A.3-1
Table A.3
Values for the Cumulative Poisson Probability Distribution¥
P(n ³ X) = å n=X mne-m /n!
Values of m
X .001 .002 .003 .004 .005 .006 .007 .008 .009 0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1 .0010 .0020 .0030 .0040 .0050 .0060 .0070 .0080 .0090 Values of m X .01 .02 .03 .04 .05 .06 .07 .08 .09 0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1 .0100 .0198 .0296 .0392 .0488 .0582 .0676 .0769 .0861 2 .0002 .0004 .0008 .0012 .0017 .0023 .0030 .0038 3 .0001 .0001 .0001 Values of m X .10 .11 .12 .13 .14 .15 .16 .17 .18 .19 0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1 .0952 .1042 .1131 .1219 .1306 .1393 .1479 .1563 .1647 .1730 2 .0047 .0056 .0066 .0078 .0089 .0102 .0115 .0129 .0144 .0159 3 .0002 .0002 .0003 .0003 .0004 .0005 .0006 .0007 .0008 .0010 Values of m X .20 .22 .24 .26 .28 .30 .32 .34 .36 .38 0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1 .1813 .1975 .2134 .2289 .2442 .2592 .2739 .2882 .3023 .3161 2 .0175 .0209 .0246 .0285 .0326 .0369 .0415 .0462 .0512 .0563 3 .0011 .0015 .0019 .0024 .0030 .0036 .0043 .0051 .0060 .0069 4 .0001 .0001 .0001 .0002 .0002 .0003 .0003 .0004 .0005 .0006 Values of m X .40 .42 .44 .46 .48 .50 .52 .54 .56 .58 0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1 .3297 .3430 .3560 .3687 .3812 .3935 .4055 .4173 .4288 .4401 2 .0616 .0670 .0726 .0783 .0842 .0902 .0963 .1026 .1089 .1154 3 .0079 .0090 .0102 .0115 .0129 .0144 .0159 .0176 .0193 .0212 4 .0008 .0009 .0011 .0013 .0015 .0018 .0020 .0023 .0026 .0030 5 .0001 .0001 .0001 .0001 .0001 .0002 .0002 .0002 .0003 .0003 Values of m X .60 .62 .64 .66 .68 .70 .72 .74 .76 .78 0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1 .4512 .4621 .4727 .4831 .4934 .5034 .5132 .5229 .5323 .5416 2 .1219 .1285 .1352 .1420 .1489 .1558 .1628 .1698 .1769 .1840 3 .0231 .0251 .0273 .0295 .0318 .0341 .0366 .0392 .0418 .0446 4 .0034 .0038 .0042 .0047 .0052 .0058 .0063 .0070 .0076 .0083 5 .0004 .0005 .0005 .0006 .0007 .0008 .0009 .0010 .0011 .0013 6 .0001 .0001 .0001 .0001 .0001 .0001 .0001 .0002 A.3-2 Table A.3(Continued) Values for the Cumulative Poisson Probability Distribution Values of m X .80 .82 .84 .86 .88 .90 .92 .94 .96 .98 0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1 .5507 .5596 .5683 .5768 .5852 .5934 .6015 .6094 .6171 .6247 2 .1912 .1984 .2057 .2129 .2202 .2275 .2348 .2422 .2495 .2569 3 .0474 .0503 .0533 .0564 .0596 .0629 .0662 .0696 .0731 .0767 4 .0091 .0099 .0107 .0116 .0125 .0135 .0145 .0155 .0166 .0178 5 .0014 .0016 .0017 .0019 .0021 .0023 .0026 .0028 .0031 .0034 6 .0002 .0002 .0002 .0003 .0003 .0003 .0004 .0004 .0005 .0005 7 .0001 .0001 .0001 Values of m X 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1 .6321 .6671 .6988 .7275 .7534 .7769 .7981 .8173 .8347 .8504 2 .2642 .3010 .3374 .3732 .4082 .4422 .4751 .5068 .5372 .5663 3 .0803 .0996 .1205 .1429 .1665 .1912 .2166 .2428 .2694 .2963 4 .0190 .0257 .0338 .0431 .0537 .0656 .0788 .0932 .1087 .1253 5 .0037 .0054 .0077 .0107 .0143 .0186 .0237 .0296 .0364 .0441 6 .0006 .0010 .0015 .0022 .0032 .0045 .0060 .0080 .0104 .0132 7 .0001 .0001 .0003 .0004 .0006 .0009 .0013 .0019 .0026 .0034 8 .0001 .0001 .0002 .0003 .0004 .0006 .0008 9 .0001 .0001 .0002 Values of m X 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1 .8647 .8775 .8892 .8997 .9093 .9179 .9257 .9328 .9392 .9450 2 .5940 .6204 .6454 .6691 .6916 .7127 .7326 .7513 .7689 .7854 3 .3233 .3504 .3773 .4040 .4303 .4562 .4816 .5064 .5305 .5540 4 .1429 .1614 .1806 .2007 .2213 .2424 .2640 .2859 .3081 .3304 5 .0527 .0621 .0725 .0838 .0959 .1088 .1226 .1371 .1523 .1682 6 .0166 .0204 .0249 .0300 .0357 .0420 .0490 .0567 .0651 .0742 7 .0045 .0059 .0075 .0094 .0116 .0142 .0172 .0206 .0244 .0287 8 .0011 .0015 .0020 .0026 .0033 .0042 .0053 .0066 .0081 .0099 9 .0002 .0003 .0005 .0006 .0009 .0011 .0015 .0019 .0024 .0031 10 .0001 .0001 .0001 .0002 .0003 .0004 .0005 .0007 .0009 11 .0001 .0001 .0001 .0002 .0002 12 .0001 A.3-3 Table A.3(Continued) Values for the Cumulative Poisson Probability Distribution Values of m X 3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1 .9502 .9550 .9592 .9631 .9666 .9698 .9727 .9753 .9776 .9798 2 .8009 .8153 .8288 .8414 .8532 .8641 .8743 .8838 .8926 .9008 3 .5768 .5988 .6201 .6406 .6603 .6792 .6973 .7146 .7311 .7469 4 .3528 .3752 .3975 .4197 .4416 .4634 .4848 .5058 .5265 .5468 5 .1847 .2018 .2194 .2374 .2558 .2746 .2936 .3128 .3322 .3516 6 .0839 .0943 .1054 .1171 .1295 .1424 .1559 .1699 .1844 .1994 7 .0335 .0388 .0446 .0510 .0579 .0653 .0733 .0818 .0909 .1005 8 .0119 .0142 .0168 .0198 .0231 .0267 .0308 .0352 .0401 .0454 9 .0038 .0047 .0057 .0069 .0083 .0099 .0117 .0137 .0160 .0185 10 .0011 .0014 .0018 .0022 .0027 .0033 .0040 .0048 .0058 .0069 11 .0003 .0004 .0005 .0006 .0008 .0010 .0013 .0016 .0019 .0023 12 .0001 .0001 .0001 .0002 .0002 .0003 .0004 .0005 .0006 .0007 13 .0001 .0001 .0001 .0001 .0002 .0002 14 .0001 Values of m X 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1 .9817 .9834 .9850 .9864 .9877 .9889 .9899 .9909 .9918 .9926 2 .9084 .9155 .9220 .9281 .9337 .9389 .9437 .9482 .9523 .9561 3 .7619 .7762 .7898 .8026 .8149 .8264 .8374 .8477 .8575 .8667 4 .5665 .5858 .6046 .6228 .6406 .6577 .6743 .6903 .7058 .7207 5 .3712 .3907 .4102 .4296 .4488 .4679 .4868 .5054 .5237 .5418 6 .2149 .2307 .2469 .2633 .2801 .2971 .3142 .3316 .3490 .3665 7 .1107 .1214 .1325 .1442 .1564 .1689 .1820 .1954 .2092 .2233 8 .0511 .0573 .0639 .0710 .0786 .0866 .0951 .1040 .1133 .1231 9 .0214 .0245 .0279 .0317 .0358 .0403 .0451 .0503 .0558 .0618 10 .0081 .0095 .0111 .0129 .0149 .0171 .0195 .0222 .0251 .0283 11 .0028 .0034 .0041 .0048 .0057 .0067 .0078 .0090 .0104 .0120 12 .0009 .0011 .0014 .0017 .0020 .0024 .0029 .0034 .0040 .0047 13 .0003 .0003 .0004 .0005 .0007 .0008 .0010 .0012 .0014 .0017 14 .0001 .0001 .0001 .0002 .0002 .0003 .0003 .0004 .0005 .0006 15 .0001 .0001 .0001 .0001 .0001 .0002 16 .0001 A.3-4 Table A.3(Continued) Values for the Cumulative Poisson Probability Distribution Values of m X 5.0 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1 .9933 .9939 .9945 .9950 .9955 .9959 .9963 .9967 .9970 .9973 2 .9596 .9628 .9658 .9686 .9711 .9734 .9756 .9776 .9794 .9811 3 .8753 .8835 .8912 .8984 .9052 .9116 .9176 .9232 .9285 .9334 4 .7350 .7487 .7619 .7746 .7867 .7983 .8094 .8200 .8300 .8396 5 .5595 .5769 .5939 .6105 .6267 .6425 .6578 .6728 .6873 .7013 6 .3840 .4016 .4191 .4365 .4539 .4711 .4881 .5050 .5217 .5381 7 .2378 .2526 .2676 .2829 .2983 .3140 .3297 .3456 .3616 .3776 8 .1334 .1440 .1551 .1665 .1783 .1905 .2030 .2159 .2290 .2424 9 .0681 .0748 .0819 .0894 .0973 .1056 .1143 .1234 .1328 .1426 10 .0318 .0356 .0397 .0441 .0488 .0538 .0591 .0648 .0708 .0772 11 .0137 .0156 .0177 .0200 .0225 .0253 .0282 .0314 .0349 .0386 12 .0055 .0063 .0073 .0084 .0096 .0110 .0125 .0141 .0159 .0179 13 .0020 .0024 .0028 .0033 .0038 .0045 .0051 .0059 .0068 .0078 14 .0007 .0008 .0010 .0012 .0014 .0017 .0020 .0023 .0027 .0031 15 .0002 .0003 .0003 .0004 .0005 .0006 .0007 .0009 .0010 .0012 16 .0001 .0001 .0001 .0001 .0002 .0002 .0002 .0003 .0004 .0004 17 .0001 .0001 .0001 .0001 .0001 .0001 Values of m X 6.0 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1 .9975 .9978 .9980 .9982 .9983 .9985 .9986 .9988 .9989 .9990 2 .9826 .9841 .9854 .9866 .9877 .9887 .9897 .9905 .9913 .9920 3 .9380 .9423 .9464 .9502 .9537 .9570 .9600 .9629 .9656 .9680 4 .8488 .8575 .8658 .8736 .8811 .8882 .8948 .9012 .9072 .9129 5 .7149 .7281 .7408 .7531 .7649 .7763 .7873 .7978 .8080 .8177 6 .5543 .5702 .5859 .6012 .6163 .6310 .6453 .6594 .6730 .6863 7 .3937 .4098 .4258 .4418 .4577 .4735 .4892 .5047 .5201 .5353 8 .2560 .2699 .2840 .2983 .3127 .3272 .3419 .3567 .3715 .3864 9 .1528 .1633 .1741 .1852 .1967 .2084 .2204 .2327 .2452 .2580 10 .0839 .0910 .0984 .1061 .1142 .1226 .1314 .1404 .1498 .1595 11 .0426 .0469 .0514 .0563 .0614 .0668 .0726 .0786 .0849 .0916 12 .0201 .0224 .0250 .0277 .0307 .0339 .0373 .0409 .0448 .0490 13 .0088 .0100 .0113 .0127 .0143 .0160 .0179 .0199 .0221 .0245 14 .0036 .0042 .0048 .0055 .0063 .0071 .0080 .0091 .0102 .0115 15 .0014 .0016 .0019 .0022 .0026 .0030 .0034 .0039 .0044 .0050 16 .0005 .0006 .0007 .0008 .0010 .0012 .0014 .0016 .0018 .0021 17 .0002 .0002 .0003 .0003 .0004 .0004 .0005 .0006 .0007 .0008 18 .0001 .0001 .0001 .0001 .0001 .0002 .0002 .0002 .0003 .0003 19 .0001 .0001 .0001 .0001 .0001 A.3-5 Table A.3(Continued) Values for the Cumulative Poisson Probability Distribution Values of m X 7.0 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1 .9991 .9992 .9993 .9993 .9994 .9994 .9995 .9995 .9996 .9996 2 .9927 .9933 .9939 .9944 .9949 .9953 .9957 .9961 .9964 .9967 3 .9704 .9725 .9745 .9764 .9781 .9797 .9812 .9826 .9839 .9851 4 .9182 .9233 .9281 .9326 .9368 .9409 .9446 .9482 .9515 .9547 5 .8270 .8359 .8445 .8527 .8605 .8679 .8751 .8819 .8883 .8945 6 .6993 .7119 .7241 .7360 .7474 .7586 .7693 .7797 .7897 .7994 7 .5503 .5651 .5796 .5940 .6080 .6218 .6354 .6486 .6616 .6743 8 .4013 .4162 .4311 .4459 .4607 .4754 .4900 .5044 .5188 .5330 9 .2709 .2840 .2973 .3108 .3243 .3380 .3518 .3657 .3796 .3935 10 .1695 .1798 .1903 .2012 .2123 .2236 .2351 .2469 .2589 .2710 11 .0985 .1058 .1133 .1212 .1293 .1378 .1465 .1555 .1648 .1743 12 .0533 .0580 .0629 .0681 .0735 .0792 .0852 .0915 .0980 .1048 13 .0270 .0297 .0327 .0358 .0391 .0427 .0464 .0504 .0546 .0591 14 .0128 .0143 .0159 .0176 .0195 .0216 .0238 .0261 .0286 .0313 15 .0057 .0065 .0073 .0082 .0092 .0103 .0114 .0127 .0141 .0156 16 .0024 .0028 .0031 .0036 .0041 .0046 .0052 .0059 .0066 .0074 17 .0010 .0011 .0013 .0015 .0017 .0020 .0022 .0026 .0029 .0033 18 .0004 .0004 .0005 .0006 .0007 .0008 .0009 .0011 .0012 .0014 19 .0001 .0002 .0002 .0002 .0003 .0003 .0004 .0004 .0005 .0006 20 .0001 .0001 .0001 .0001 .0001 .0001 .0002 .0002 .0002 21 .0001 .0001 .0001 Values of m X 8.0 8.1 8.2 8.3 8.4 8.5 8.6 8.7 8.8 8.9 0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1 .9997 .9997 .9997 .9998 .9998 .9998 .9998 .9998 .9998 .9999 2 .9970 .9972 .9975 .9977 .9979 .9981 .9982 .9984 .9985 .9986 3 .9862 .9873 .9882 .9891 .9900 .9907 .9914 .9921 .9927 .9932 4 .9576 .9604 .9630 .9654 .9677 .9699 .9719 .9738 .9756 .9772 5 .9004 .9060 .9113 .9163 .9211 .9256 .9299 .9340 .9379 .9416 6 .8088 .8178 .8264 .8347 .8427 .8504 .8578 .8648 .8716 .8781 7 .6866 .6987 .7104 .7219 .7330 .7438 .7543 .7645 .7744 .7840 8 .5470 .5609 .5746 .5881 .6013 .6144 .6272 .6398 .6522 .6643 9 .4075 .4214 .4353 .4493 .4631 .4769 .4906 .5042 .5177 .5311 10 .2834 .2959 .3085 .3212 .3341 .3470 .3600 .3731 .3863 .3994 11 .1841 .1942 .2044 .2150 .2257 .2366 .2478 .2591 .2706 .2822 12 .1119 .1193 .1269 .1348 .1429 .1513 .1600 .1689 .1780 .1874 13 .0638 .0687 .0739 .0793 .0850 .0909 .0971 .1035 .1102 .1171 14 .0342 .0372 .0405 .0439 .0476 .0514 .0555 .0597 .0642 .0689 15 .0173 .0190 .0209 .0229 .0251 .0274 .0299 .0325 .0353 .0383 16 .0082 .0092 .0102 .0113 .0125 .0138 .0152 .0168 .0184 .0202 17 .0037 .0042 .0047 .0053 .0059 .0066 .0074 .0082 .0091 .0101 18 .0016 .0018 .0021 .0023 .0027 .0030 .0034 .0038 .0043 .0048 19 .0007 .0008 .0009 .0010 .0011 .0013 .0015 .0017 .0019 .0022 20 .0003 .0003 .0003 .0004 .0005 .0005 .0006 .0007 .0008 .0009 21 .0001 .0001 .0001 .0002 .0002 .0002 .0002 .0003 .0003 .0004 22 .0001 .0001 .0001 .0001 .0001 .0001 .0002 23 .0001 A.3-6 Table A.3(Continued) Values for the Cumulative Poisson Probability Distribution Values of m X 9.0 9.1 9.2 9.3 9.4 9.5 9.6 9.7 9.8 9.9 0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1 .9999 .9999 .9999 .9999 .9999 .9999 .9999 .9999 .9999 .9999 2 .9988 .9989 .9990 .9991 .9991 .9992 .9993 .9993 .9994 .9995 3 .9938 .9942 .9947 .9951 .9955 .9958 .9962 .9965 .9967 .9970 4 .9788 .9802 .9816 .9828 .9840 .9851 .9862 .9871 .9880 .9889 5 .9450 .9483 .9514 .9544 .9571 .9597 .9622 .9645 .9667 .9688 6 .8843 .8902 .8959 .9014 .9065 .9115 .9162 .9207 .9250 .9290 7 .7932 .8022 .8108 .8192 .8273 .8351 .8426 .8498 .8567 .8634 8 .6761 .6877 .6990 .7100 .7208 .7313 .7416 .7515 .7612 .7706 9 .5443 .5574 .5704 .5832 .5958 .6082 .6204 .6324 .6442 .6558 10 .4126 .4258 .4389 .4521 .4651 .4782 .4911 .5040 .5168 .5295 11 .2940 .3059 .3180 .3301 .3424 .3547 .3671 .3795 .3920 .4045 12 .1970 .2068 .2168 .2270 .2374 .2480 .2588 .2697 .2807 .2919 13 .1242 .1316 .1393 .1471 .1552 .1636 .1721 .1809 .1899 .1991 14 .0739 .0790 .0844 .0900 .0958 .1019 .1081 .1147 .1214 .1284 15 .0415 .0448 .0483 .0520 .0559 .0600 .0643 .0688 .0735 .0784 16 .0220 .0240 .0262 .0285 .0309 .0335 .0362 .0391 .0421 .0454 17 .0111 .0122 .0135 .0148 .0162 .0177 .0194 .0211 .0230 .0249 18 .0053 .0059 .0066 .0073 .0081 .0089 .0098 .0108 .0119 .0130 19 .0024 .0027 .0031 .0034 .0038 .0043 .0048 .0053 .0059 .0065 20 .0011 .0012 .0014 .0015 .0017 .0020 .0022 .0025 .0028 .0031 21 .0004 .0005 .0006 .0007 .0008 .0009 .0010 .0011 .0013 .0014 22 .0002 .0002 .0002 .0003 .0003 .0004 .0004 .0005 .0005 .0006 23 .0001 .0001 .0001 .0001 .0001 .0001 .0002 .0002 .0002 .0003 24 .0001 .0001 .0001 .0001 .0001 A.3-7 Table A.3(Continued) Values for the Cumulative Poisson Probability Distribution Values of m X 10.0 0 1.000 1 1.000 2 .9995 3 .9972 4 .9897 5 .9707 6 .9329 7 .8699 8 .7798 9 .6672 10 .5421 11 .4170 12 .3032 13 .2084 14 .1355 15 .0835 16 .0487 17 .0270 18 .0143 19 .0072 20 .0035 21 .0016 22 .0007 23 .0003 24 .0001