Table 1: Cumulative Binomial Probabilities (cont'd)



Cumulative probabilities for a Bin(n,p) distribution are tabulated for n = 10, 11, 12 and selected p between 0 and 0.5.



n = 11
  p
x 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10
0 0.89534 0.80073 0.71530 0.63824 0.56880 0.50630 0.45010 0.39964 0.35437 0.31381
1 0.99482 0.98049 0.95865 0.93077 0.89811 0.86178 0.82277 0.78190 0.73989 0.69736
2 0.99984 0.99883 0.99628 0.99171 0.98476 0.97524 0.96302 0.94810 0.93053 0.91044
3 1.00000 0.99995 0.99977 0.99933 0.99845 0.99696 0.99469 0.99146 0.98710 0.98147
4 1.00000 1.00000 0.99999 0.99996 0.99989 0.99974 0.99946 0.99900 0.99829 0.99725
5 1.00000 1.00000 1.00000 1.00000 0.99999 0.99998 0.99996 0.99991 0.99984 0.99970
6 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 0.99999 0.99999 0.99998
7 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000
8 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000
9 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000
10 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000
11 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000
 
  p
x 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.20
0 0.27752 0.24508 0.21613 0.19032 0.16734 0.14692 0.12878 0.11271 0.09848 0.08590
1 0.65482 0.61270 0.57137 0.53112 0.49219 0.45474 0.41893 0.38485 0.35257 0.32212
2 0.88798 0.86335 0.83679 0.80852 0.77881 0.74791 0.71607 0.68355 0.65059 0.61740
3 0.97443 0.96589 0.95577 0.94400 0.93056 0.91544 0.89866 0.88026 0.86030 0.83886
4 0.99580 0.99386 0.99132 0.98810 0.98411 0.97925 0.97345 0.96661 0.95868 0.94959
5 0.99950 0.99920 0.99876 0.99816 0.99734 0.99627 0.99489 0.99315 0.99099 0.98835
6 0.99996 0.99992 0.99987 0.99979 0.99968 0.99951 0.99929 0.99898 0.99857 0.99803
7 1.00000 0.99999 0.99999 0.99998 0.99997 0.99996 0.99993 0.99989 0.99984 0.99976
8 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 0.99999 0.99999 0.99998
9 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000
10 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000
11 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000
 
  p
x 0.21 0.22 0.23 0.24 0.25 0.26 0.27 0.28 0.29 0.30
0 0.07480 0.06502 0.05642 0.04886 0.04224 0.03644 0.03137 0.02696 0.02311 0.01977
1 0.29352 0.26674 0.24178 0.21858 0.19710 0.17726 0.15901 0.14227 0.12695 0.11299
2 0.58422 0.55123 0.51862 0.48657 0.45520 0.42466 0.39506 0.36649 0.33903 0.31274
3 0.81604 0.79195 0.76671 0.74044 0.71330 0.68543 0.65697 0.62807 0.59889 0.56956
4 0.93929 0.92774 0.91491 0.90079 0.88537 0.86867 0.85072 0.83153 0.81117 0.78970
5 0.98516 0.98136 0.97689 0.97168 0.96567 0.95881 0.95104 0.94230 0.93256 0.92178
6 0.99735 0.99648 0.99540 0.99406 0.99244 0.99048 0.98814 0.98538 0.98214 0.97838
7 0.99966 0.99953 0.99935 0.99911 0.99881 0.99843 0.99795 0.99735 0.99661 0.99571
8 0.99997 0.99996 0.99994 0.99991 0.99987 0.99982 0.99976 0.99967 0.99956 0.99942
9 1.00000 1.00000 1.00000 0.99999 0.99999 0.99999 0.99998 0.99998 0.99997 0.99995
10 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000
11 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000
 
  p
x 0.31 0.32 0.33 0.34 0.35 0.36 0.37 0.38 0.39 0.40
0 0.01688 0.01437 0.01221 0.01035 0.00875 0.00738 0.00621 0.00520 0.00435 0.00363
1 0.10029 0.08878 0.07838 0.06901 0.06058 0.05303 0.04629 0.04029 0.03495 0.03023
2 0.28768 0.26387 0.24134 0.22009 0.20013 0.18144 0.16401 0.14780 0.13278 0.11892
3 0.54023 0.51104 0.48212 0.45358 0.42555 0.39813 0.37141 0.34548 0.32042 0.29628
4 0.76717 0.74368 0.71931 0.69415 0.66831 0.64190 0.61502 0.58780 0.56035 0.53277
5 0.90991 0.89694 0.88286 0.86765 0.85132 0.83387 0.81533 0.79573 0.77510 0.75350
6 0.97404 0.96907 0.96342 0.95703 0.94986 0.94185 0.93297 0.92317 0.91240 0.90065
7 0.99462 0.99331 0.99176 0.98992 0.98776 0.98524 0.98232 0.97896 0.97511 0.97072
8 0.99924 0.99902 0.99874 0.99839 0.99796 0.99744 0.99681 0.99605 0.99515 0.99408
9 0.99994 0.99991 0.99988 0.99984 0.99979 0.99973 0.99965 0.99955 0.99942 0.99927
10 1.00000 1.00000 0.99999 0.99999 0.99999 0.99999 0.99998 0.99998 0.99997 0.99996
11 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000
 
  p
x 0.41 0.42 0.43 0.44 0.45 0.46 0.47 0.48 0.49 0.50
0 0.00302 0.00250 0.00206 0.00170 0.00139 0.00114 0.00093 0.00075 0.00061 0.00049
1 0.02607 0.02240 0.01919 0.01638 0.01393 0.01181 0.00997 0.00838 0.00702 0.00586
2 0.10616 0.09446 0.08378 0.07405 0.06522 0.05724 0.05006 0.04361 0.03785 0.03271
3 0.27314 0.25102 0.22996 0.20999 0.19112 0.17337 0.15671 0.14116 0.12669 0.11328
4 0.50520 0.47774 0.45051 0.42361 0.39714 0.37120 0.34588 0.32126 0.29741 0.27441
5 0.73098 0.70760 0.68345 0.65859 0.63312 0.60714 0.58073 0.55400 0.52705 0.50000
6 0.88787 0.87405 0.85917 0.84322 0.82620 0.80812 0.78899 0.76883 0.74768 0.72559
7 0.96575 0.96014 0.95386 0.94684 0.93904 0.93041 0.92090 0.91048 0.89910 0.88672
8 0.99281 0.99131 0.98957 0.98754 0.98520 0.98249 0.97940 0.97586 0.97184 0.96729
9 0.99907 0.99884 0.99855 0.99820 0.99779 0.99729 0.99669 0.99597 0.99513 0.99414
10 0.99994 0.99993 0.99991 0.99988 0.99985 0.99980 0.99975 0.99969 0.99961 0.99951
11 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000


Tabulated by S L C Saw

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