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TABLAS DE ESTADISTICA - EMPRESARIAL INDICE Página L.- Tabla de valores de e y e ES H.- prstratución Bin crT ' 112 .- Distribución de Polescn DAD o bistripución Normal: (0) NN Men. pistrivueión Normal. (2) cosoommros rr yi.- Distribución "t” de Pr N VIT.- Distribución "6! de Student (2) E anrranirainnans v1tz.-Distrivación Yao Pearson AAN 1. histribución “gn de Snsdecor + : “con A 0,25 ars : con PE, 9 LO rr con PU, 4 O rr con PIE, 94) = 0,025 narrar E con AF, 94) = 0,01 rn e con PF 90) O rn con PF, +4) += 0,001 carr . mn” 1 2 26 20 $ 2 17. DISTRIBUCION BINOMIAL n z -05 10 .15 20 -25 .30 -35 40 es 50 11.0 9500 .9000 .8500 .B000 .7500 .7000 :..5500 .6000 .5500 .5000 1 .0500 .1000 .1500 2000 .2500 .2000 .3500 .4000 .4500 .5000 2 0 «2025 8100 .7225 .6400 .5625 .4900 .4225 .3800 .2025 .2500 1 «09509 .1800 .2550 .3200 .3750 4200 .4550 .4800 .4950 .6000 2 0025 .0100 .0225 .0400 .0625 .0900 .122%8 1600 .2025 .2500 300 «3574 .7200 .6I41 .5120 .4219 -.3£30 .2748 2160 .166£ — .1250 1 «1354 .2430 .3251 .3840 .4219 .4410 .14435 ,4320 .4084 .3750 2 «QO7L .0270 .0574 -0969 .1406 .1890 .2389 .2880 .8341 .3250 3 «0001 ,Q0U1U .0034 .0080 .0155 .0270 _.0429 .06£0 .D911 .1250 4 0 8145 .6561 .5220 .£096 "3164 .2401 .1785 ,1296 .095 .0625 1 «1715 .2916 ,3685 .4096 ,4219 4116 .,3845 3456 .2995 .2500 2 0135 0485 .09758 .15358 ,2109 .2646 .3105 .3456 .2675 .8750 3 + 0005 0038 .0115 .0256 .0469 .0756 ,1115 ,1535 .2005 .2500 4 0000 .0001 .0005 .0018 .0039 .0081 .0150 .0256 .0410 .0625 5 0 «1738 .5905 .4437 .3277 .2373 1681 .1160 .0778 .0503 .0312 1 2036 .3280 3915 4098 .3955 .3602 .3124 .2502 .2059 .1562 2 0214 ,0728 ,1382 ,2048 .2637 .3087 ,3364 .3456 .336% ,3125 3 «DOIL .0081 .0244 .0512 .0878 .1323. .1811 .2304 .2757 .3125 dk 0000 .D00£ .0022 .0064 .01éS .0284 .0488 .0768 1128 .1562 $ 0000 0000 .0001 .0003 .0010 .002£ .0053 -0183 — .0312 8. . ¿7351 .5314 .3771 .2621 ,1780 ,1176 .075t 0277 .0156 1 “2321 .2643 .3993 .3032 .3560 .2025 .2437 1359 — .0938 2 0305 .0984 .1762 2458 ,2966 3241 .,3280 .3110 .2780 .234t 3 0021 .014G .0415 .0819 .1318 .1852 .2355 .2765 .3032 .3125 4 «0001 .0012 —.0055 .015%4 .0330 ,U595 .0951 .1382 ,1861 .234t 5 0000 .0001 .0004 .0015 .004% .010% 0205 .0369 .0609 .0938 6 +0000 0000 .0000 .0001 0002 .0007 .0018 .004l .0083 .0156 7TO90 6983 .4783 .3205 2097 .1335 .0824 .0490 .0280 .0162 .0078 1 «2573 .3720 .39060 .3670 3115 .2471 .1848 .1306 .0872 -05£7 2 0408 1240 .2097 .2753 .3115 .3177 .2085 .2613 .2140 .1641l 3 +0035 ,0230 .0617 .1147 .1730 .2269 .2678 .2003 .2918 .2734 4 .0002 .0026 0109 .0287 .0577 .0972 .1442 .1035 .2388 ,2734 5 .0000 .0002 .0012 .0043 0115 .0250 .0466 .0774 .1172 .1864l 6 «0000 .D000 .0001 .000£ .0013 .0036 .0084 .0172 .0320 .0547 7 «0009 .0000 .D000 .0000 000] 0002 .0005 .0015 .0037 .0078 8 0 6674 .4305 .2728 .1678 .1001 .0576 ,0319 .0168 .008£ .0039 1 2703 .3826 ,3847 .33558 .2670 .1977 .1373 .0896 .05í8 .0312 E «0518 1488 -.2376 .2936 3115 .2965 .2587 .2090 .1569 .1004 3 ¿005% 0331 .0839 .1468 .2076 .2541 2788 .2787 .2568 .2188 4 .0004 — .0046 .0185 .0450 .0865 .1361 ' 1875 .2322 .2827 .2734 5 «0000 .000É .0026 .0092 .023L .0467 .0803 .1239 .1719 .2188 6 0000 .0000 .0002 .ODI1 .0088 .0100 .0217 .04L8 .0703 .10D 7 .0000 .0000 .0000 .0001 .000é 0012 .0033 .0079 .016£ .0312 8 .0009 .0000 .0000 .0000 000% .0001 .0002 .0007 0017 .0038 . ; 10 «15 -20 .25 .30 -35 .40 5 50 13 0 «5133 .2542 .1209 .0550 .0238 .0997 ,0037 .0013 .0004 .0001 1 3512 .3672 .2774 1787 .1029 .05t0 .0259 .0113 .00%6 .0016 : 2 +T109 .2448 .2937 .2680 .2059 .1388 .0836 .0463 .0220 .0095 3 0214 .0997 .1900 .2457 .2517 .218l .1651 .1107 .0660 .0349 4 0023 —.0277 ..0898 ,1535 .2007 .2%37 .2222 .1845 .1350 .0878 5 «0003 .0055 0256 .,0691 ,1258 .1803 215€ 2214 .1989 .1871 6 0000 .0003 0063 “.0230 .0B8% .1030 .1546 1968 .2169 .2095 1 -0009 .O00L .001L .0058 .0186 0442 ,08338 1312 .1778 .2098 8 DOGO .0000 .000Í .001L .0047 .0142 .0336 .0656 '.1089 .1571 3 + 09009 .0000 .0000 0001 .D0G9 .0034 .O10L .0243 .0495 .0873 10 «0000 .0000 .000% ,6000 .0001 .0006 .0022 .0065 .0162 .0349 u «0000 000% .0000 .0000 .0000 .0001 .0003 .0012 .0038 .0095 pu -D009 .0000 0000 .0000 .0000 . .0000 .0000 .0001 .0005 .0015 pel 0000.00 .0000 0000 .0000 .0000 ,0000 .0000 .0000 .000L xa 0 «4877 ..2288 .1028 .0449 ,0178 .0088 0024 .0008 ,0002 .0001 1 3593 .5559 .2538 .1538 .0832 .0407 .0181 .00738 .0027 .(009 2 «1229 .2570 .2912 .2501 .1802 .1124 .0634 ,0317 .0141 .0056 3 «0259 1142 ,2056 2501 .2402 ,1843 .1366 .0845 .0462 .0222 4 -0037. .0343 .0%98 ,1720 .2202 .2290 .2022 .1549 .1040 .0611 5 «0004 .0078 .0352 0860, .1468 .1963 ,2118 .2066 .I70Ol .12%2 $ «00000 .0013 ,0093 .0322 .0734 .1262 ..1759 2066 .2088 .1833 T «0000 0002 ,0019 .0092 ,0280 .0518 .1082 1574 .1952 .2095 8 0000 .0000 .0003 .0020 .0082 .0232 -.18339 El 0000 ,0000 .0000 .0003 .0018 .0066 .1222 10 «0009 — .0000 - .0000 .0000 0003 .0014 .0049 .0136 .0312 .0611 u «0000 .0000 .0000 .0000 .0000 .0002 0010 ,0033 .0083 .0222 12 -0009 .00002 ,D000 .D000 .0000 0000 .0001 .0005 .0018 .0056 13 «0000 004 ,DO0d .0000 ,0000 .,0000 .0000 .0001 .0002 .0009 os .0000 .000G .0000 ,000G .0000 .0000 .0000 .0009 .0000 .0001 15 0 4633 2059 .0874 .0352 .0134 ..0047 0016 .0005 0001 .0000 1 .3658 3432 2812 1319 .0668 .0305 .0126 ,0047 0016 .0005 2 «1348 .2659 2856 ,2309 .1559 ,0916 .0476 .0219 .009%% .0032 3 .0307 .1285 .2194 .2501 .2252 .1700 .1110 .0634 0318 .0L39 4 0049 0428 1156 .1876 .2252 2186 .1702 .1268 - .0780 .0417 5 -0006 .0L0S .0449 1032 ,1651 ,2061 .2123 ,1859 .1404 ,.0916 e 0000 ¿0019 .0132 .0430 .0917 .1472 .1008 2086 .1614 .1827 7 -.0000 .0003 0030 ,0138 .0393 .0B1l .1319 .1771 .2013 .1964 8 «0000 .0000 .0005 .0035 .0131 .0348 .0710 .LISI 1647 .1064 El «0000 .0000 .0001 .,0007 .0034 .0116 .0208 0612 ,1048 .1527 o «0000 .0000 .0000 .DOO1 .0007 .0030 .D0BS .0245 - .0515 .0916 u -»0000 .0000 .DO01 .000% .0001 .0006 .0024 .0074 .0191 .0417 2 «0000 .DO0O .DO00 .0000 .0000 .000L .000% ,0016 .0U52 .O0139 3 «0000 .0008 .0000 .0000 .000% .D000 .0001 .0003 0010 .0032 1 .0006 .0000 .0000 0000 .0000 .0000 .0000 .0000 ,0001 .0005 15 «0000 .0000 .0000 0000 .0009 .0000 ,0000 .0000 .D00d .0000 n 2 05 19 .15 20 .25 30 35 40 AS «60 186 0 SAQI .1853 .0743 .0281 .0100 .0033 .0010 .0003 .0001 .p000 1 +3706 .8294 .2007 .1126 .0535 .0228 0087 .0030 .0009 -.0002 2 1463 .2745 .2775 .2111 .1336 .0732 .0353 .0150 .0056" .0018 3 .0359 .14023 .2285 .2483 .2079 .1465 .0888 .0468 .02158 -.0085 4 /006l .0514 ,1311 .2001 .2252 .2M40 .1553 “.IQ14 .0572 .0278 $ -0008 .0137 -— .0355 .1201 .1802 .209% .2008 .1623 .1123 .0667 6 +D001 .0028 .0189 .0550 .1101 .1649 .1982 .1983 .168%£ .1222 7 ¿0000 0004 .0045 .0L97 .0524 .101O -.1524 .1889 .1089 .1748 B .0000 0001 .0009 .0055 .0197 .0487 .0823 .1417 1812 .106t 9 0000 0000 .000L .0012 .0058 .0185 .b42 .0840 .1318 .1746 10 -0000 .0000 0009 0002 > ,Q014 .0058 .0167 .0392 .075% .1222 u +/0000 0000 0000 .0000 .0002 .0013 .0049 .0142 .0337 .0867 z .0000 .0000 .0000 .0008 .0000 .0002 .0011 .0040 .0115 .0278 13 .0000 .0000 0000 .0D07 .0000 .0000 ,0002 ,0008 .0029 .0085 14 0000 .0000 .0000 .DO00 .0000 .0000 .0000 ,0001 ,0005 .0018 15 .000) .0000 .000%0 .0000 .0000 .000% .D000 .0000 .0001 .0002 16 0000 0000 .0009 .0000 .0000 .0000 .0000 .0000 .0000 .0000 Y 0 A181 .16685 .0631 .0225 .0075 .0023 0009 1 +374L — .2150 .1893 .0957 -.G426 ..0169 «2001 2. 1575 .2800 ..2673 ,1814 1136 .-.0581 * +0019 3 415 ,1556 .2359 .2303 .1803” -.1245 -0052 4 ¿0075 .0605 ,1457 .2093 .2209 .1868 .0182 5 0010 .0175 .0688 .1861 .1014 .2031 0472 6 ¿0001 .0039 0236 ..0680 .1276 .1784 ..109L .1839 .1432 ..084£ 7 0000 0007 0065 .0267 --¿0568 .I201 ..1685 -..1927 ..184l .1484 8 .0000 ¿0001 0014 .0034 .0279 .0644 .1134 .1606 .1883 .1855 9 «0000 .00009 -.0003 .0021 ,0093 ,0276 .061L 1070 .1540 .1855 10 .0000 0000 .0000 .0004 .0025 .0095 .0269 .0571 .1008 .1484 u 0000 0000 000% .0001 .00ÍS .0026 .0090 .0242 .0525 .0944 n 0000 .0000 .000% .0000 .0001 .0006 .0024 .008l ,0215 ' .0472 3 ¿0000 ¿0000 .0000 .D000 .0000 .0001 .0005 .0021 .0068 .0182 Mm .0000 .0000 .0000 .0000 .0000 .0000 ,0001 .0004 .0016 .0052 15 0009 0000 .0000 .0000 .0000 .0000 .0%XI .0001 .0003 .0010 15 00009 .0000G .1DODU .0000 .0000 .0000 .0000 .0000 .D00U ,.000L Y 0000 ,0009 ,0000 .0000 .B000 .0004 .0000 0000 .0000 .0000 Bs0 3072 .1501 .0536 .0180 .0056 .0018 .0004 .0001 .000d .0000 1 3763 .8002 .1704 .OBIL .0338 .0126 0042 0012 0003 .0001 2 .1633 2835 .2556 ,1723 .0058 .04588 ,0190 .0069 .0022 .0008 3 «0673 .1680 .2406 .2207 .1704 .104G .0547 .0246 .009% .0031 4 40093 .0700 .1592 .2153 2130 .168% .1104 0614 .0291 .0137 5 ¿Q014 .0218 .0787 .1507 .1988 .2017 ' .166£ .1146 .0668 .0327 6 «0002 0052 0301 0818 .1436 .1873 .104L .1655 ,1181 .0708 7 «0000 .0010 0091 0350) .0820 .1376 .1782 ,1802 -1687 .12lk 8 0009 .0002 - .0U22" .0129 .0376 .0811 .1827 .1724 .1804 .1609 9 0000 .0000 .000£ .0038 .0139 .0386 . .0794 .1284 .160% ,1855 10 0000 ,0000 .0O0L .0008 .00£2 .0149 ,0385 .077L .1248 ,16809 u .0000 .D000 .0000 .000L .0010 .00L6 .01Bl .0374 .0742 .1714 a x 05 10 -35 .20 25 -30 .35 .10 «45 .50 21 6 3406 .1094 0329 .0092 .002% .0006 ,O0DMI ,0000 .8000Y ,0000 1 3764 ,2553 .1221 0484 .0166 .0050 .00l3 ..0003 .0001 .0000 2 1981 .2887 .2155 .1211 -0355 .0215 .0072 .0020 .0005 .0001 3 0660 .1995 2408 .1937 .1172 .0585 0243 .0086 .0026 ,0008 4 .0156 .0998 .1912 .2156 .1757 .1128 .0593 .0259 ,0095 .0023 5 0028 ,0377 ,1147 .1883 .1992 .1643 .1085 .0588 .0263 .0097 8 0004 .0112 .0540 .1222 .1770 .1878 ,1558 .1045 ,0574 .0259 7 0000 20027 0204 0555 .1265 1725 .1798 .1493 .1007 .0554 E] .0000 .0005 .0063 .0286 .0138 .129%4 .1694 .1742 .1442 .0970 El 0000 .0001 0016 0103. .0355 .0B01 .1318 .1677 .1704 .1402 30 0009 .0009 .0003 .0031 .0142 .0412 .0851 ,1342 .1673 .1682 1 .0000 .0000 .0001 .0008 .00%7 .0176 .0438 ,0S95 ,1369 .1682 12 0000 .D000 .0009 .000z .0013 .0063 .0206 .0300 .0933 .1402 pel 0000 .0000 .0000 .0000 .0003 .0019 .0077 .0229 .0529 0970 nu .0000 .0000 .0000 0000 .0001 .0005 .0024 .0087 .0247 0354 15 0000 .0000 .0040 .0(00 .0000 .0001 .0006 .0027 0084 ,0259 18 .0000 .0000 .0000 .9000 .0000 .1000 .0001 .0007 .0029 0097 17 .0000 .0004 ,0000 .0000 .0000 00009 .0000d .0001 .0007 .0029 13 0000 0000 .0000 .0000 .0000 .0000D ,0060 .0000 .000L .0006 19 0009 .0000 .00009 .0000 .0006 .0000 ,0009 .00p0 .0000 .000L 20 .0000 . .0000 0000 .0000 .0000 -.0000 ¿0000 .0000 21 -0009 .0000 -..0000 .0000 .0000 -.0000 0000 .0000 = 0 .3235 0485 .0280 .0074 .0018 .000£ .0000 0000 1 2746 ,2407 .1087 .0%06 ,0131 -.0037 - 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A = | 321 32 38 34 36 36 37 38 38 40 o | .0659 0408-0369 .0334 .0802 .0273 .0247 ' .02% .0202 .0183 1) laser 1804 .1217 .1188 .1057 .0084 .0015 .0850 .0788 — ,0733 2 | 2165 .2087 2008-1920 .1890 1771 .I60Z .16l5 .1680 .146S 3 | ias7 .2926 .2208 .2186 -2168 .2125 .2087 .2048 .2001 .195t 4 | Zizo4 18% 1828-1858 -1888 .1912 .199L .1P4é .1061 .195% 5 | 1075 1140 .1203 ..1264 .1302 .1877 .1420 .1477 .1522 .156% e | loss Zo00s .0662 .0718 -077L .0826 .0881 .08Ñ3Ó 0080 -.10t2 7.| loz .0278 -0312 .0348 .0385 .0(25 .04teg .0s08 .DBS .0506 8" | loo05 ZONIx .0128 .0148 .DI69 -O19l .02B .0241 .0269 .0208 o) Zomaz Zó0t0 .0047 .0056 .0066 .0078 .008g .DIOZ -G116 -.0132 SESES 15 16 Y ocxX=“=an »ahunmo La 31 32 33 3.4 3.5 36 37 3.8 3.9 40 «ODIO 0013 .0015 «0012 .0023 0028 0033 .0039 DOS 0053 0003 .0004 .0005 .0008. .0007 .D009 «0011 .0013 — ,0016 .0019 7 .0001 «0091 -.000L «0002 .0002 «0003 .0003. .0004 .D003 .0006 0000 ,0000 .000% .D00a ,0001 «0001 0001 .0001 +0002 .0002 A 41 42 43 44 4.5 45 47 4.8 49 50 «0166 — .0150 «0136 «0123 «0111 «0101 «0091 0082 0074 .0067 0879 .0630 .0583 .0549 — .0500 .D452 ¿0427 ,0395 -0365 — .0337 1393 — .1323 .,1254 .1188 -1125 .1063 +1005 — .0948 0894 03842 1904 1852 ,1798 1743 .1687 + 1831 1574 — .1517 -H80 1404 -1951 «1944 .1933 -1927 — .1898 .1875 . .1849 1820 1789 «1755 .1600 1833 .1662 .1687 -.1708 1725 1738 11747 .1753 .1755 1093 —,1143 — ,1191 +1237 «1281 1323 «1362 ,1398 ,1432 .1462 0540 «0688 — .0732 0778 — .0824 .0869 0914 — .0959 .1002 104 0328 .0360 0393 .0428 — .0463 .0500 .0537 — .0575 «O614 — .0653 .D159 — ,0165 -.0188 «0209 0232 .0255 -0280 ' .0307 -0334 — .0363 0061 -0071 .CO8L -D092 0104 — .0118 -0132 0147 — .0164 .018l 0023-0027 0032 -0037 — .0043 0049 0073 0082 .0008- .0009 — .0011 «0014 0016 .0019 «0030 ¿0034 ¿0002 .0003 «0004 «0005 .0006 .0007 «0011 .0013 0001 «2001 .0001 0001 0002 0002 0004 +0005 00009 .0000 ,0000 .0000 .0001 0001 «0001 0002 $1 62 $3 54 $55 56 57 68 $8 $0 0061 -DO55 .00350 .0045 ,0041 +0037 0033 «0030 .0027 .0025 0311 «0287 0255 «0244 ,0225 0207 -0191 .0176 -0162 -0149 «0793 6746 — .0701 -0659 — .0618 -0580 054 — .0509 0477 9446 1348 1293 .1239 3185 —.1133 .1082 -1033 .0985 -0938 .0B92 «I71B — .1651 -1641 -1600 — -1558 — .1515 ,1472 .1428 .1333 +1339 «1763 — .1748 — .1740 1728 — .1714 1697 .1678 —.1656 .1632 .1608 ¿1490 — .1615 .1537 .1555 .1871 .1384 .1504 - 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.0001 .0001 .0002 .0002 “0000 .0000 .0000 -.0000 0000 .0009 .0000 .D001 .0001 .0001 u 12 13 14 15 18 17 18 19 20 0002 .0001 .0000 .0000 .0000 .0000 0000 .0000 .0000 .D0G0 “0010 0004 .D002 0001 .0000 .0000 .0000 .0000 .DODO .0000 "0037 0018 ,0008 .D00% .0002 .0001 .0000 .0000 .co0D .0000 “0102 .0058 0027 .0013 .0008 .0003 .0001 .0001 .0000 .DO0D 0224 .0127: .D070 .0037 .0019 .0010 .0005 .0002 0001 .DO0L OH 0258 .0182 .DO87 .0048 .0026 0014 .0007 .000£ .0002 "0646 0437 .0281 .0I7é .0104 0060 .0034 .0018 .0010 .000$ "0888/0655 0487 .0304 .0194 .0120 .0072 -.0042 .002% .0013 "1085 .0874 .066l .0473 .0324 .0213 0188 .00B3 0050 .0029 E194 .104S .0858 0563 .0488 ' .0341 .0230 .0150 .0095 .00S% qua 1144 .10158 .084£ .0663 0406 .0356 .0245 .016£ .0106 1094 .1144 .1099 .098% .0B29 :O56l .0504 .0368 .0259 .0176 “0925 -1086 ' .1099 “1060 .04568 .0S14' .0658 .0509 .0378 .0271 "0728 0905 1021 .1060 .1024 .0930 .0800 ¿0814 .0387 0534 .0724 .0885 .0989 .102% .0992 .0906 .078G .0650 .0516 "0387 .0543 .0719 .0866 0960 .0992 .0963 .088£ .0772 .06t6 "0237 .0383 .0550 .0713 .0847 .0934 .0963 .0936 .D353 .0760 OLAS 0256 .0397 .0554 .0706 .0830 .0909 .0936 .0911 .0B%4 0084 .O1G1 .0272 .0409 .0557 .0699 .08l16 .0887 .0911 .0885 0086 0097 .0177 .0286 ,D418 0559 .0692 .0788 .0366 .0883 "0024 .0055 .0109 .0I9Í 0299 . .0426 ..0560_. .0684 ..0783 .0846 0012 0030 0088 .0I21 .0204 .0310 0433 .0560 .0676 .0769 "0008 0016 .0037 .0074 0133 0216 .0320 .0438 .0559 .066Y "0002 0003 .0020 .0043 .0083 .01%4 .0226 .0328 0442 .0557 ¿0001 000% .0010 .0024 .0059 .0082 .0154 .0237 .0338 .0446 0000-0002 .0005 .00I3 .0028 .0057 .Q0l .016% .0245 .03t3 70000 .G00L .0002 .0007 .O016 0034 .0063 .01092 .0173 .0254 “0000 0000 .000L .0003 .0009 .0019 .0038 .0070 :0117 .0181 "0000 .0000 .Q0U .0002 0004 .001É“ 00723 .004t .0077 ..0125 ¿0000 .0000 0000 .0001 .0002 .0006 .0013 .0028 .0049 .0083 “0000 .0000 .0000 .0000 .000L .0003 .D007 .0015 .00B0 .005% 70000 .0009 -0000 -0007 .000L 0001 .0004 .0009 .00I8 .003é "0000 0000 .0000 .0000 .0000 .000I .0002 .0003 .0010O .0020 70000 0000 .0000 -.0000 .0000 .0000 .0001 .0002 .0006 .0012 0000 .000% 000% .0000 .0000 .0000 .0000 .000L .0003 .0007 0080 .0000 .0008 .0000 .0000 0000 .0000 .0001 .D002 .00O% 70000 0000 000% .0000 .0000 .0000 .0000 .000D .0001 .0002 
