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In a study of drug-induced anaphylaxis among patients taking rocuronium bromide as part of their anesthesia, Laake and Rottingen found that the occurrence of anaphylaxis

In a study of drug-induced anaphylaxis among patients taking rocuronium bromide as part of their anesthesia, Laake and Rottingen found that the occurrence of anaphylaxis followed a Poisson model with 12 incidents per year in Norway. Answer the following (use tables not calculator commands, answers may vary in the last decimal place depending on how you use the table): a) Find the probability that in the next year, among patients receiving rocuronium, exactly three will experience anaphylaxis. b) What is the probability that at least three patients in the next year will experience anaphylaxis if rocuronium is administered with anesthesia? c) What is the probability that between 10 and 15 patients, inclusively, will have anaphylaxis? d) What is the average number of incidents? e) What is the standard deviation of the number of incidents?872 APPENDIX Tables TABLE 2 Exact Poisson probabilities PR(X = k) = (continued) 10.0 6.0 6.5 7.0 7.5 8.0 9.0 9.5 1118 .0912 .0729 .0573 0443 .0337 .0254 .0189 1558 .1339 .0378 .1714 -1606 -1454 .1277 .1094 .0916 -0752 .0607 .0483 -1575 -1490 .1367 .122 .1066 .0911 0764 .0631 .1571 .1606 .1465 -1396 .1294 -1171 1037 .0901 .1234 .1377 .1462 .1490 0849 .1033 -1188 .1304 -1373 .1396 .1375 .1318 .1232 -1 126 -1014 -1144 1241 -1318 .1300 -1251 .0519 .0688 .0858 .1299 .1 186 .1235 -1251 .0285 .0413 .0558 .0710 .0858 0993 -1 104 .0330 .0452 .0585 0722 .0853 .0970 .1067 .1137 0143 .0225 .0179 .0263 .0366 10481 0604 .0728 .0844 .0948 .0065 .0113 .0729 .0028 .0052 .0089 .0142 .0211 .0296 .0395 -0504 .0617 .0324 .0419 .0521 .0011 .0022 .0041 .0071 .0113 .0169 -0240 .0004 .0009 .0018 .0033 10057 .0090 0136 .0194 0265 .0347 LO .0007 -0014 -0026 .0045 10072 .0109 .0157 .0217 .0001 .0003 .0000 .0001 .0003 .0006 .0012 .0021 0036 .0058 0088 .0128 .0000 .0000 .0001 0002 .0005 .0009 .0017 .0029 .0046 .0071 .0000 .0000 .0000 .0001 .0002 .0004 .0008 .0014 0023 .0037 .0000 .0000 -0000 .0003 .0006 .001 1 20 .0000 .0001 .0002 .0019 .0000 .0000 .0000 .0000 .0000 .0001 .0001 .0003 .0005 .0009 .0000 .0000 .0000 .0000 .0000 .0000 .0001 -0001 .0002 .0004 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0001 .0002 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0001 0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 -0000 .0000 10.5 11.0 11.5 12.0 12.5 13.0 13.5 14.0 14.5 15.0 0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0090 .0000 0003 .0002 .0001 0001 .0000 -0000 .0000 .0000 .0000 .0000 0015 .0010 .0007 .0004 .0003 .0002 -0001 .0001 .0001 .0000 .0053 .0037 .0026 .0018 -0012 0008 .0006 .0004 .0003 .0002 .0139 .0102 .0074 .0053 .0038 .0027 0019 .0013 .0009 .0006 .0293 .0224 -0170 .0127 .0095 .0070 .0051 .0037 .0027 .0019 .0513 .0411 .0325 .0255 .0197 .0152 10115 0087 .0065 .0048 .0769 .0646 .0535 .0437 .0353 .0281 .0222 .0174 .0135 .0104 .1009 .0888 .0769 .0655 .0551 .0457 0375 .0304 0244 .0194 .1177 .1085 .0982 -0874 .0765 066 0563 .0473 .0394 .0324 -1236 -1194 .1 129 .1048 -0956 0859 .0760 .0663 .0571 .0486 .1180 -1194 .1181 -1144 -1087 .1015 .0932 .0844 .0753 .0663 12 .1032 .1094 .1131 -1144 -1132 -1099 -1049 .0984 .0910 0829 .0834 0926 -1001 -1056 .1089 1099 .1089 .1060 .1014 .0956 .0625 .0728 .0822 0905 .0972 -1021 1050 .1060 .1051 .1024 LO .0438 .0534 .0630 .0724 .0810 .0885 .0945 .0989 .1016 .1024 .0287 .0367 .0453 .0543 .0633 .0719 .0798 0866 .0920 .0960 -0177 .0237 .0306 0383 .0465 .0550 0633 .0713 .0785 .0847 .0104 -0145 .0196 .0255 .0323 .0397 10475 .0554 .0632 .0706 .0057 .0084 -0119 .0161 .0213 10272 .0337 .0409 .0483 .0557 .0030 .0046 ,0068 .0097 .0133 .0177 0228 -0286 .0350 .0418 .0015 .0024 -0037 .0055 .0079 0109 .0146 .0191 .0242 .0299 .0007 .0012 -0020 .0030 .0045 -0065 .0090 .0121 .0159 .0204 .0003 .0006 .0010 .0016 -0024 .0037 .0053 .0074 .0100 .0133 .0001 -0003 .0005 .0008 .0013 .0020 .0030 .0043 .0061 .0083 -0001 .0001 .0002 .0004 .0006 -0010 -0016 .0024 0035 .0050 .0000 .0000 0001 .0002 .0003 .0005 .0008 .0013 .0020 .0029 .0ooo .0ooo .0000 0001 .0001 .0002 .0004 .0007 .0011 .0016 ,0ooo .0000 .0000 .0001 .0001 .0002 .0003 .0005 .0009 (continued on next page)APPENDIX Tables 869 TABLE 1 Exact binomial probabilities Pr(X = k) = \\pq (continued) K .05 .10 -15 .20 .25 130 .35 140 .45 50 .0000 0008 0063 .0230 .0559 1030 1546 1968 2169 .2095 .0000 .0001 . -0011 .0058 .0186 0442 .0833 1312 1775 2095 CO ) .0000 .0001 .0011 .0047 0142 .0336 .0656 1089 1571 .0000 .0000 .0000 .0001 .0009 .0034 0101 .0243 0495 0873 .0000 .0000 0000 .0000 -0001 .0006 0022 .0065 0162 0349 .0000 .0000 .0000 .0000 0000 .0001 0003 .0012 .0036 0095 .0000 .0000 .0000 .0000 .0000 .0ooo .0000 .0001 0005 0016 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 0000 0001 14 .4877 .2288 .1028 .0440 0178 .0068 0024 .0008 0002 9001 .3593 .3559 2539 .1539 -0832 0407 .0181 -0073 0027 0009 .1229 .2570 .2912 .2501 1802 1134 .0634 0317 .0141 0056 .0259 .1142 .2056 .2501 2402 1943 1366 .0845 0462 0222 .0037 .0349 .0998 1720 2202 2290 2022 1549 1040 0611 OFNONONOOO .0004 0078 .0352 .0860 1468 -2178 2066 1701 -1222 .0000 .0013 .0093 .0322 0734 1262 1759 2066 2088 1833 .0000 .0002 .0019 .0092 0280 -0618 1082 .1574 1952 2095 .0000 .0000 .0003 .0020 .0082 .0232 0510 0918 1398 1833 .0000 .0000 .0000 .0003 .0018 0066 0183 0408 0762 1222 .0000 .0000 .0000 .0000 0003 0014 .0049 0136 0312 0611 .0000 .0000 .0000 0000 .0600 .0002 .0010 0033 .0222 .0000 .0000 .0000 .0000 10000 .0000 .0001 .0005 0019 0056 .0000 .0000 .0000 .0000 0060 -0000 0001 0002 .0009 .0000 .0000 .0000 .0000 0000 -0000 0000 0000 0000 .0001 15 .4633 .2059 .0874 0352 0134 0047 0016 0001 .0000 .3658 .3432 .2312 1319 0668 0305 .0126 0047 .0016 0005 .1348 .2669 2309 1559 0916 -0476 .0219 .0090 0032 .0307 .1285 .2184 2501 2252 .1700 1110 .0634 0139 .0049 .0428 1156 1876 .2252 2186 .1792 -1268 0780 .0417 .0006 .0105 .0449 .1032 1651 2061 2123 1859 1404 .0916 .0000 0019 .0132 .0430 0917 1472 1906 2066 1914 1527 .0000 0003 .0030 0138 0393 0811 1319 .1771 2013 1964 .0000 .0000 .0005 0035 0131 .0348 0710 .1181 1647 .1964 .0000 .0000 .0001 .0007 .0034 0116 -0298 0612 .1048 .1527 .0000 .0000 .0000 0001 .0007 0030 0096 10245 .0515 .0916 .0000 .0000 .0000 .0000 0001 0006 0024 0074 0191 .0417 .0000 .0000 .0000 0000 .0000 .0001 .0004 .0016 0052 .0139 .0000 .0000 0000 0000 .0000 .0ooo -0001 0003 0010 0032 .0000 .0000 0000 0000 0000 .0000 ,0000 0001 0005 .0000 .0000 .0000 0000 .0000 -0000 .0000 -0000 0600 .0000 16 .4401 1853 0743 .0281 .0100 .0033 -0010 .0003 -0001 .0000 .3706 .3294 2097 1126 0535 0228 .0087 -0030 9009 .0002 .1463 2745 2775 2111 1336 0732 .0353 .0150 0056 0018 .0359 .1423 2285 2463 .2079 1465 0888 .0468 0215 0085 .0061 .0514 1311 -2001 -2252 2040 1553 1014 .0572 .0278 .0008 .0137 .0555 1201 1802 2099 2008 1623 1123 .0667 .0001 0028 0180 .0550 1649 1 982 .1983 1684 .1222 .0000 0004 0045 0524 1010 1524 1889 1969 .1746 .0000 0001 .0009 0055 0197 -0487 0923 1417 1812 .1964 .0000 .0000 .0001 0012 0058 0185 .0442 .0840 .1318 1746 .0000 .0000 0000 0002 0014 0056 .0167 .0392 0755 .1222 .0000 .0000 0000 0000 0002 -0013 .0049 0142 0337 .0667 .0000 .0000 0000 0000 0000 0002 .0011 .0040 0115 .0278 .0000 0600 0000 0000 0000 0000 .0002 .0008 0029 .0085 .0000 0000 0000 .9000 .0000 0000 0000 0001 .0005 0018 .0000 -0000 0000 0000 .0000 0000 0000 .0060 .0001 .0002 .0000 .0000 0000 0000 0000 .0000 .0000 .0000 0000 .0000 (continued on next page)APPENDIX | TABLES TABLE 1 Exact binomial probabilities Pr(X = k) = |p*q n K .05 .10 .15 .20 25 .30 .35 .40 .45 50 .9025 .8100 .7225 .6400 .5625 .4900 4225 .3600 .3025 .2500 .0950 . 1800 .2550 .3200 .3750 .4200 .4550 .4800 4950 .5000 .0025 .0100 .0225 .0400 .0625 .0900 .1225 .1600 .2025 .2500 3 .8574 .7290 .6141- .5120 .4219 .3430 .2746 .2160 .1664 .1250 .1354 .2430 .3251 .3840 .4219 .4410 .4436 .4320 .4084 .3750 .0071 .0270 .0574 .0960 .1406 .1890 .2389 .2880 .3341 .3750 .0001 .0010 .0034 .0080 .0156 .0270 .0429 .0640 .0911 .1250 .8145 .6561 .5220 4096 3164 .2401 .1785 .1296 .0915 .0625 .1715 .2916 .3685 .4096 4219 .4116 .3845 .3456 .2995 .2500 .0135 .0486 .0975 .1536 .2109 2646 .3105 .3456 .3675 .3750 .0005 .0036 .0115 .0256 .0469 .0756 .1115 1536 .2005 .2500 .0000 .0001 .0005 .0016 .0039 ,0081 .0150 .0256 .0410 .0625 .7738 .5905 .4437 .3277 .2373 .1681 .1160 .0778 .0503 .0313 .2036 .3280 .3915 .4096 .3955 .3602 .3124 .2592 .2059 .1563 .0214 .0729 .1382 -2048 2637 3087 3364 .3456 .3369 3125 .0011 .0081 .0244 .0512 .0879 1323 1811 2304 .2757 3125 .0004 .0022 .0064 0146 .0283 .0488 .0768 .1128 .1563 OFNOTNOTNONOT NO NIOT NOTIONOF NONDONOT .0000 .0000 .0001 .0003 .0010 .0024 .0053 .0102 .0313 .7351 .5314 .3771 2621 .1780 .1176 -0754 .0467 0277 .0156 .2321 .3543 .3993 .3932 .3560 .3025 -2437 1866 . 1359 .0938 0305 .0984 .1762 .2458 2966 .3241 .3280 3110 .2780 .2344 .0021 .0146 .0415 .0819 1318 1852. 2355 .2765 3032 .3125 .0001 .0012 .0055 .0154 0330 0595 .0951 1382 1861 .2344 0000 .0001 .0004 0015 .0044 0102 .0205 0369 .0609 .0938 0000 .0000 .0000 -0001 .0002 .0007 .0018 .0041 .0083 .0156 6983 -4783 ,3206 .2097 1335 .0824 0490 .0280 .0152 .0078 .2573 3720 .3960 .3670 .3115 .2471 1848 1306 0872 .0547 .0406 .1240 .2097 .2753 3115 .3177 2985 .2613 2140 .1641 .0036 .0230 .0617 .1147 .1730 .2269 2679 2903 .2918 .2734 0002 -0026 .0109 0287 .0577 .0972 1442 -1935 2388 .2734 .0000 .0002 .0012 .0043 0115 .0250 0466 .0774 .1172 .1641 0000 .0000 .0001 .0004 .0013 .0036 0084 -0172 .0320 .0547 .0000 .0000 -0000 .0000 .0001 .0002 .0006 0016 .0037 .0078 6634 4305 .2725 .1678 . 1001 .0576 .0319 0168 . .0084 0039 .2793 .3826 3847 .3355 .2670 .1977 1373 0896 .0548 .0313 .0515 .1488 .2376 .2936 .3115 .2965 .2587 .2090 1569 .1094 ,0054 ,0331 .0839 .1468 .2076 .2541 .2786 2787 2568 .2188 (continued on next page) 867868 APPENDIX Tables TABLE 1 Exact binomial probabilities Pr(X - K) - \\pa (continued) k .05 10 15 20 25 30 35 140 45 .50 .0004 0046 0185 0459 0865 1361 1875 2322 2 2627 .2734 .0000 0004 .0026 .0092 0231 0467 0808 1239 1719 .2188 .0000 .0000 0002 .0011 0038 0100 0217 0413 0703 1094 .0000 .0000 .0000 .0001 0004 0012 10033 0079 0164 0313 .0000 .0000 0000 0000 .0000 0001 0002 0007 0017 .6302 .3874 .2316 1342 0751 0404 0207 0101 0046 0020 .2985 .3874 3679 3020 2253 1556 6 1004 0605 0339 0176 .0629 .1722 .2597 .3020 .3003 2668 2162 1110 0703 .0077 .0446 1069 1762 2336 2668 .2716 2508 2119 .1641 .0006 .0283 . .1168 1715 -2194 2508 2600 .0000 0008 0050 0165 0389 0735 1181 1672 2461 .0000 .0001 .0006 0028 0087 0210 0424 0743 1160 1641 .0000 .0000 .0000 0003 0012 0039 0098 .0212 0407 0703 .0000 .0000 0000 0000 0001 0004 0013 0035 0083 0176 .0000 .0000 .0000 0000 0000 0000 0001 0003 .0008 0020 10 .5987 .3487 .1969 1074 0563 0282 0135 0060 0025 10010 .3151 .3874 3474 2684 1877 1211 0725 0403 .0207 0098 .0746 1937 .2759 3020 2335 1757 1209 0763 -0439 .0105 0574 .1298 2013 2503 2668 2522 2150 1 .1665 1172 .0010 .0112 0401 0881 1460 2001 -2377 2508 2384 2051 .0001 0015 0085 0264 0584 1029 1536 2007 2340 .2461 .0000 0001 0012 0055 0162 .0368 0689 1115 1596 2051 .0000 0000 10001 10008 10037 0090 0212 0425 0746 1172 .0000 0000 .0000 0001 0004 0014 10043 0106 0229 .0439 .0000 0060 0000 . 10000 :0000 10001 0005 0016 0042 0098 .0000 0000 0000 0000 10000 0000 0600. 10001 .0003 .0010 71 .5688 3138 1673 0859 .0422 0198 0088 0036 0014 0005 .3293 .3835 3248 2362 1549 0932 0518 0266 0125 .0054 .0867 .2131 2866 2953 2581 1998 1395 0887 0513 0269 0137 .0710 1517 .2215 2581 2568 2254 1774 1259 0806 .0014 .0158 0536 1107 1721 2201 .2428 2365 1611 .0001 0025 0132 0388 .0803 1321 1830 2207 2360 2256 0 0003 0023 .0097 0268 0985 1471 1931 2256 .0000 0000 10003 10017 0064 0173 0379 0701 -1 128 1611 .0000 0000 .0000 .0002 001 1 -0037 0102 0234 0462 0806 .0000 .0000 . .0000 .0000 10001 -0005 0018 0052 0126 .0269 .0000 0000 0000 0060 .0000 0060 .0002 0607 0021 .0054 .0000 .0000 0000 0000 0000 0000 0000 0000 0002 0005 12 .5404 .2824 1422 .0687 0317 0138 0057 0022 -0008 .0002 .3413 .3766 .3012 .2062 1267 0712 .0368 -0174 0029 .0988 .2301 .2924 .2835 2323 1678 1088 0639 0939 0161 .0173 -1720 2362 2581 2397 1954 1419 0923 0537 .0021 0213 0683 1329 1936 .2317 2367 2128 1700 1208 .0002 0038 .0193 0532 1032 1585 2039 2270 2225 1934 .0000 .0005 0040 0155 0401 0792 1281 1766 2124 2256 .0000 .0000 0006 -0033 0115 0291 0591 1009 1489 1934 .0000 0060 -0001 0005 0024 0078 0199 .0420 0762 1208 .0000 .0000 0000 0001 0004 0015 -0048 10125 .0277 0537 .0000 0000 .0000 .0000 0000 0002 0008 0025 0068 0161 .0000 .0000 .0000 0000 0000 0000 0001 0003 0010 0029 .0000 0000 .0000 .0000 0000 10000 0000 0000 0001 0002 13 6133 .2542 .1209 .0550 0238 0097 0037 0013 0004 .0001 .3512 .3672 .2774 -1787 .1029 .0540 .0259 0113 0045 .0016 .1109 .2448 .2937 2680 .2059 1388 .0836 0453 0220 .0095 .0214 .0997 1900 .2457 2517 2181 1651 1107 0660 0349 .0028 .0838 .1535 .2097 . .2222 -1845 1350 .0873 .0003 0055 0266 0691 . 1258 3 1803 2154 .2214 1989 1571 (continued on next page)\fAPPENDIX Tables 871 TABLE 1 Exact binomial probabilities Pr(X = K) = \\pa" (continued) k .05 .10 .15 20 .25 30 35 40 .45 .50 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 0000 .0000 .0000 .0000 .0000 .0000 .0000 -0000 0000 .0000 20 3585 .1216 .0388 .0115 .0032 0008 0002 0000 .0000 .0000 3774 .2702 -1368 .0576 0211 .0068 0020 .0005 .0001 .0000 .1887 .2852 .2293 .1369 .0669 .0278 -0100 .0031 .0008 .0002 .0596 -1901 .2428 .2054 -1339 .0716 .0323 .0123 0040 .0011 .0133 .0898 .1821 .2182 1897 -1304 .0738 .0350 .0139 .0046 .0022 .0319 .1028 .1746 .2023 .1789 -1272 .0746 .0365 .0148 .0003 .0089 .0454 .1091 .1686 -1916 -1712 -1244 -0746 .0370 .0000 .0020 .0160 .0546 .1124 -1643 .1844 1659 .1221 0739 .0000 .0004 .0046 0222 0609 -1 144 .1614 -1797 .1623 .1201 .0000 .0001 .0011 .0074 .0271 .0654 -1158 -1597 -1771 .1602 .0000 .0000 .0002 .0020 .0099 .0308 0686 -1 171 .1593 .1762 .0000 .0000 .0000 .0005 .0030 .0120 .0336 .0710 -1185 .1602 .0000 .0000 .0000 .0001 .0008 .0039 .0136 .0355 .0727 .1201 .0000 .0000 .0000 .0000 -0002 -0010 -0045 .0146 .0366 .0739 .0000 .0000 .0000 .0000 0000 0002 0012 .0049 .0150 .0370 .0000 .0000 .0000 .0000 0000 .0000 .0003 -0013 0049 .0148 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0003 .0013 .0046 17 .0000 .0000 .0000 0000 .0000 .0000 .0000 -0000 .0002 .0011 18 0000 .0000 .0000 .0000 0000 .0000 .0000 -0000 0002 .0000 .0000 .0000 .0000 0000 .0000 .0000 .0000 .0000 .0000 20 .0000 .0000 .0000 .9000 .0000 .0000 0000 .0000 .0000 .0000 TABLE 2 Exact Poisson probabilities Pr(X = k) _ " K! 0.5 1.0 15 20 215 3.0 3.5 4.0 4.5 5.C 6065 3679 .2231 -1353 .0821 .0498 .0302 .0183 0111 -0067 3033 .3679 .3347 .2707 .2052 .1494 .1057 0733 .0500 0337 .0758 .1839 .2510 .2707 .2565 .2240 .1850 .1465 1 125 .0842 .0126 -0613 .1255 1804 .2138 2240 2158 -1954 -1687 -1404 .0016 .0153 .0471 .0902 .1336 -1680 1888 1 954 1898 .1 755 .0002 0031 .0141 .0361 .0668 .1008 1322 -1563 1708 1755 .0000 .0005 .0035 .0120 .0278 .0504 -0771 1042 1281 -1462 .0000 .0001 .0008 .0034 .0099 10216 0385 .0595 .0824 .1044 .0000 .0000 .0001 .0009 .0031 .0081 .0169 0298 0463 .0653 .0000 .0000 .0000 0002 .0009 .0027 .0066 10132 ,0232 .0363 .0000 .0000 .0000 .0000 0002 -0008 .0023 10053 .0104 0181 .0000 .0000 .0000 .0ooo 0000 -0002 .0007 .0019 .0043 .0082 .0000 .0000 .0000 .0000 .0000 .0001 .0002 .0006 .0016 .0034 ,0000 .0000 -0000 .0000 .0000 -0000 0001 -0002 .0006 -0013 .0000 .0000 .0000 -0000 .0900 -0000 -0000 .0001 -0002 .0005 .0000 .0000 .0000 0000 -0000 .0000 -0000 .0001 .0002 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .oooo .0000 5.5 6.0 6.5 7.0 7.5 8.0 85 9.0 9.5 10.0 0041 0025 .0015 .0009 .0006 .0003 .0002 ,0001 .0001 .0000 .0225 .0149 .0098 .0064 .0041 -0027 -0017 .0011 .0007 .0005 OFNO .0618 .0446 .0318 .0223 .0156 -0107 .0074 -0050 .0034 0023 1 133 0892 .0688 -0521 .0389 .0286 .0208 .0150 .0107 .0076 (continued on next page)870 APPENDIX Tables TABLE 1 Exact binomial probabilities Pr(X - k) = \\pro (continued) K 05 10 .15 .20 25 30 35 40 .45 .50 4181 1668 .0631 .0225 .0075 .0023 -0007 .0002 .0000 .0000 .3741 .3150 .1893 .0957 .0426 .0169 .0060 .0019 .0005 .0001 .1575 .2800 2673 .1914 -1136 0581 .0260 .0102 .0035 .0010 .0415 .1556 .2359 .2393 1893 .1245 .0701 .0341 .0144 .0052 .0076 .0605 .1457 .2093 .2209 1868 .1320 .0796 .0411 .0182 .0010 .0175 .0668 .1361 .1914 .2081 -1849 .1379 .0875 .0472 .0001 .0039 .0236 .0680 .1276 .1784 1991 .1839 .1432 .0944 .0000 .0007 .0065 .0267 .0668 .1201 .1685 .1927 .1841 .1484 .0000 .0001 -0014 .0084 .0279 .0644 .1134 .1606 .1883 .1855 .0000 .0000 .0003 .0021 .0093 0276 .0611 -1070 1540 .1855 .0000 .0000 .0000 .0004 .0025 .0095 .0263 .0571 .1008 .1484 .0000 .0000 .0000 .0001 .0005 .0026 .0090 .0242 .0525 .0944 .0000 .0000 .0000 .0000 -0001 .0006 0024 .0081 .0215 .0472 .0000 .0000 .0000 .0000 .0000 .0001 .0005 .0021 .0068 .0182 .0000 .0000 .0000 .0000 .0000 .0000 .0001 .0004 .0016 .0052 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0001 .0010 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0001 .0000 .0000 .0000 .0000 0000 0000 .0000 .0000 .0000 .0000 18 .3972 .1501 .0536 .0180 .0056 .0016 0004 0001 .0000 .0000 .3763 .3002 .1704 -0811 .0338 .0126 .0042 .0012 .0003 .0001 .1683 .2835 .2556 .1723 .0958 .0458 .0190 .0069 .0022 .0006 .0473 .1680 2406 .2297 -1704 .1046 .0547 0246 .0095 .0031 .0093 .0700 .1592 .2153 2130 .1681 .1104 .0614 .0291 .0117 .0014 .0218 .0787 .1507 1988 .2017 .1664 -1146 .0666 .0327 .0002 .0052 .0301 .0816 .1436 .1873 .1941 1655 .1181 .0708 .0000 .0010 .0091 .0350 .0820 -1376 .1792 .1892 .1657 .1214 .0000 .0002 .0022 .0120 .0376 0811 .1327 .1734 .1864 .1669 .0000 .0000 .0004 .0033 .0139 .0386 .0794 .1284 .1694 .1855 .0000 .0000 .0001 .0008 0042 .0149 0385 .0771 .1248 1669 .0000 .0000 .0000 .0001 .0010 .0046 0151 .0374 .0742 .1214 .0000 .0000 .0000 .0000 .0002 .0012 .0047 .0145 .0354 .0708 .0000 .0000 .0000 .0000 .0000 .0002 0012 .0045 .0134 .0327 .0000 .0000 .0000 .0000 .0000 .0000 0002 .0011 .0039 .0117 .0000 .0000 :0000 .0000 .0000 .0000 0000 0002 0009 0031 LO O .0000 .0000 .0000 .0000 .0000 -0000 .0000 .0000 .0001 .0006 .0000 .0000 .0000 .0000 .0000 0000 .0000 .0000 .0000 .0001 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 19 .3774 .1351 .0456 0144 .0042 0011 .0903 0001 .0000 .0000 .3774 .2852 .1529 .0685 .0268 .0093 .0029 0008 .0002 .0000 -1787 .2852 .2428 .1540 .0803 0358 .0138 0046 .0013 .0003 .0533 .1796 .2428 .2182 .1517 0869 .0422 .0175 .0062 0018 .0112 .0798 -1714 .2182 .2023 .1491 0909 .0467 .0203 .0074 .0018 0266 .0907 -1636 .2023 .1916 1468 .0933 .0497 .0222 .0002 .0069 .0374 .0955 .1574 1916 .1844 1451 .0949 .0518 .0000 .0014 .0122 .0443 .0974 .1525 -1844 -1797 -1443 .0961 .0000 .0002 0032 .0166 .0487 .0981 1489 -1797 .1771 -1442 .0000 0000 .0007 0051 .0198 .0514 .0980 -1464 .1771 .1762 .0000 .0000 .0001 .0013 .0066 .0220 .0528 .0976 .1449 .1762 ,0000 .0000 .0000 .0003 .0018 .0077 .0233 0532 .0970 .1442 .0000 .0000 0000 .0000 .0004 .0022 .0083 .0237 .0529 .0961 .0000 ,0000 .0000 .0000 .0001 .0005 .0024 .0085 .0233 .0518 .0000 .0000 .0000 .0000 .0000 .0001 -0006 .0024 .0082 0222 .0000 .0000 .0000 .0000 .0000 0000 0001 .0005 .0022 .0074 .0000 .0000 .0000 .0000 .0000 .0000 0000 .0001 .0005 0018 .0000 .0000 .0000 .0000 .0000 0000 .0000 .0000 0001 .0003 (continued on next page)

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