1.000000 1.000000 0.999999 0.999992 0.999953 0.999793 0.999266 0.997787 0.994141
10 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999998 0.999990 0.999958 0.999847 0.999512
12 0 0.886385 0.540360 0.282430 0.142242 0.068719 0.031676 0.013841 0.005688 0.002177 0.000766 0.000244
1 0.993825 0.881640 0.659002 0.443460 0.274878 0.158382 0.085025 0.042441 0.019591 0.008289 0.003174
2 0.999794 0.980432 0.889130 0.735818 0.558346 0.390675 0.252815 0.151288 0.083443 0.042142 0.019287
3 0.999995 0.997764 0.974363 0.907794 0.794569 0.648779 0.492516 0.346653 0.225337 0.134468 0.072998
4 1.000000 0.999816 0.995671 0.976078 0.927445 0.842356 0.723655 0.583345 0.438178 0.304432 0.193848
5 1.000000 0.999989 0.999459 0.995358 0.980595 0.945598 0.882151 0.787265 0.665209 0.526930 0.387207
6 1.000000 1.000000 0.999950 0.999328 0.996097 0.985747 0.961399 0.915368 0.841788 0.739315 0.612793
7 1.000000 1.000000 0.999997 0.999928 0.999419 0.997218 0.990511 0.974493 0.942690 0.888260 0.806152
8 1.000000 1.000000 1.000000 0.999995 0.999938 0.999608 0.998308 0.994390 0.984733 0.964425 0.927002
9 1.000000 1.000000 1.000000 1.000000 0.999995 0.999962 0.999794 0.999152 0.997190 0.992122 0.980713
10 1.000000 1.000000 1.000000 1.000000 1.000000 0.999998 0.999985 0.999921 0.999681 0.998920 0.996826
11 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999997 0.999983 0.999931 0.999756
13 0 0.877521 0.513342 0.254187 0.120905 0.054976 0.023757 0.009689 0.003697 0.001306 0.000421 0.000122
1 0.992751 0.864576 0.621345 0.398277 0.233646 0.126705 0.063670 0.029578 0.012625 0.004904 0.001709
2 0.999735 0.975492 0.866117 0.691964 0.501652 0.332602 0.202478 0.113191 0.057902 0.026908 0.011230
3 0.999993 0.996897 0.965839 0.881997 0.747324 0.584253 0.420606 0.278275 0.168580 0.092921 0.046143
4 1.000000 0.999713 0.993540 0.965835 0.900869 0.793962 0.654314 0.500503 0.353042 0.227948 0.133423
5 1.000000 0.999980 0.999080 0.992466 0.969965 0.919787 0.834603 0.715893 0.574396 0.426806 0.290527
6 1.000000 0.999999 0.999901 0.998732 0.992996 0.975710 0.937625 0.870532 0.771156 0.643742 0.500000
7 1.000000 1.000000 0.999992 0.999838 0.998754 0.994351 0.981777 0.953799 0.902329 0.821235 0.709473
8 1.000000 1.000000 1.000000 0.999985 0.999834 0.999011 0.995969 0.987426 0.967916 0.930151 0.866577
9 1.000000 1.000000 1.000000 0.999999 0.999984 0.999874 0.999348 0.997485 0.992207 0.979658 0.953857
10 1.000000 1.000000 1.000000 1.000000 0.999999 0.999989 0.999927 0.999652 0.998685 0.995861 0.988770
11 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999995 0.999970 0.999862 0.999476 0.998291
12 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999993 0.999969 0.999878
14 0 0.868746 0.487675 0.228768 0.102770 0.043980 0.017818 0.006782 0.002403 0.000784 0.000232 0.000061
1 0.991599 0.847014 0.584629 0.356671 0.197912 0.100968 0.047476 0.020519 0.008098 0.002887 0.000916
2 0.999665 0.969946 0.841640 0.647911 0.448051 0.281128 0.160836 0.083927 0.039792 0.017006 0.006470
3 0.999991 0.995827 0.955867 0.853492 0.698190 0.521340 0.355167 0.220496 0.124309 0.063215 0.028687
4 1.000000 0.999573 0.990770 0.953260 0.870160 0.741535 0.584201 0.422723 0.279257 0.167186 0.089783
5 1.000000 0.999967 0.998526 0.988472 0.956146 0.888331 0.780516 0.640506 0.485855 0.337320 0.211975
6 1.000000 0.999998 0.999819 0.997793 0.988390 0.961729 0.906718 0.816408 0.692452 0.546121 0.395264
7 1.000000 1.000000 0.999983 0.999672 0.997603 0.989690 0.968531 0.924655 0.849860 0.741363 0.604736
8 1.000000 1.000000 0.999999 0.999963 0.999618 0.997846 0.991711 0.975657 0.941681 0.881139 0.788025
9 1.000000 1.000000 1.000000 0.999997 0.999954 0.999658 0.998334 0.993965 0.982490 0.957380 0.910217
10 1.000000 1.000000 1.000000 1.000000 0.999996 0.999960 0.999754 0.998894 0.996094 0.988569 0.971313
11 1.000000 1.000000 1.000000 1.000000 1.000000 0.999997 0.999975 0.999859 0.999391 0.997849 0.993530
12 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999998 0.999989 0.999941 0.999747 0.999084
13 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999997 0.999986 0.999939
15 0 0.860058 0.463291 0.205891 0.087354 0.035184 0.013363 0.004748 0.001562 0.000470 0.000127 0.000031
1 0.990370 0.829047 0.549043 0.318586 0.167126 0.080181 0.035268 0.014179 0.005172 0.001692 0.000488
2 0.999584 0.963800 0.815939 0.604225 0.398023 0.236088 0.126828 0.061734 0.027114 0.010652 0.003693
3 0.999988 0.994533 0.944444 0.822655 0.648162 0.461287 0.296868 0.172696 0.090502 0.042421 0.017578
4 1.000000 0.999385 0.987280 0.938295 0.835766 0.686486 0.515491 0.351943 0.217278 0.120399 0.059235
5 1.000000 0.999947 0.997750 0.983190 0.938949 0.851632 0.721621 0.564282 0.403216 0.260760 0.150879
6 1.000000 0.999996 0.999689 0.996394 0.981941 0.943380 0.868857 0.754842 0.609813 0.452160 0.303619
7 1.000000 1.000000 0.999966 0.999390 0.995760 0.982700 0.949987 0.886769 0.786897 0.653504 0.500000
8 1.000000 1.000000 0.999997 0.999919 0.999215 0.995807 0.984757 0.957806 0.904953 0.818240 0.696381
9 1.000000 1.000000 1.000000 0.999992 0.999887 0.999205 0.996347 0.987557 0.966167 0.923071 0.849121
10 1.000000 1.000000 1.000000 0.999999 0.999988 0.999885 0.999328 0.997169 0.990652 0.974534 0.940765
11 1.000000 1.000000 1.000000 1.000000 0.999999 0.999988 0.999908 0.999521 0.998072 0.993673 0.982422
12 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999991 0.999943 0.999721 0.998893 0.996307
13 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999996 0.999975 0.999879 0.999512
14 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999994 0.999969
16 0 0.851458 0.440127 0.185302 0.074251 0.028147 0.010023 0.003323 0.001015 0.000282 0.000070 0.000015
1 0.989067 0.810760 0.514728 0.283901 0.140737 0.063476 0.026112 0.009763 0.003291 0.000988 0.000259
2 0.999492 0.957062 0.789249 0.561379 0.351844 0.197111 0.099360 0.045090 0.018337 0.006620 0.002090
3 0.999983 0.992996 0.931594 0.789891 0.598134 0.404987 0.245856 0.133860 0.065147 0.028125 0.010635
4 1.000000 0.999143 0.982996 0.920949 0.798245 0.630186 0.449904 0.289207 0.166567 0.085309 0.038406
5 1.000000 0.999919 0.996703 0.976456 0.918312 0.810345 0.659782 0.489964 0.328840 0.197598 0.105057
6 1.000000 0.999994 0.999495 0.994414 0.973343 0.920443 0.824687 0.688146 0.527174 0.366030 0.227249
7 1.000000 1.000000 0.999939 0.998941 0.992996 0.972870 0.925648 0.840595 0.716063 0.562899 0.401810
8 1.000000 1.000000 0.999994 0.999840 0.998524 0.992530 0.974326 0.932943 0.857730 0.744109 0.598190
9 1.000000 1.000000 1.000000 0.999981 0.999752 0.998356 0.992870 0.977144 0.941681 0.875897 0.772751
10 1.000000 1.000000 1.000000 0.999998 0.999967 0.999715 0.998434 0.993804 0.980858 0.951376 0.894943
11 1.000000 1.000000 1.000000 1.000000 0.999997 0.999962 0.999734 0.998698 0.995104 0.985061 0.961594
12 1.000000 1.000000 1.000000 1.000000 1.000000 0.999996 0.999966 0.999796 0.999062 0.996544 0.989365
13 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999997 0.999977 0.999873 0.999435 0.997910
14 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999998 0.999989 0.999942 0.999741
15 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999997 0.999985
17 0 0.842943 0.418120 0.166772 0.063113 0.022518 0.007517 0.002326 0.000660 0.000169 0.000039 0.000008
1 0.987691 0.792228 0.481785 0.252454 0.118219 0.050113 0.019275 0.006701 0.002088 0.000575 0.000137
2 0.999388 0.949747 0.761797 0.519758 0.309622 0.163702 0.077385 0.032725 0.012319 0.004086 0.001175
3 0.999979 0.991199 0.917359 0.755614 0.548876 0.353018 0.201907 0.102790 0.046423 0.018448 0.006363
4 0.999999 0.998835 0.977856 0.901290 0.758223 0.573886 0.388690 0.234835 0.125999 0.059576 0.024521
5 1.000000 0.999880 0.995333 0.968130 0.894299 0.765306 0.596819 0.419699 0.263931 0.147068 0.071732
6 1.000000 0.999990 0.999216 0.991720 0.962337 0.892918 0.775215 0.618782 0.447841 0.290235 0.166153
7 1.000000 0.999999 0.999894 0.998262 0.989066 0.959763 0.895360 0.787238 0.640508 0.474308 0.314529
8 1.000000 1.000000 0.999989 0.999705 0.997419 0.987615 0.959723 0.900621 0.801064 0.662564 0.500000
9 1.000000 1.000000 0.999999 0.999960 0.999507 0.996899 0.987307 0.961674 0.908101 0.816592 0.685471
10 1.000000 1.000000 1.000000 0.999996 0.999924 0.999375 0.996765 0.987973 0.965187 0.917410 0.833847
11 1.000000 1.000000 1.000000 1.000000 0.999991 0.999900 0.999344 0.996985 0.989406 0.969902 0.928268
12 1.000000 1.000000 1.000000 1.000000 0.999999 0.999988 0.999897 0.999411 0.997479 0.991377 0.975479
13 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999988 0.999914 0.999549 0.998134 0.993637
14 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999991 0.999943 0.999714 0.998825
15 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999995 0.999972 0.999863
16 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999992
18 0 0.834514 0.397214 0.150095 0.053646 0.018014 0.005638 0.001628 0.000429 0.000102 0.000021 0.000004
1 0.986244 0.773523 0.450284 0.224053 0.099079 0.039464 0.014190 0.004587 0.001320 0.000334 0.000072
2 0.999271 0.941871 0.733796 0.479662 0.271342 0.135305 0.059952 0.023617 0.008226 0.002506 0.000656
3 0.999973 0.989127 0.901803 0.720236 0.501025 0.305689 0.164550 0.078267 0.032781 0.011985 0.003769
4 0.999999 0.998454 0.971806 0.879439 0.716354 0.518669 0.332655 0.188620 0.094169 0.041069 0.015442
5 1.000000 0.999828 0.993585 0.958104 0.867084 0.717451 0.534380 0.354997 0.208758 0.107697 0.048126
6 1.000000 0.999985 0.998828 0.988181 0.948729 0.861015 0.721696 0.549103 0.374277 0.225810 0.118942
7 1.000000 0.999999 0.999827 0.997281 0.983720 0.943052 0.859317 0.728278 0.563441 0.391475 0.240341
8 1.000000 1.000000 0.999979 0.999489 0.995748 0.980652 0.940414 0.860937 0.736841 0.577849 0.407265
9 1.000000 1.000000 0.999998 0.999921 0.999089 0.994578 0.979032 0.940305 0.865286 0.747280 0.592735
10 1.000000 1.000000 1.000000 0.999990 0.999841 0.998756 0.993927 0.978768 0.942353 0.872042 0.759659
11 1.000000 1.000000 1.000000 0.999999 0.999978 0.999769 0.998570 0.993831 0.979718 0.946281 0.881058
12 1.000000 1.000000 1.000000 1.000000 0.999997 0.999966 0.999731 0.998562 0.994250 0.981713 0.951874
13 1.000000 1.000000 1.000000 1.000000 1.000000 0.999996 0.999961 0.999738 0.998721 0.995093 0.984558
14 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999996 0.999964 0.999785 0.999003 0.996231
15 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999997 0.999974 0.999856 0.999344
16 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999998 0.999987 0.999928
17 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999996
19 0 0.826169 0.377354 0.135085 0.045599 0.014412 0.004228 0.001140 0.000279 0.000061 0.000012 0.000002
1 0.984726 0.754707 0.420265 0.198492 0.082866 0.031007 0.010422 0.003132 0.000833 0.000193 0.000038
2 0.999141 0.933454 0.705445 0.441321 0.236889 0.111345 0.046224 0.016956 0.005464 0.001528 0.000364
3 0.999966 0.986764 0.885002 0.684150 0.455089 0.263093 0.133171 0.059140 0.022959 0.007719 0.002213
4 0.999999 0.997987 0.964806 0.855558 0.673288 0.465424 0.282224 0.149996 0.069614 0.027981 0.009605
5 1.000000 0.999759 0.991407 0.946304 0.836938 0.667755 0.473863 0.296765 0.162922 0.077714 0.031784
6 1.000000 0.999977 0.998304 0.983670 0.932400 0.825124 0.665502 0.481166 0.308069 0.172659 0.083534
7 1.000000 0.999998 0.999727 0.995916 0.976722 0.922543 0.818030 0.665567 0.487775 0.316926 0.179642
8 1.000000 1.000000 0.999964 0.999157 0.993342 0.971252 0.916085 0.814506 0.667481 0.493981 0.323803
9 1.000000 1.000000 0.999996 0.999856 0.998421 0.991097 0.967447 0.912526 0.813908 0.671036 0.500000
10 1.000000 1.000000 1.000000 0.999980 0.999691 0.997712 0.989459 0.965306 0.911526 0.815899 0.676197
11 1.000000 1.000000 1.000000 0.999998 0.999950 0.999516 0.997177 0.988559 0.964772 0.912874 0.820358
12 1.000000 1.000000 1.000000 1.000000 0.999993 0.999917 0.999383 0.996906 0.988437 0.965769 0.916466
13 1.000000 1.000000 1.000000 1.000000 0.999999 0.999988 0.999892 0.999326 0.996932 0.989072 0.968216
14 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999985 0.999885 0.999359 0.997244 0.990395
15 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999998 0.999985 0.999899 0.999472 0.997787
16 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999989 0.999928 0.999636
17 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999994 0.999962
18 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999998
20 0 0.817907 0.358486 0.121577 0.038760 0.011529 0.003171 0.000798 0.000181 0.000037 0.000006 0.000001
1 0.983141 0.735840 0.391747 0.175558 0.069175 0.024313 0.007637 0.002133 0.000524 0.000111 0.000020
2 0.998996 0.924516 0.676927 0.404896 0.206085 0.091260 0.035483 0.012118 0.003611 0.000927 0.000201
3 0.999957 0.984098 0.867047 0.647725 0.411449 0.225156 0.107087 0.044376 0.015961 0.004933 0.001288
4 0.999999 0.997426 0.956826 0.829847 0.629648 0.414842 0.237508 0.118197 0.050952 0.018863 0.005909
5 1.000000 0.999671 0.988747 0.932692 0.804208 0.617173 0.416371 0.245396 0.125599 0.055334 0.020695
6 1.000000 0.999966 0.997614 0.978065 0.913307 0.785782 0.608010 0.416625 0.250011 0.129934 0.057659
7 1.000000 0.999997 0.999584 0.994079 0.967857 0.898188 0.772272 0.601027 0.415893 0.252006 0.131588
8 1.000000 1.000000 0.999940 0.998671 0.990018 0.959075 0.886669 0.762378 0.595599 0.414306 0.251722
9 1.000000 1.000000 0.999993 0.999752 0.997405 0.986136 0.952038 0.878219 0.755337 0.591361 0.411901
10 1.000000 1.000000 0.999999 0.999961 0.999437 0.996058 0.982855 0.946833 0.872479 0.750711 0.588099
11 1.000000 1.000000 1.000000 0.999995 0.999898 0.999065 0.994862 0.980421 0.943474 0.869235 0.748278
12 1.000000 1.000000 1.000000 0.999999 0.999985 0.999816 0.998721 0.993985 0.978971 0.941966 0.868412
13 1.000000 1.000000 1.000000 1.000000 0.999998 0.999970 0.999739 0.998479 0.993534 0.978586 0.942341
14 1.000000 1.000000 1.000000 1.000000 1.000000 0.999996 0.999957 0.999689 0.998388 0.993566 0.979305
15 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999994 0.999950 0.999683 0.998469 0.994091
16 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999994 0.999953 0.999723 0.998712
17 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999995 0.999964 0.999799
18 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999997 0.999980
19 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999
21 0 0.809728 0.340562 0.109419 0.032946 0.009223 0.002378 0.000559 0.000118 0.000022 0.000004 0.000000
1 0.981488 0.716972 0.364730 0.155038 0.057646 0.019027 0.005585 0.001450 0.000329 0.000064 0.000010
2 0.998838 0.915082 0.648409 0.370496 0.178703 0.074523 0.027129 0.008623 0.002377 0.000560 0.000111
3 0.999948 0.981119 0.848035 0.611301 0.370376 0.191682 0.085606 0.033085 0.011021 0.003131 0.000745
4 0.999998 0.996760 0.947848 0.802529 0.586008 0.367420 0.198381 0.092359 0.036956 0.012595 0.003599
5 1.000000 0.999558 0.985555 0.917265 0.769296 0.566590 0.362712 0.200876 0.095740 0.038922 0.013302
6 1.000000 0.999951 0.996727 0.971259 0.891488 0.743630 0.550518 0.356695 0.200246 0.096364 0.039177
7 1.000000 0.999996 0.999387 0.991677 0.956947 0.870087 0.722993 0.536486 0.349540 0.197073 0.094624
8 1.000000 1.000000 0.999905 0.997982 0.985586 0.943853 0.852350 0.705905 0.523716 0.341271 0.191655
9 1.000000 1.000000 0.999988 0.999590 0.995928 0.979370 0.932427 0.837675 0.691442 0.511686 0.331812
10 1.000000 1.000000 0.999999 0.999930 0.999030 0.993577 0.973610 0.922818 0.825622 0.679003 0.500000
11 1.000000 1.000000 1.000000 0.999990 0.999806 0.998313 0.991260 0.968665 0.915076 0.815899 0.668188
12 1.000000 1.000000 1.000000 0.999999 0.999968 0.999628 0.997563 0.989237 0.964772 0.909237 0.808345
13 1.000000 1.000000 1.000000 1.000000 0.999995 0.999932 0.999434 0.996906 0.987709 0.962107 0.905376
14 1.000000 1.000000 1.000000 1.000000 0.999999 0.999990 0.999892 0.999266 0.996447 0.986825 0.960823
15 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999983 0.999859 0.999165 0.996263 0.986698
16 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999998 0.999979 0.999845 0.999159 0.996401
17 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999998 0.999978 0.999856 0.999255
18 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999998 0.999982 0.999889
19 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999990
20 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
22 0 0.801631 0.323534 0.098477 0.028004 0.007379 0.001784 0.000391 0.000077 0.000013 0.000002 0.000000
1 0.979771 0.698151 0.339199 0.136724 0.047962 0.014865 0.004077 0.000984 0.000206 0.000037 0.000005
2 0.998664 0.905177 0.620041 0.338177 0.154491 0.060649 0.020666 0.006113 0.001558 0.000337 0.000061
3 0.999937 0.977818 0.828072 0.575180 0.332041 0.162392 0.068063 0.024524 0.007563 0.001974 0.000428
4 0.999998 0.995978 0.937866 0.773844 0.542882 0.323486 0.164549 0.071613 0.026582 0.008336 0.002172
5 1.000000 0.999419 0.981784 0.900055 0.732638 0.516797 0.313413 0.162895 0.072226 0.027075 0.008450
6 1.000000 0.999932 0.995610 0.963160 0.867049 0.699370 0.494176 0.302158 0.158444 0.070515 0.026239
7 1.000000 0.999993 0.999121 0.988614 0.943855 0.838472 0.671251 0.473559 0.289822 0.151754 0.066900
8 1.000000 0.999999 0.999853 0.997036 0.979858 0.925412 0.813543 0.646608 0.454046 0.276382 0.143139
9 1.000000 1.000000 0.999979 0.999348 0.993859 0.970491 0.908404 0.791555 0.624352 0.435000 0.261734
10 1.000000 1.000000 0.999998 0.999879 0.998410 0.990026 0.961255 0.893018 0.771950 0.603711 0.415906
11 1.000000 1.000000 1.000000 0.999981 0.999651 0.997129 0.985965 0.952619 0.879294 0.754296 0.584094
12 1.000000 1.000000 1.000000 0.999997 0.999935 0.999300 0.995672 0.982037 0.944894 0.867235 0.738266
13 1.000000 1.000000 1.000000 1.000000 0.999990 0.999856 0.998873 0.994222 0.978534 0.938315 0.856861
14 1.000000 1.000000 1.000000 1.000000 0.999999 0.999975 0.999754 0.998440 0.992952 0.975702 0.933100
15 1.000000 1.000000 1.000000 1.000000 1.000000 0.999997 0.999956 0.999651 0.998078 0.992016 0.973761
16 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999994 0.999937 0.999573 0.997856 0.991550
17 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999991 0.999925 0.999542 0.997828
18 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999990 0.999925 0.999572
19 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999991 0.999939
20 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999995
21 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
23 0 0.793614 0.307357 0.088629 0.023803 0.005903 0.001338 0.000274 0.000050 0.000008 0.000001 0.000000
1 0.977989 0.679420 0.315127 0.120416 0.039845 0.011595 0.002971 0.000666 0.000129 0.000021 0.000003
2 0.998475 0.894826 0.591957 0.307959 0.133185 0.049203 0.015690 0.004317 0.001017 0.000202 0.000033
3 0.999924 0.974185 0.807269 0.539630 0.296531 0.136957 0.053844 0.018080 0.005161 0.001237 0.000244
4 0.999997 0.995070 0.926887 0.744045 0.500714 0.283212 0.135603 0.055132 0.018974 0.005473 0.001300
5 1.000000 0.999246 0.977392 0.881123 0.694687 0.468469 0.268754 0.130947 0.053969 0.018642 0.005311
6 1.000000 0.999906 0.994227 0.953694 0.840167 0.653727 0.439947 0.253416 0.123957 0.050967 0.017345
7 1.000000 0.999990 0.998770 0.984796 0.928494 0.803697 0.618128 0.413569 0.237271 0.115197 0.046570
8 1.000000 0.999999 0.999780 0.995773 0.972658 0.903677 0.770855 0.586041 0.388356 0.220300 0.105020
9 1.000000 1.000000 0.999967 0.999002 0.991059 0.959221 0.879946 0.740824 0.556229 0.363622 0.202436
10 1.000000 1.000000 0.999996 0.999799 0.997500 0.985142 0.945400 0.857506 0.712911 0.527791 0.338820
11 1.000000 1.000000 1.000000 0.999966 0.999403 0.995353 0.978552 0.931759 0.836357 0.686533 0.500000
12 1.000000 1.000000 1.000000 0.999995 0.999878 0.998757 0.992760 0.971741 0.918654 0.816412 0.661180
13 1.000000 1.000000 1.000000 0.999999 0.999979 0.999717 0.997912 0.989957 0.965078 0.906329 0.797564
14 1.000000 1.000000 1.000000 1.000000 0.999997 0.999945 0.999490 0.996964 0.987185 0.958878 0.894980
15 1.000000 1.000000 1.000000 1.000000 1.000000 0.999991 0.999895 0.999227 0.996027 0.984675 0.953430
16 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999982 0.999837 0.998975 0.995228 0.982655
17 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999998 0.999972 0.999784 0.998783 0.994689
18 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999996 0.999964 0.999753 0.998700
19 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999995 0.999962 0.999756
20 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999996 0.999967
21 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999997
22 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
24 0 0.785678 0.291989 0.079766 0.020233 0.004722 0.001003 0.000192 0.000032 0.000005 0.000001 0.000000
1 0.976146 0.660817 0.292477 0.105924 0.033057 0.009031 0.002162 0.000450 0.000081 0.000012 0.000001
2 0.998271 0.884055 0.564274 0.279828 0.114517 0.039801 0.011874 0.003040 0.000662 0.000121 0.000018
3 0.999909 0.970218 0.785738 0.504879 0.263862 0.115018 0.042398 0.013263 0.003503 0.000771 0.000139
4 0.999996 0.994025 0.914925 0.713382 0.459877 0.246648 0.111075 0.042164 0.013449 0.003567 0.000772
5 1.000000 0.999038 0.972342 0.860561 0.655892 0.422155 0.228808 0.104411 0.039971 0.012716 0.003305
6 1.000000 0.999873 0.992544 0.942808 0.811071 0.607412 0.388589 0.210552 0.095961 0.036421 0.011328
7 1.000000 0.999986 0.998316 0.980131 0.910829 0.766204 0.564674 0.357516 0.191945 0.086293 0.031957
8 1.000000 0.999999 0.999679 0.994127 0.963825 0.878682 0.725037 0.525676 0.327922 0.173003 0.075795
9 1.000000 1.000000 0.999948 0.998517 0.987379 0.945335 0.847218 0.686650 0.489080 0.299127 0.153728
10 1.000000 1.000000 0.999993 0.999680 0.996212 0.978662 0.925764 0.816667 0.650238 0.453915 0.270628
11 1.000000 1.000000 0.999999 0.999941 0.999022 0.992800 0.968606 0.905770 0.786978 0.615099 0.419410
12 1.000000 1.000000 1.000000 0.999991 0.999783 0.997906 0.988498 0.957747 0.885735 0.757967 0.580590
13 1.000000 1.000000 1.000000 0.999999 0.999959 0.999477 0.996367 0.983581 0.946508 0.865867 0.729372
14 1.000000 1.000000 1.000000 1.000000 0.999993 0.999888 0.999017 0.994511 0.978342 0.935231 0.846272
15 1.000000 1.000000 1.000000 1.000000 0.999999 0.999980 0.999774 0.998435 0.992490 0.973066 0.924205
16 1.000000 1.000000 1.000000 1.000000 1.000000 0.999997 0.999956 0.999623 0.997796 0.990479 0.968043
17 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999993 0.999925 0.999460 0.997183 0.988672
18 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999988 0.999892 0.999316 0.996695
19 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999998 0.999983 0.999868 0.999228
20 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999998 0.999980 0.999861
21 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999998 0.999982
22 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999
23 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
25 0 0.777821 0.277390 0.071790 0.017198 0.003778 0.000753 0.000134 0.000021 0.000003 0.000000 0.000000
1 0.974241 0.642376 0.271206 0.093071 0.027390 0.007024 0.001571 0.000304 0.000050 0.000007 0.000001
2 0.998049 0.872894 0.537094 0.253742 0.098225 0.032109 0.008961 0.002133 0.000429 0.000072 0.000010
3 0.999893 0.965909 0.763591 0.471121 0.233993 0.096214 0.033241 0.009685 0.002367 0.000479 0.000078
4 0.999996 0.992835 0.902006 0.682107 0.420674 0.213741 0.090472 0.032048 0.009471 0.002309 0.000455
5 1.000000 0.998787 0.966600 0.838485 0.616689 0.378279 0.193488 0.082625 0.029362 0.008599 0.002039
6 1.000000 0.999831 0.990524 0.930471 0.780035 0.561098 0.340655 0.173403 0.073565 0.025754 0.007317
7 1.000000 0.999980 0.997739 0.974532 0.890877 0.726506 0.511849 0.306078 0.153552 0.063851 0.021643
8 1.000000 0.999998 0.999542 0.992027 0.953226 0.850562 0.676928 0.466820 0.273531 0.133984 0.053876
9 1.000000 1.000000 0.999921 0.997859 0.982668 0.928672 0.810564 0.630309 0.424617 0.242371 0.114761
10 1.000000 1.000000 0.999988 0.999505 0.994445 0.970330 0.902200 0.771161 0.585775 0.384260 0.212178
11 1.000000 1.000000 0.999999 0.999902 0.998460 0.989266 0.955754 0.874584 0.732282 0.542566 0.345019
12 1.000000 1.000000 1.000000 0.999983 0.999631 0.996630 0.982530 0.939555 0.846232 0.693676 0.500000
13 1.000000 1.000000 1.000000 0.999998 0.999924 0.999084 0.994006 0.974539 0.922199 0.817312 0.654981
14 1.000000 1.000000 1.000000 1.000000 0.999986 0.999785 0.998222 0.990686 0.965608 0.904017 0.787822
15 1.000000 1.000000 1.000000 1.000000 0.999998 0.999957 0.999546 0.997062 0.986831 0.956040 0.885239
16 1.000000 1.000000 1.000000 1.000000 1.000000 0.999993 0.999901 0.999208 0.995674 0.982643 0.946124
17 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999982 0.999819 0.998795 0.994166 0.978357
18 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999997 0.999966 0.999719 0.998356 0.992683
19 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999995 0.999946 0.999620 0.997961
20 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999992 0.999930 0.999545
21 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999990 0.999922
22 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999 0.999990
23 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.999999
24 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000