A.2-1
Table A.2
Values for the Poisson Probability DistributionP(n) = mne-m/n!
Values of m
n .001 .002 .003 .004 .005 .006 .007 .008 .009 0 .9990 .9980 .9970 .9960 .9950 .9940 .9930 .9920 .9910 1 .0010 .0020 .0030 .0040 .0050 .0060 .0070 .0079 .0089 Values of m n .01 .02 .03 .04 .05 .06 .07 .08 .09 0 .9900 .9802 .9704 .9608 .9512 .9418 .9324 .9231 .9139 1 .0099 .0196 .0291 .0384 .0476 .0565 .0653 .0738 .0823 2 .0002 .0004 .0008 .0012 .0017 .0023 .0030 .0037 3 .0001 .0001 .0001 Values of m n .10 .11 .12 .13 .14 .15 .16 .17 .18 .19 0 .9048 .8958 .8869 .8781 .8694 .8607 .8521 .8437 .8353 .8270 1 .0905 .0985 .1064 .1142 .1217 .1291 .1363 .1434 .1503 .1571 2 .0045 .0054 .0064 .0074 .0085 .0097 .0109 .0122 .0135 .0149 3 .0002 .0002 .0003 .0003 .0004 .0005 .0006 .0007 .0008 .0009 Values of m n .20 .22 .24 .26 .28 .30 .32 .34 .36 .38 0 .8187 .8025 .7866 .7711 .7558 .7408 .7261 .7118 .6977 .6839 1 .1637 .1766 .1888 .2005 .2116 .2222 .2324 .2420 .2512 .2599 2 .0164 .0194 .0227 .0261 .0296 .0333 .0372 .0411 .0452 .0494 3 .0011 .0014 .0018 .0023 .0028 .0033 .0040 .0047 .0054 .0063 4 .0001 .0001 .0001 .0001 .0002 .0003 .0003 .0004 .0005 .0006 Values of m n .40 .42 .44 .46 .48 .50 .52 .54 .56 .58 0 .6703 .6570 .6440 .6313 .6188 .6065 .5945 .5827 .5712 .5599 1 .2681 .2760 .2834 .2904 .2970 .3033 .3092 .3147 .3199 .3247 2 .0536 .0580 .0623 .0668 .0713 .0758 .0804 .0850 .0896 .0942 3 .0072 .0081 .0091 .0102 .0114 .0126 .0139 .0153 .0167 .0182 4 .0007 .0009 .0010 .0012 .0014 .0016 .0018 .0021 .0023 .0026 5 .0001 .0001 .0001 .0001 .0001 .0002 .0002 .0002 .0003 .0003 Values of m n .60 .62 .64 .66 .68 .70 .72 .74 .76 .78 0 .5488 .5379 .5273 .5169 .5066 .4966 .4868 .4771 .4677 .4584 1 .3293 .3335 .3375 .3411 .3445 .3476 .3505 .3531 .3554 .3576 2 .0988 .1034 .1080 .1126 .1171 .1217 .1262 .1306 .1351 .1394 3 .0198 .0214 .0230 .0248 .0265 .0284 .0303 .0322 .0342 .0363 4 .0030 .0033 .0037 .0041 .0045 .0050 .0055 .0060 .0065 .0071 5 .0004 .0004 .0005 .0005 .0006 .0007 .0008 .0009 .0010 .0011 6 .0001 .0001 .0001 .0001 .0001 .0001 .0001 .0001 Values of m n .80 .82 .84 .86 .88 .90 .92 .94 .96 .98 0 .4493 .4404 .4317 .4232 .4148 .4066 .3985 .3906 .3829 .3753 1 .3595 .3612 .3626 .3639 .3650 .3659 .3666 .3672 .3676 .3678 2 .1438 .1481 .1523 .1565 .1606 .1647 .1687 .1726 .1764 .1802 3 .0383 .0405 .0426 .0449 .0471 .0494 .0517 .0541 .0565 .0589 4 .0077 .0083 .0090 .0096 .0104 .0111 .0119 .0127 .0136 .0144 5 .0012 .0014 .0015 .0017 .0018 .0020 .0022 .0024 .0026 .0028 6 .0002 .0002 .0002 .0002 .0003 .0003 .0003 .0004 .0004 .0005 7 .0001 .0001 .0001 A.2-2 Table A.2(Continued) Values for the Poisson Probability Distribution Values of m n 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 0 .3679 .3329 .3012 .2725 .2466 .2231 .2019 .1827 .1653 .1496 1 .3679 .3662 .3614 .3543 .3452 .3347 .3230 .3106 .2975 .2842 2 .1839 .2014 .2169 .2303 .2417 .2510 .2584 .2640 .2678 .2700 3 .0613 .0738 .0867 .0998 .1128 .1255 .1378 .1496 .1607 .1710 4 .0153 .0203 .0260 .0324 .0395 .0471 .0551 .0636 .0723 .0812 5 .0031 .0045 .0062 .0084 .0111 .0141 .0176 .0216 .0260 .0309 6 .0005 .0008 .0012 .0018 .0026 .0035 .0047 .0061 .0078 .0098 7 .0001 .0001 .0002 .0003 .0005 .0008 .0011 .0015 .0020 .0027 8 .0001 .0001 .0001 .0002 .0003 .0005 .0006 9 .0001 .0001 .0001 Values of m n 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 0 .1353 .1225 .1108 .1003 .0907 .0821 .0743 .0672 .0608 .0550 1 .2707 .2572 .2438 .2306 .2177 .2052 .1931 .1815 .1703 .1596 2 .2707 .2700 .2681 .2652 .2613 .2565 .2510 .2450 .2384 .2314 3 .1804 .1890 .1966 .2033 .2090 .2138 .2176 .2205 .2225 .2237 4 .0902 .0992 .1082 .1169 .1254 .1336 .1414 .1488 .1557 .1622 5 .0361 .0417 .0476 .0538 .0602 .0668 .0735 .0804 .0872 .0940 6 .0120 .0146 .0174 .0206 .0241 .0278 .0319 .0362 .0407 .0455 7 .0034 .0044 .0055 .0068 .0083 .0099 .0118 .0139 .0163 .0188 8 .0009 .0011 .0015 .0019 .0025 .0031 .0038 .0047 .0057 .0068 9 .0002 .0003 .0004 .0005 .0007 .0009 .0011 .0014 .0018 .0022 10 .0001 .0001 .0001 .0002 .0002 .0003 .0004 .0005 .0006 11 .0001 .0001 .0001 .0002 Values of m n 3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 0 .0498 .0450 .0408 .0369 .0334 .0302 .0273 .0247 .0224 .0202 1 .1494 .1397 .1304 .1217 .1135 .1057 .0984 .0915 .0850 .0789 2 .2240 .2165 .2087 .2008 .1929 .1850 .1771 .1692 .1615 .1539 3 .2240 .2237 .2226 .2209 .2186 .2158 .2125 .2087 .2046 .2001 4 .1680 .1733 .1781 .1823 .1858 .1888 .1912 .1931 .1944 .1951 5 .1008 .1075 .1140 .1203 .1264 .1322 .1377 .1429 .1477 .1522 6 .0504 .0555 .0608 .0662 .0716 .0771 .0826 .0881 .0936 .0989 7 .0216 .0246 .0278 .0312 .0348 .0385 .0425 .0466 .0508 .0551 8 .0081 .0095 .0111 .0129 .0148 .0169 .0191 .0215 .0241 .0269 9 .0027 .0033 .0040 .0047 .0056 .0066 .0076 .0089 .0102 .0116 10 .0008 .0010 .0013 .0016 .0019 .0023 .0028 .0033 .0039 .0045 11 .0002 .0003 .0004 .0005 .0006 .0007 .0009 .0011 .0013 .0016 12 .0001 .0001 .0001 .0001 .0002 .0002 .0003 .0003 .0004 .0005 13 .0001 .0001 .0001 .0001 .0002 A.2-3 Table A.2(Continued) Values for the Poisson Probability Distribution Values of m n 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 0 .0183 .0166 .0150 .0136 .0123 .0111 .0101 .0091 .0082 .0074 1 .0733 .0679 .0630 .0583 .0540 .0500 .0462 .0427 .0395 .0365 2 .1465 .1393 .1323 .1254 .1188 .1125 .1063 .1005 .0948 .0894 3 .1954 .1904 .1852 .1798 .1743 .1687 .1631 .1574 .1517 .1460 4 .1954 .1951 .1944 .1933 .1917 .1898 .1875 .1849 .1820 .1789 5 .1563 .1600 .1633 .1662 .1687 .1708 .1725 .1738 .1747 .1753 6 .1042 .1093 .1143 .1191 .1237 .1281 .1323 .1362 .1398 .1432 7 .0595 .0640 .0686 .0732 .0778 .0824 .0869 .0914 .0959 .1002 8 .0298 .0328 .0360 .0393 .0428 .0463 .0500 .0537 .0575 .0614 9 .0132 .0150 .0168 .0188 .0209 .0232 .0255 .0281 .0307 .0334 10 .0053 .0061 .0071 .0081 .0092 .0104 .0118 .0132 .0147 .0164 11 .0019 .0023 .0027 .0032 .0037 .0043 .0049 .0056 .0064 .0073 12 .0006 .0008 .0009 .0011 .0013 .0016 .0019 .0022 .0026 .0030 13 .0002 .0002 .0003 .0004 .0005 .0006 .0007 .0008 .0009 .0011 14 .0001 .0001 .0001 .0001 .0001 .0002 .0002 .0003 .0003 .0004 15 .0001 .0001 .0001 .0001 .0001 Values of m n 5.0 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 0 .0067 .0061 .0055 .0050 .0045 .0041 .0037 .0033 .0030 .0027 1 .0337 .0311 .0287 .0265 .0244 .0225 .0207 .0191 .0176 .0162 2 .0842 .0793 .0746 .0701 .0659 .0618 .0580 .0544 .0509 .0477 3 .1404 .1348 .1293 .1239 .1185 .1133 .1082 .1033 .0985 .0938 4 .1755 .1719 .1681 .1641 .1600 .1558 .1515 .1472 .1428 .1383 5 .1755 .1753 .1748 .1740 .1728 .1714 .1697 .1678 .1656 .1632 6 .1462 .1490 .1515 .1537 .1555 .1571 .1584 .1594 .1601 .1605 7 .1044 .1086 .1125 .1163 .1200 .1234 .1267 .1298 .1326 .1353 8 .0653 .0692 .0731 .0771 .0810 .0849 .0887 .0925 .0962 .0998 9 .0363 .0392 .0423 .0454 .0486 .0519 .0552 .0586 .0620 .0654 10 .0181 .0200 .0220 .0241 .0262 .0285 .0309 .0334 .0359 .0386 11 .0082 .0093 .0104 .0116 .0129 .0143 .0157 .0173 .0190 .0207 12 .0034 .0039 .0045 .0051 .0058 .0065 .0073 .0082 .0092 .0102 13 .0013 .0015 .0018 .0021 .0024 .0028 .0032 .0036 .0041 .0046 14 .0005 .0006 .0007 .0008 .0009 .0011 .0013 .0015 .0017 .0019 15 .0002 .0002 .0002 .0003 .0003 .0004 .0005 .0006 .0007 .0008 16 .0001 .0001 .0001 .0001 .0001 .0002 .0002 .0002 .0003 17 .0001 .0001 .0001 .0001 A.2-4 Table A.2(Continued) Values for the Poisson Probability Distribution Values of m n 6.0 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 0 .0025 .0022 .0020 .0018 .0017 .0015 .0014 .0012 .0011 .0010 1 .0149 .0137 .0126 .0116 .0106 .0098 .0090 .0082 .0076 .0070 2 .0446 .0417 .0390 .0364 .0340 .0318 .0296 .0276 .0258 .0240 3 .0892 .0848 .0806 .0765 .0726 .0688 .0652 .0617 .0584 .0552 4 .1339 .1294 .1249 .1205 .1162 .1118 .1076 .1034 .0992 .0952 5 .1606 .1579 .1549 .1519 .1487 .1454 .1420 .1385 .1349 .1314 6 .1606 .1605 .1601 .1595 .1586 .1575 .1562 .1546 .1529 .1511 7 .1377 .1399 .1418 .1435 .1450 .1462 .1472 .1480 .1486 .1489 8 .1033 .1066 .1099 .1130 .1160 .1188 .1215 .1240 .1263 .1284 9 .0688 .0723 .0757 .0791 .0825 .0858 .0891 .0923 .0954 .0985 10 .0413 .0441 .0469 .0498 .0528 .0558 .0588 .0618 .0649 .0679 11 .0225 .0244 .0265 .0285 .0307 .0330 .0353 .0377 .0401 .0426 12 .0113 .0124 .0137 .0150 .0164 .0179 .0194 .0210 .0227 .0245 13 .0052 .0058 .0065 .0073 .0081 .0089 .0099 .0108 .0119 .0130 14 .0022 .0025 .0029 .0033 .0037 .0041 .0046 .0052 .0058 .0064 15 .0009 .0010 .0012 .0014 .0016 .0018 .0020 .0023 .0026 .0029 16 .0003 .0004 .0005 .0005 .0006 .0007 .0008 .0010 .0011 .0013 17 .0001 .0001 .0002 .0002 .0002 .0003 .0003 .0004 .0004 .0005 18 .0001 .0001 .0001 .0001 .0001 .0001 .0002 .0002 19 .0001 .0001 .0001 Values of m n 7.0 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 0 .0009 .0008 .0007 .0007 .0006 .0006 .0005 .0005 .0004 .0004 1 .0064 .0059 .0054 .0049 .0045 .0041 .0038 .0035 .0032 .0029 2 .0223 .0208 .0194 .0180 .0167 .0156 .0145 .0134 .0125 .0116 3 .0521 .0492 .0464 .0438 .0413 .0389 .0366 .0345 .0324 .0305 4 .0912 .0874 .0836 .0799 .0764 .0729 .0696 .0663 .0632 .0602 5 .1277 .1241 .1204 .1167 .1130 .1094 .1057 .1021 .0986 .0951 6 .1490 .1468 .1445 .1420 .1394 .1367 .1339 .1311 .1282 .1252 7 .1490 .1489 .1486 .1481 .1474 .1465 .1454 .1442 .1428 .1413 8 .1304 .1321 .1337 .1351 .1363 .1373 .1381 .1388 .1392 .1395 9 .1014 .1042 .1070 .1096 .1121 .1144 .1167 .1187 .1207 .1224 10 .0710 .0740 .0770 .0800 .0829 .0858 .0887 .0914 .0941 .0967 11 .0452 .0478 .0504 .0531 .0558 .0585 .0613 .0640 .0667 .0695 12 .0263 .0283 .0303 .0323 .0344 .0366 .0388 .0411 .0434 .0457 13 .0142 .0154 .0168 .0181 .0196 .0211 .0227 .0243 .0260 .0278 14 .0071 .0078 .0086 .0095 .0104 .0113 .0123 .0134 .0145 .0157 15 .0033 .0037 .0041 .0046 .0051 .0057 .0062 .0069 .0075 .0083 16 .0014 .0016 .0019 .0021 .0024 .0026 .0030 .0033 .0037 .0041 17 .0006 .0007 .0008 .0009 .0010 .0012 .0013 .0015 .0017 .0019 18 .0002 .0003 .0003 .0004 .0004 .0005 .0006 .0006 .0007 .0008 19 .0001 .0001 .0001 .0001 .0002 .0002 .0002 .0003 .0003 .0003 20 .0001 .0001 .0001 .0001 .0001 .0001 .0001 21 .0001 A.2-5 Table A.2(Continued) Values for the Poisson Probability Distribution Values of m n 8.0 8.1 8.2 8.3 8.4 8.5 8.6 8.7 8.8 8.9 0 .0003 .0003 .0003 .0002 .0002 .0002 .0002 .0002 .0002 .0001 1 .0027 .0025 .0023 .0021 .0019 .0017 .0016 .0014 .0013 .0012 2 .0107 .0100 .0092 .0086 .0079 .0074 .0068 .0063 .0058 .0054 3 .0286 .0269 .0252 .0237 .0222 .0208 .0195 .0183 .0171 .0160 4 .0573 .0544 .0517 .0491 .0466 .0443 .0420 .0398 .0377 .0357 5 .0916 .0882 .0849 .0816 .0784 .0752 .0722 .0692 .0663 .0635 6 .1221 .1191 .1160 .1128 .1097 .1066 .1034 .1003 .0972 .0941 7 .1396 .1378 .1358 .1338 .1317 .1294 .1271 .1247 .1222 .1197 8 .1396 .1395 .1392 .1388 .1382 .1375 .1366 .1356 .1344 .1332 9 .1241 .1256 .1269 .1280 .1290 .1299 .1306 .1311 .1315 .1317 10 .0993 .1017 .1040 .1063 .1084 .1104 .1123 .1140 .1157 .1172 11 .0722 .0749 .0776 .0802 .0828 .0853 .0878 .0902 .0925 .0948 12 .0481 .0505 .0530 .0555 .0579 .0604 .0629 .0654 .0679 .0703 13 .0296 .0315 .0334 .0354 .0374 .0395 .0416 .0438 .0459 .0481 14 .0169 .0182 .0196 .0210 .0225 .0240 .0256 .0272 .0289 .0306 15 .0090 .0098 .0107 .0116 .0126 .0136 .0147 .0158 .0169 .0182 16 .0045 .0050 .0055 .0060 .0066 .0072 .0079 .0086 .0093 .0101 17 .0021 .0024 .0026 .0029 .0033 .0036 .0040 .0044 .0048 .0053 18 .0009 .0011 .0012 .0014 .0015 .0017 .0019 .0021 .0024 .0026 19 .0004 .0005 .0005 .0006 .0007 .0008 .0009 .0010 .0011 .0012 20 .0002 .0002 .0002 .0002 .0003 .0003 .0004 .0004 .0005 .0005 21 .0001 .0001 .0001 .0001 .0001 .0001 .0002 .0002 .0002 .0002 22 .0001 .0001 .0001 .0001 .0001 Values of m n 9.0 9.1 9.2 9.3 9.4 9.5 9.6 9.7 9.8 9.9 0 .0001 .0001 .0001 .0001 .0001 .0001 .0001 .0001 .0001 .0001 1 .0011 .0010 .0009 .0009 .0008 .0007 .0007 .0006 .0005 .0005 2 .0050 .0046 .0043 .0040 .0037 .0034 .0031 .0029 .0027 .0025 3 .0150 .0140 .0131 .0123 .0115 .0107 .0100 .0093 .0087 .0081 4 .0337 .0319 .0302 .0285 .0269 .0254 .0240 .0226 .0213 .0201 5 .0607 .0581 .0555 .0530 .0506 .0483 .0460 .0439 .0418 .0398 6 .0911 .0881 .0851 .0822 .0793 .0764 .0736 .0709 .0682 .0656 7 .1171 .1145 .1118 .1091 .1064 .1037 .1010 .0982 .0955 .0928 8 .1318 .1302 .1286 .1269 .1251 .1232 .1212 .1191 .1170 .1148 9 .1318 .1317 .1315 .1311 .1306 .1300 .1293 .1284 .1274 .1263 10 .1186 .1198 .1210 .1219 .1228 .1235 .1241 .1245 .1249 .1250 11 .0970 .0991 .1012 .1031 .1049 .1067 .1083 .1098 .1112 .1125 12 .0728 .0752 .0776 .0799 .0822 .0844 .0866 .0888 .0908 .0928 13 .0504 .0526 .0549 .0572 .0594 .0617 .0640 .0662 .0685 .0707 14 .0324 .0342 .0361 .0380 .0399 .0419 .0439 .0459 .0479 .0500 15 .0194 .0208 .0221 .0235 .0250 .0265 .0281 .0297 .0313 .0330 16 .0109 .0118 .0127 .0137 .0147 .0157 .0168 .0180 .0192 .0204 17 .0058 .0063 .0069 .0075 .0081 .0088 .0095 .0103 .0111 .0119 18 .0029 .0032 .0035 .0039 .0042 .0046 .0051 .0055 .0060 .0065 19 .0014 .0015 .0017 .0019 .0021 .0023 .0026 .0028 .0031 .0034 20 .0006 .0007 .0008 .0009 .0010 .0011 .0012 .0014 .0015 .0017 21 .0003 .0003 .0003 .0004 .0004 .0005 .0006 .0006 .0007 .0008 22 .0001 .0001 .0001 .0002 .0002 .0002 .0002 .0003 .0003 .0004 23 .0001 .0001 .0001 .0001 .0001 .0001 .0001 .0002 24 .0001 .0001 A.2-6 Table A.2(Continued) Values for the Poisson Probability Distribution Value of m n 10.0 0 .0000 1 .0005 2 .0023 3 .0076 4 .0189 5 .0378 6 .0631 7 .0901 8 .1126 9 .1251 10 .1251 11 .1137 12 .0948 13 .0729 14 .0521 15 .0347 16 .0217 17 .0128 18 .0071 19 .0037 20 .0019 21 .0009 22 .0004 23 .0002 24 .0001