Informatica

Binomial B(n, p) : F (k) =
i=0
n 1 k 0 1 0 1 2 0 1 2 3 0 1 2 3 4 0 1 2 3 4 5 0 1 2 3 4 5 6 0 1 2 3 4 5 6 7 0 1 2 3 8 4 5 6 7 8 0 1 2 3 4 5 6 7 8 9 0.01 0.9990 1 .9801 .9999 .9703 .9997 1 .9606 .9994 1 0.05 .9500 1 .9025 .9975 1 .8574 .9928 .9999 1 .8145 .9860 .9995 1 .7738 .9774 .9988 1 0.10 .9000 1 .8100 .9900 1 .7290 .9720 .9990 1 .6561 .9477 .9963 .9999 1 .5905 .9185 .9914 .9995 1 .5314.8857 .9842 .9987 .9999 1 .4783 .8503 .9743 .9973 .9998 1 0.15 .8500 1 .7225 .9775 1 .6141 .9393 .9966 1 .5220 .8905 .9880 .9995 1 .4437 .8352 .9734 .9978 .9999 1 .3771 .7765 .9527 .9941 .9996 1 .3206 .7166 .9262 .9879 .9988 .9999 1 .2725 .6572 .8948 .9786 .9971 .9998 1 0.20 .8000 1 .6400 .9600 1 .5120 .8960 .9920 1 .4096 .8192 .9728 .9984 1 .3277 .7373 .9421 .9933 .9997 1 .2621 .6554 .9011 .9830.9984 .9999 1 .2097 .5767 .8520 .9667 .9953 .9996 1 .1678 .5033 .7969 .9437 .9896 .9988 .9999 1 .1342 .4362 .7382 .9144 .9804 .9969 .9997 1 0.25 .7500 1 .5625 .9375 1 .4219 .8438 .9844 1 .3164 .7383 .9492 .9961 1 .2373 .6328 .8965 .9844 .9990 1 .1780 .5339 .8306 .9624 .9954 .9998 1 .1335 .4449 .7564 .9294 .9871 .9987 .9999 1 .1001 .3671 .6785 .8862 .9727 .9958 .9996 1 .0751 .3003 .6007 .8343 .9511.9900 .9987 .9999 1 0.30 .7000 1 .4900 .9100 1 .3430 .7840 .9730 1 .2401 .6517 .9163 .9919 1 .1681 .5282 .8369 .9692 .9976 1 .1176 .4202 .7443 .9295 .9891 .9993 1 .0824 .3294 .6471 .8740 .9712 .9962 .9998 1 .0576 .2553 .5518 .8059 .9420 .9887 .9987 .9999 1 .0404 .1960 .4628 .7297 .9012 .9747 .9957 .9996 1

n i n−i pq i
0.35 .6500 1 .4225 .8775 1 .2746 .7183 .9571 1 .1785 .5630 .8735 .9850 1 .1160.4284 .7648 .9460 .9947 1 .0754 .3191 .6471 .8826 .9777 .9982 1 .0490 .2338 .5323 .8002 .9444 .9910 .9994 1 .0319 .1691 .4278 .7064 .8939 .9747 .9964 .9998 1 .0207 .1211 .3373 .6089 .8283 .9464 .9888 .9986 .9999 1 0.40 .6000 1 .3600 .8400 1 .2160 .6480 .9360 1 .1296 .4752 .8208 .9744 1 .0778 .3370 .6826 .9130 .9898 1 .0467 .2333 .5443 .8208 .9590 .9959 1 .0280 .1586 .4199 .7102 .9037 .9812 .9984 1.0168 .1064 .3154 .5941 .8263 .9502 .9915 .9993 1 .0101 .0705 .2318 .4826 .7334 .9006 .9750 .9962 .9997 1 0.45 .5500 1 .3025 .7975 1 .1664 .5748 .9089 1 .0915 .3910 .7585 .9590 1 .0503 .2562 .5931 .8688 .9815 1 .0277 .1636 .4415 .7447 .9308 .9917 1 .0152 .1024 .3164 .6083 .8471 .9643 .9963 1 .0084 .0632 .2201 .4770 .7396 .9115 .9819 .9983 1 .0046 .0385 .1495 .3614 .6214 .8342 .9502 .9909 .9992 10.50 .5000 1 .2500 .7500 1 .1250 .5000 .8750 1 .0625 .3125 .6875 .9375 1 .0313 .1875 .5000 .8125 .9688 1 .0156 .1094 .3438 .6563 .8906 .9844 1 .0078 .0625 .2266 .5000 .7734 .9375 .9922 1 .0039 .0352 .1445 .3633 .6367 .8555 .9648 .9961 1 .0020 .0195 .0898 .2539 .5000 .7461 .9102 .9805 .9980 1

2

3

4

.9510 .9990 1

5

.9415 .9985 1

.7351 .9672 .9978 .9999 1

1/3 .6667 1 .4444.8889 1 .2963 .7407 .9630 1 .1975 .5926 .8889 .9877 1 .1317 .4609 .7901 .9547 .9959 1 .0878 .3512 .6804 .8999 .9822 .9986 1 .0585 .2634 .5706 .8267 .9547 .9931 .9995 1 .0390 .1951 .4682 .7414 .9121 .9803 .9974 .9998 1 .0260 .1431 .3772 .6503 .8552 .9576 .9917 .9990 .9999 1

6

.9321 .9980 1

.6983 .9556 .9962 .9998 1

7

.9227 .9973 .9999 1

.6634 .9428 .9942 .9996 1

.4305 .8131 .9619.9950 .9996 1

.9135 .9966 .9999 1

9

.6302 .9288 .9916 .9994 1

.3874 .7748 .9470 .9917 .9991 .9999 1

.2316 .5995 .8591 .9661 .9944 .9994 1

Binomial-1

k

Binomial B(n, p) : F (k) =
i=0
n k 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 12 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0.01 .9044 .9957 .9999 1 0.05 .5987 .9139 .9885 .9990 .9999 1 0.10 .3487.7361 .9298 .9872 .9984 .9999 1 0.15 .1969 .5443 .8202 .9500 .9901 .9986 .9999 1 0.20 .1074 .3758 .6778 .8791 .9672 .9936 .9991 .9999 1 0.25 .0563 .2440 .5256 .7759 .9219 .9803 .9965 .9996 1 0.30 .0282 .1493 .3828 .6496 .8497 .9527 .9894 .9984 .9999 1 .0198 .1130 .3127 .5696 .7897 .9218 .9784 .9957 .9994 1

n i n−i pq i
0.35 .0135 .0860 .2616 .5138 .7515 .9051 .9740 .9952 .9995 1 .0088 .0606...