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 = 12
  p
x 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10
0 0.88638 0.78472 0.69384 0.61271 0.54036 0.47592 0.41860 0.36767 0.32248 0.28243
1 0.99383 0.97689 0.95135 0.91906 0.88164 0.84046 0.79668 0.75132 0.70519 0.65900
2 0.99979 0.99846 0.99515 0.98927 0.98043 0.96843 0.95320 0.93480 0.91338 0.88913
3 1.00000 0.99993 0.99967 0.99902 0.99776 0.99566 0.99247 0.98799 0.98201 0.97436
4 1.00000 1.00000 0.99998 0.99994 0.99982 0.99957 0.99912 0.99839 0.99728 0.99567
5 1.00000 1.00000 1.00000 1.00000 0.99999 0.99997 0.99992 0.99984 0.99970 0.99946
6 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 0.99999 0.99997 0.99995
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
12 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 0.24699 0.21567 0.18803 0.16367 0.14224 0.12341 0.10689 0.09242 0.07977 0.06872
1 0.61331 0.56859 0.52519 0.48341 0.44346 0.40549 0.36961 0.33587 0.30429 0.27488
2 0.86233 0.83327 0.80228 0.76969 0.73582 0.70100 0.66556 0.62979 0.59396 0.55835
3 0.96492 0.95359 0.94030 0.92503 0.90779 0.88863 0.86762 0.84485 0.82045 0.79457
4 0.99345 0.99050 0.98670 0.98193 0.97608 0.96904 0.96073 0.95107 0.93999 0.92744
5 0.99909 0.99856 0.99779 0.99675 0.99536 0.99355 0.99125 0.98838 0.98485 0.98059
6 0.99991 0.99984 0.99973 0.99956 0.99933 0.99900 0.99854 0.99793 0.99713 0.99610
7 0.99999 0.99999 0.99998 0.99996 0.99993 0.99988 0.99982 0.99973 0.99960 0.99942
8 1.00000 1.00000 1.00000 1.00000 0.99999 0.99999 0.99998 0.99997 0.99996 0.99994
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
12 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 0.05909 0.05071 0.04344 0.03713 0.03168 0.02696 0.02290 0.01941 0.01641 0.01384
1 0.24759 0.22237 0.19915 0.17785 0.15838 0.14065 0.12455 0.10998 0.09684 0.08503
2 0.52317 0.48864 0.45495 0.42225 0.39068 0.36034 0.33133 0.30371 0.27753 0.25282
3 0.76736 0.73899 0.70965 0.67951 0.64878 0.61763 0.58625 0.55483 0.52353 0.49252
4 0.91341 0.89786 0.88082 0.86231 0.84236 0.82103 0.79840 0.77456 0.74961 0.72366
5 0.97552 0.96956 0.96263 0.95466 0.94560 0.93538 0.92395 0.91129 0.89736 0.88215
6 0.99479 0.99315 0.99114 0.98869 0.98575 0.98225 0.97813 0.97332 0.96777 0.96140
7 0.99918 0.99886 0.99844 0.99790 0.99722 0.99636 0.99530 0.99400 0.99241 0.99051
8 0.99991 0.99986 0.99980 0.99972 0.99961 0.99946 0.99927 0.99902 0.99871 0.99831
9 0.99999 0.99999 0.99998 0.99997 0.99996 0.99995 0.99992 0.99989 0.99985 0.99979
10 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 0.99999 0.99999 0.99999 0.99998
11 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000
12 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 0.01165 0.00977 0.00818 0.00683 0.00569 0.00472 0.00391 0.00323 0.00265 0.00218
1 0.07444 0.06497 0.05655 0.04906 0.04244 0.03660 0.03146 0.02695 0.02302 0.01959
2 0.22959 0.20784 0.18756 0.16872 0.15129 0.13521 0.12045 0.10694 0.09463 0.08344
3 0.46194 0.43195 0.40266 0.37419 0.34665 0.32012 0.29467 0.27036 0.24724 0.22534
4 0.69682 0.66923 0.64103 0.61236 0.58335 0.55414 0.52489 0.49572 0.46677 0.43818
5 0.86566 0.84790 0.82889 0.80866 0.78726 0.76476 0.74122 0.71672 0.69135 0.66521
6 0.95416 0.94599 0.93683 0.92664 0.91537 0.90298 0.88944 0.87474 0.85886 0.84179
7 0.98824 0.98555 0.98240 0.97874 0.97449 0.96962 0.96406 0.95776 0.95065 0.94269
8 0.99781 0.99719 0.99643 0.99551 0.99439 0.99305 0.99145 0.98956 0.98733 0.98473
9 0.99972 0.99963 0.99950 0.99935 0.99915 0.99891 0.99860 0.99822 0.99776 0.99719
10 0.99998 0.99997 0.99996 0.99994 0.99992 0.99989 0.99986 0.99981 0.99976 0.99968
11 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 0.99999 0.99999 0.99999 0.99998
12 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 0.00178 0.00145 0.00118 0.00095 0.00077 0.00061 0.00049 0.00039 0.00031 0.00024
1 0.01662 0.01404 0.01182 0.00992 0.00829 0.00690 0.00572 0.00472 0.00388 0.00317
2 0.07332 0.06420 0.05600 0.04867 0.04214 0.03634 0.03122 0.02670 0.02274 0.01929
3 0.20468 0.18526 0.16710 0.15018 0.13447 0.11995 0.10659 0.09434 0.08316 0.07300
4 0.41006 0.38252 0.35567 0.32962 0.30443 0.28020 0.25697 0.23481 0.21376 0.19385
5 0.63841 0.61106 0.58328 0.55520 0.52693 0.49860 0.47035 0.44228 0.41453 0.38721
6 0.82354 0.80414 0.78361 0.76198 0.73931 0.71567 0.69110 0.66571 0.63957 0.61279
7 0.93382 0.92398 0.91314 0.90124 0.88826 0.87415 0.85890 0.84249 0.82491 0.80615
8 0.98171 0.97822 0.97421 0.96963 0.96443 0.95854 0.95191 0.94448 0.93620 0.92700
9 0.99650 0.99568 0.99469 0.99351 0.99212 0.99048 0.98856 0.98632 0.98372 0.98071
10 0.99959 0.99947 0.99932 0.99914 0.99892 0.99865 0.99831 0.99791 0.99742 0.99683
11 0.99998 0.99997 0.99996 0.99995 0.99993 0.99991 0.99988 0.99985 0.99981 0.99976
12 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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