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BẢNG SỐ - XÁC SUẤT THỐNG KÊ Bùi Dương Hải – NEU – www.mfe.edu.vn/buiduonghaiBảng 1. GIÁ TRỊ PHÂN PHỐI POISSON P(λ) ()!−==xPX x exλλ λ x 1 2 3 4 5 6 7 8 9 10 0 0.3679 0.1353 0.0498 0.0183 0.0067 0.0025 0.0009 0.0003 0.0001 0.00001 0.3679 0.2707 0.1494 0.0733 0.0337 0.0149 0.0064 0.0027 0.0011 0.00052 0.1839 0.2707 0.2240 0.1465 0.0842 0.0446 0.0223 0.0107 0.0050 0.00233 0.0613 0.1804 0.2240 0.1954 0.1404 0.0892 0.0521 0.0286 0.0150 0.00764 0.0153 0.0902 0.1680 0.1954 0.1755 0.1339 0.0912 0.0573 0.0337 0.01895 0.0031 0.0361 0.1008 0.1563 0.1755 0.1606 0.1277 0.0916 0.0607 0.03786 0.0005 0.0120 0.0504 0.1042 0.1462 0.1606 0.1490 0.1221 0.0911 0.06317 0.0001 0.0034 0.0216 0.0595 0.1044 0.1377 0.1490 0.1396 0.1171 0.09018 0.0000 0.0009 0.0081 0.0298 0.0653 0.1033 0.1304 0.1396 0.1318 0.11269 0.0002 0.0027 0.0132 0.0363 0.0688 0.1014 0.1241 0.1318 0.125110 0.0000 0.0008 0.0053 0.0181 0.0413 0.0710 0.0993 0.1186 0.125111 0.0002 0.0019 0.0082 0.0225 0.0452 0.0722 0.0970 0.113712 0.0001 0.0006 0.0034 0.0113 0.0263 0.0481 0.0728 0.094813 0.0000 0.0002 0.0013 0.0052 0.0142 0.0296 0.0504 0.072914 0.0001 0.0005 0.0022 0.0071 0.0169 0.0324 0.052115 0.0000 0.0002 0.0009 0.0033 0.0090 0.0194 0.034716 0.0000 0.0003 0.0014 0.0045 0.0109 0.021717 0.0001 0.0006 0.0021 0.0058 0.012818 0.0000 0.0002 0.0009 0.0029 0.007119 0.0001 0.0004 0.0014 0.003720 0.0000 0.0002 0.0006 0.001921 0.0001 0.0003 0.000922 0.0000 0.0001 0.000423 0.0000 0.000224 0.000125 0.0000 1BẢNG SỐ - XÁC SUẤT THỐNG KÊ Bùi Dương Hải – NEU – www.mfe.edu.vn/buiduonghaiBảng 2. GIÁ TRỊ HÀM MẬT ĐỘ PHÂN PHỐI CHUẨN HÓA 21() exp22⎛⎞=−⎜⎟⎝⎠uuϕπ u 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.3989 0.3950 0.3910 0.3872 0.3833 0.3795 0.3757 0.3720 0.3683 0.36460.1 0.3610 0.3574 0.3538 0.3503 0.3468 0.3434 0.3400 0.3366 0.3332 0.32990.2 0.3266 0.3234 0.3202 0.3170 0.3138 0.3107 0.3076 0.3045 0.3015 0.29850.3 0.2955 0.2926 0.2897 0.2868 0.2840 0.2811 0.2783 0.2756 0.2728 0.27010.4 0.2674 0.2648 0.2621 0.2595 0.2569 0.2544 0.2518 0.2493 0.2469 0.24440.5 0.2420 0.2396 0.2372 0.2348 0.2325 0.2302 0.2279 0.2256 0.2234 0.22110.6 0.2189 0.2168 0.2146 0.2125 0.2104 0.2083 0.2062 0.2041 0.2021 0.20010.7 0.1981 0.1961 0.1942 0.1923 0.1903 0.1884 0.1866 0.1847 0.1829 0.18110.8 0.1793 0.1775 0.1757 0.1740 0.1722 0.1705 0.1688 0.1671 0.1655 0.16380.9 0.1622 0.1606 0.1590 0.1574 0.1558 0.1543 0.1528 0.1512 0.1497 0.14821.0 0.1468 0.1453 0.1439 0.1424 0.1410 0.1396 0.1382 0.1368 0.1355 0.13411.1 0.1328 0.1315 0.1302 0.1289 0.1276 0.1263 0.1251 0.1238 0.1226 0.12141.2 0.1202 0.1190 0.1178 0.1166 0.1154 0.1143 0.1132 0.1120 0.1109 0.10981.3 0.1087 0.1076 0.1066 0.1055 0.1045 0.1034 0.1024 0.1014 0.1004 0.09941.4 0.0984 0.0974 0.0964 0.0955 0.0945 0.0936 0.0926 0.0917 0.0908 0.08991.5 0.0890 0.0881 0.0873 0.0864 0.0855 0.0847 0.0838 0.0830 0.0822 0.08141.6 0.0805 0.0797 0.0790 0.0782 0.0774 0.0766 0.0759 0.0751 0.0744 0.07361.7 0.0729 0.0722 0.0714 0.0707 0.0700 0.0693 0.0686 0.0680 0.0673 0.06661.8 0.0659 0.0653 0.0646 0.0640 0.0634 0.0627 0.0621 0.0615 0.0609 0.06031.9 0.0597 0.0591 0.0585 0.0579 0.0573 0.0568 0.0562 0.0556 0.0551 0.05452.0 0.0540 0.0535 0.0529 0.0524 0.0519 0.0514 0.0508 0.0503 0.0498 0.04932.1 0.0489 0.0484 0.0479 0.0474 0.0469 0.0465 0.0460 0.0456 0.0451 0.04462.2 0.0442 0.0438 0.0433 0.0429 0.0425 0.0420 0.0416 0.0412 0.0408 0.04042.3 0.0400 0.0396 0.0392 0.0388 0.0384 0.0380 0.0377 0.0373 0.0369 0.03662.4 0.0362 0.0358 0.0355 0.0351 0.0348 0.0344 0.0341 0.0337 0.0334 0.03312.5 0.0327 0.0324 0.0321 0.0318 0.0315 0.0312 0.0308 0.0305 0.0302 0.02992.6 0.0296 0.0293 0.0290 0.0288 0.0285 0.0282 0.0279 0.0276 0.0274 0.02712.7 0.0268 0.0265 0.0263 0.0260 0.0258 0.0255 0.0252 0.0250 0.0247 0.02452.8 0.0243 0.0240 0.0238 0.0235 0.0233 0.0231 0.0228 0.0226 0.0224 0.02222.9 0.0220 0.0217 0.0215 0.0213 0.0211 0.0209 0.0207 0.0205 0.0203 0.02013.0 0.0199 0.0197 0.0195 0.0193 0.0191 0.0189 0.0187 0.0185 0.0183 0.01823.1 0.0180 0.0178 0.0176 0.0174 0.0173 0.0171 0.0169 0.0168 0.0166 0.01643.2 0.0163 0.0161 0.0159 0.0158 0.0156 0.0155 0.0153 0.0152 0.0150 0.01493.3 0.0147 0.0146 0.0144 0.0143 0.0141 0.0140 0.0139 0.0137 0.0136 0.01343.4 0.0133 0.0132 0.0131 0.0129 0.0128 0.0127 0.0125 0.0124 0.0123 0.01223.5 0.0120 0.0119 0.0118 0.0117 0.0116 0.0115 0.0113 0.0112 0.0111 0.01103.6 0.0109 0.0108 0.0107 0.0106 0.0105 0.0104 0.0103 0.0102 0.0101 0.01003.7 0.0099 0.0098 0.0097 0.0096 0.0095 0.0094 0.0093 0.0092 0.0091 0.00903.8 0.0089 0.0088 0.0087 0.0087 0.0086 0.0085 0.0084 0.0083 0.0082 0.00823.9 0.0081 0.0080 0.0079 0.0078 0.0078 0.0077 0.0076 0.0075 0.0075 0.00744.0 0.0073 0.0072 0.0072 0.0071 0.0070 0.0070 0.0069 0.0068 0.0067 0.00674.1 0.0066 0.0065 0.0065 0.0064 0.0064 0.0063 0.0062 0.0062 0.0061 0.00604.2 0.0060 0.0059 0.0059 0.0058 0.0057 0.0057 0.0056 0.0056 0.0055 0.00554.3 0.0054 0.0054 0.0053 0.0053 0.0052 0.0051 0.0051 0.0050 0.0050 0.00494.4 0.0049 0.0048 0.0048 0.0048 0.0047 0.0047 0.0046 0.0046 0.0045 0.0045 2BẢNG SỐ - XÁC SUẤT THỐNG KÊ Bùi Dương Hải – NEU – www.mfe.edu.vn/buiduonghaiBảng 2. GIÁ TRỊ HÀM MẬT ĐỘ PHÂN PHỐI CHUẨN HÓA (tiếp) u 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 4.5 0.0044 0.0044 0.0043 0.0043 0.0043 0.0042 0.0042 0.0041 0.0041 0.00414.6 0.0040 0.0040 0.0039 0.0039 0.0039 0.0038 0.0038 0.0037 0.0037 0.00374.7 0.0036 0.0036 0.0036 0.0035 0.0035 0.0035 0.0034 0.0034 0.0033 0.00334.8 0.0033 0.0033 0.0032 0.0032 0.0032 0.0031 0.0031 0.0031 0.0030 0.00304.9 0.0030 0.0029 0.0029 0.0029 0.0029 0.0028 0.0028 0.0028 0.0027 0.00275.0 0.0027 0.0027 0.0026 0.0026 0.0026 0.0026 0.0025 0.0025 0.0025 0.00255.1 0.0024 0.0024 0.0024 0.0024 0.0023 0.0023 0.0023 0.0023 0.0022 0.00225.2 0.0022 0.0022 0.0022 0.0021 0.0021 0.0021 0.0021 0.0021 0.0020 0.00205.3 0.0020 0.0020 0.0020 0.0019 0.0019 0.0019 0.0019 0.0019 0.0018 0.00185.4 0.0018 0.0018 0.0018 0.0017 0.0017 0.0017 0.0017 0.0017 0.0017 0.00165.5 0.0016 0.0016 0.0016 0.0016 0.0016 0.0016 0.0015 0.0015 0.0015 0.00155.6 0.0015 0.0015 0.0014 0.0014 0.0014 0.0014 0.0014 0.0014 0.0014 0.00135.7 0.0013 0.0013 0.0013 0.0013 0.0013 0.0013 0.0013 0.0012 0.0012 0.00125.8 0.0012 0.0012 0.0012 0.0012 0.0012 0.0011 0.0011 0.0011 0.0011 0.00115.9 0.0011 0.0011 0.0011 0.0011 0.0011 0.0010 0.0010 0.0010 0.0010 0.00106.0 0.0010 0.0010 0.0010 0.0010 0.0010 0.0009 0.0009 0.0009 0.0009 0.00096.1 0.0009 0.0009 0.0009 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.00086.2 0.0008 0.0008 0.0008 0.0008 0.0008 0.0008 0.0008 0.0008 0.0007 0.00076.3 0.0007 0.0007 0.0007 0.0007 0.0007 0.0007 0.0007 0.0007 0.0007 0.00076.4 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.00066.5 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.00056.6 0.0005 0.0005 0.0005 0.0005 0.0005 0.0005 0.0005 0.0005 0.0005 0.00056.7 0.0005 0.0005 0.0005 0.0005 0.0005 0.0005 0.0005 0.0005 0.0005 0.00046.8 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.00046.9 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.00047.0 0.0004 0.0004 0.0004 0.0004 0.0003 0.0003 0.0003 0.0003 0.0003 0.00037.1 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.00037.2 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.00037.3 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.00027.4 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.00027.5 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.00027.6 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.00027.7 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.00027.8 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.00017.9 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.00018.0 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.00018.1 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.00018.2 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.00018.3 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.00018.4 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.00018.5 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.00018.6 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.00018.7 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.00018.8 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.00018.9 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.00009.0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 3BẢNG SỐ - XÁC SUẤT THỐNG KÊ Bùi Dương Hải – NEU – www.mfe.edu.vn/buiduonghai 4Bảng 3. GIÁ TRỊ HÀM ()udzϕΦ=∫ )()uz00() (Φ−=−Φuu 00u 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.03590.1 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.07530.2 0.0793 0.0832 0.0871 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.11410.3 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.15170.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.18790.5 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.22240.6 0.2257 0.2291 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.25490.7 0.2580 0.2611 0.2642 0.2673 0.2704 0.2734 0.2764 0.2794 0.2823 0.28520.8 0.2881 0.2910 0.2939 0.2967 0.2995 0.3023 0.3051 0.3078 0.3106 0.31330.9 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.33891.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.36211.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.38301.2 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.40151.3 0.4032 0.4049 0.4066 0.4082 0.4099 0.4115 0.4131 0.4147 0.4162 0.41771.4 0.4192 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.43191.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.44411.6 0.4452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.45451.7 0.4554 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.46331.8 0.4641 0.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.47061.9 0.4713 0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4761 0.47672.0 0.4772 0.4778 0.4783 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.48172.1 0.4821 0.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.48572.2 0.4861 0.4864 0.4868 0.4871 0.4875 0.4878 0.4881 0.4884 0.4887 0.48902.3 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4909 0.4911 0.4913 0.49162.4 0.4918 0.4920 0.4922 0.4925 0.4927 0.4929 0.4931 0.4932 0.4934 0.49362.5 0.4938 0.4940 0.4941 0.4943 0.4945 0.4946 0.4948 0.4949 0.4951 0.49522.6 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4961 0.4962 0.4963 0.49642.7 0.4965 0.4966 0.4967 0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.49742.8 0.4974 0.4975 0.4976 0.4977 0.4977 0.4978 0.4979 0.4979 0.4980 0.49812.9 0.4981 0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.49863.0 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.49903.1 0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993 0.49933.2 0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995 0.49953.3 0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4996 0.4996 0.49973.4 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.49983.5 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.49983.6 0.4998 0.4998 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.49993.7 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.49993.8 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.49993.9 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.50004.0 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 BẢNG SỐ - XÁC SUẤT THỐNG KÊ Bùi Dương Hải – NEU – www.mfe.edu.vn/buiduonghai 5Bảng 4. GIÁ TRỊ HÀM Φ(u) = P(U < u) dzϕΦ=∫ () ()zuz−∞u 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 3.5 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 3.6 0.9998 0.9998 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.7 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.8 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.9 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 4.0 00 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.001.0000 1.00 00 1.0000 BẢNG SỐ - XÁC SUẤT THỐNG KÊ Bùi Dương Hải – NEU – www.mfe.edu.vn/buiduonghai 6ảng 5 . GIÁ TRỊ XÁC SUẤT P(U > u) ; GIÁ TRỊ TỚI HẠN CHUẨN uα Bu 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.46410.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.42470.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.38590.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.34830.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.31210.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.27760.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.24510.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.21480.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.18670.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.16111.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.13791.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.11701.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.09851.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.08231.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.06811.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.05591.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.04551.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.03671.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.02941.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.02332.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.01832.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.01432.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.01102.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.00842.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.00642.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.00482.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.00362.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.00262.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.00192.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.00143.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.00103.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.00073.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.00053.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.00033.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.00023.5 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.00023.6 0.0002 0.0002 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.00013.7 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.00013.8 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.00013.9 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.00004.0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 BẢNG SỐ - XÁC SUẤT THỐNG KÊ Bùi Dương Hải – NEU – www.mfe.edu.vn/buiduonghaiBảng 6. GIÁ TRỊ TỚI HẠN PHÂN PHỐI STUDENT (n)αt α n 0.2 0.15 0.1 0.05 0.025 0.01 0.005 0.0025 0.001 1 1.376 1.963 3.078 6.314 12.71 31.82 63.66 127.3 318.3 2 1.061 1.386 1.886 2.920 4.303 6.965 9.925 14.09 22.33 3 0.978 1.250 1.638 2.353 3.182 4.541 5.841 7.453 10.22 4 0.941 1.190 1.533 2.132 2.776 3.747 4.604 5.598 7.173 5 0.920 1.156 1.476 2.015 2.571 3.365 4.032 4.773 5.893 6 0.906 1.134 1.440 1.943 2.447 3.143 3.707 4.317 5.208 7 0.896 1.119 1.415 1.895 2.365 2.998 3.499 4.029 4.785 8 0.889 1.108 1.397 1.860 2.306 2.896 3.355 3.833 4.501 9 0.883 1.100 1.383 1.833 2.262 2.821 3.250 3.690 4.297 10 0.879 1.093 1.372 1.812 2.228 2.764 3.169 3.581 4.144 11 0.876 1.088 1.363 1.796 2.201 2.718 3.106 3.497 4.025 12 0.873 1.083 1.356 1.782 2.179 2.681 3.055 3.428 3.930 13 0.870 1.079 1.350 1.771 2.160 2.650 3.012 3.372 3.852 14 0.868 1.076 1.345 1.761 2.145 2.624 2.977 3.326 3.787 15 0.866 1.074 1.341 1.753 2.131 2.602 2.947 3.286 3.733 16 0.865 1.071 1.337 1.746 2.120 2.583 2.921 3.252 3.686 17 0.863 1.069 1.333 1.740 2.110 2.567 2.898 3.222 3.646 18 0.862 1.067 1.330 1.734 2.101 2.552 2.878 3.197 3.610 19 0.861 1.066 1.328 1.729 2.093 2.539 2.861 3.174 3.579 20 0.860 1.064 1.325 1.725 2.086 2.528 2.845 3.153 3.552 21 0.859 1.063 1.323 1.721 2.080 2.518 2.831 3.135 3.527 22 0.858 1.061 1.321 1.717 2.074 2.508 2.819 3.119 3.505 23 0.858 1.060 1.319 1.714 2.069 2.500 2.807 3.104 3.485 24 0.857 1.059 1.318 1.711 2.064 2.492 2.797 3.091 3.467 25 0.856 1.058 1.316 1.708 2.060 2.485 2.787 3.078 3.450 26 0.856 1.058 1.315 1.706 2.056 2.479 2.779 3.067 3.435 27 0.855 1.057 1.314 1.703 2.052 2.473 2.771 3.057 3.421 28 0.855 1.056 1.313 1.701 2.048 2.467 2.763 3.047 3.408 29 0.854 1.055 1.311 1.699 2.045 2.462 2.756 3.038 3.396 30 0.854 1.055 1.310 1.697 2.042 2.457 2.750 3.030 3.385 40 0.851 1.050 1.303 1.684 2.021 2.423 2.704 2.971 3.307 50 0.849 1.047 1.299 1.676 2.009 2.403 2.678 2.937 3.261 60 0.848 1.045 1.296 1.671 2.000 2.390 2.660 2.915 3.232 70 0.847 1.044 1.294 1.667 1.994 2.381 2.648 2.899 3.211 80 0.846 1.043 1.292 1.664 1.990 2.374 2.639 2.887 3.195 90 0.846 1.042 1.291 1.662 1.987 2.368 2.632 2.878 3.183 100 0.845 1.042 1.290 1.660 1.984 2.364 2.626 2.871 3.174 120 0.845 1.041 1.289 1.658 1.980 2.358 2.617 2.860 3.160 240 0.843 1.039 1.285 1.651 1.970 2.342 2.596 2.833 3.125 ∞ 0.842 1.036 1.282 1.645 1.960 2.326 2.576 2.807 3.090 7BẢNG SỐ - XÁC SUẤT THỐNG KÊ Bùi Dương Hải – NEU – www.mfe.edu.vn/buiduonghai 8χ Bảng 7. GIÁ TRỊ TỚI HẠN PHÂN PHỐI KHI-BÌNH PHƯƠNG 2(αn) α n 0.995 0.99 0.975 0.95 0.9 0.1 0.05 0.025 0.01 0.005 1 0.000 0.000 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879 2 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 10.60 3 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.34 12.84 4 0.207 0.297 0.484 0.711 1.064 7.779 9.488 11.14 13.28 14.86 5 0.412 0.554 0.831 1.145 1.610 9.236 11.07 12.83 15.09 16.75 6 0.676 0.872 1.237 1.635 2.204 10.64 12.59 14.45 16.81 18.55 7 0.989 1.239 1.690 2.167 2.833 12.02 14.07 16.01 18.48 20.28 8 1.344 1.646 2.180 2.733 3.490 13.36 15.51 17.53 20.09 21.95 9 1.735 2.088 2.700 3.325 4.168 14.68 16.92 19.02 21.67 23.59 10 2.156 2.558 3.247 3.940 4.865 15.99 18.31 20.48 23.21 25.19 11 2.603 3.053 3.816 4.575 5.578 17.28 19.68 21.92 24.72 26.76 12 3.074 3.571 4.404 5.226 6.304 18.55 21.03 23.34 26.22 28.30 13 3.565 4.107 5.009 5.892 7.042 19.81 22.36 24.74 27.69 29.82 14 4.075 4.660 5.629 6.571 7.790 21.06 23.68 26.12 29.14 31.32 15 4.601 5.229 6.262 7.261 8.547 22.31 25.00 27.49 30.58 32.80 16 5.142 5.812 6.908 7.962 9.312 23.54 26.30 28.85 32.00 34.27 17 5.697 6.408 7.564 8.672 10.09 24.77 27.59 30.19 33.41 35.72 18 6.265 7.015 8.231 9.390 10.86 25.99 28.87 31.53 34.81 37.16 19 6.844 7.633 8.907 10.12 11.65 27.20 30.14 32.85 36.19 38.58 20 7.434 8.260 9.591 10.85 12.44 28.41 31.41 34.17 37.57 40.00 21 8.034 8.897 10.28 11.59 13.24 29.62 32.67 35.48 38.93 41.40 22 8.643 9.542 10.98 12.34 14.04 30.81 33.92 36.78 40.29 42.80 23 9.260 10.20 11.69 13.09 14.85 32.01 35.17 38.08 41.64 44.18 24 9.886 10.86 12.40 13.85 15.66 33.20 36.42 39.36 42.98 45.56 25 10.52 11.52 13.12 14.61 16.47 34.38 37.65 40.65 44.31 46.93 26 11.16 12.20 13.84 15.38 17.29 35.56 38.89 41.92 45.64 48.29 27 11.81 12.88 14.57 16.15 18.11 36.74 40.11 43.19 46.96 49.64 28 12.46 13.56 15.31 16.93 18.94 37.92 41.34 44.46 48.28 50.99 29 13.12 14.26 16.05 17.71 19.77 39.09 42.56 45.72 49.59 52.34 30 13.79 14.95 16.79 18.49 20.60 40.26 43.77 46.98 50.89 53.67 40 20.71 22.16 24.43 26.51 29.05 51.81 55.76 59.34 63.69 66.77 50 27.99 29.71 32.36 34.76 37.69 63.17 67.50 71.42 76.15 79.49 60 35.53 37.48 40.48 43.19 46.46 74.40 79.08 83.30 88.38 91.95 70 43.28 45.44 48.76 51.74 55.33 85.53 90.53 95.02 100.4 104.2 80 51.17 53.54 57.15 60.39 64.28 96.58 101.9 106.6 112.3 116.3 90 59.20 61.75 65.65 69.13 73.29 107.6 113.1 118.1 124.1 128.3 100 67.33 70.06 74.22 77.93 82.36 118.5 124.3 129.6 135.8 140.2 120 83.85 86.92 91.57 95.70 100.6 140.2 146.6 152.2 159.0 163.6 150 109.1 112.7 118.0 122.7 128.3 172.6 179.6 185.8 193.2 198.4 200 152.2 156.4 162.7 168.3 174.8 226.0 234.0 241.1 249.4 255.3 BẢNG SỐ - XÁC SUẤT THỐNG KÊ Bùi Dương Hải – NEU – www.mfe.edu.vn/buiduonghaiBảng 8. GIÁ TRỊ TỚI HẠN PHÂN PHỐI FISHER 12(n ,n )αf n2n1 α 1 2 3 4 5 6 7 8 9 10 0.1 4.060 3.780 3.619 3.520 3.453 3.405 3.368 3.339 3.316 3.297 5 0.05 6.608 5.786 5.409 5.192 5.050 4.950 4.876 4.818 4.772 4.735 0.025 10.007 8.434 7.764 7.388 7.146 6.978 6.853 6.757 6.681 6.619 0.1 3.776 3.463 3.289 3.181 3.108 3.055 3.014 2.983 2.958 2.937 6 0.05 5.987 5.143 4.757 4.534 4.387 4.284 4.207 4.147 4.099 4.060 0.025 8.813 7.260 6.599 6.227 5.988 5.820 5.695 5.600 5.523 5.461 0.1 3.589 3.257 3.074 2.961 2.883 2.827 2.785 2.752 2.725 2.703 7 0.05 5.591 4.737 4.347 4.120 3.972 3.866 3.787 3.726 3.677 3.637 0.025 8.073 6.542 5.890 5.523 5.285 5.119 4.995 4.899 4.823 4.761 0.1 3.458 3.113 2.924 2.806 2.726 2.668 2.624 2.589 2.561 2.538 8 0.05 5.318 4.459 4.066 3.838 3.687 3.581 3.500 3.438 3.388 3.347 0.025 7.571 6.059 5.416 5.053 4.817 4.652 4.529 4.433 4.357 4.295 0.1 3.360 3.006 2.813 2.693 2.611 2.551 2.505 2.469 2.440 2.416 9 0.05 5.117 4.256 3.863 3.633 3.482 3.374 3.293 3.230 3.179 3.137 0.025 7.209 5.715 5.078 4.718 4.484 4.320 4.197 4.102 4.026 3.964 0.1 3.285 2.924 2.728 2.605 2.522 2.461 2.414 2.377 2.347 2.323 10 0.05 4.965 4.103 3.708 3.478 3.326 3.217 3.135 3.072 3.020 2.978 0.025 6.937 5.456 4.826 4.468 4.236 4.072 3.950 3.855 3.779 3.717 0.1 3.225 2.860 2.660 2.536 2.451 2.389 2.342 2.304 2.274 2.248 11 0.05 4.844 3.982 3.587 3.357 3.204 3.095 3.012 2.948 2.896 2.854 0.025 6.724 5.256 4.630 4.275 4.044 3.881 3.759 3.664 3.588 3.526 0.1 3.177 2.807 2.606 2.480 2.394 2.331 2.283 2.245 2.214 2.188 12 0.05 4.747 3.885 3.490 3.259 3.106 2.996 2.913 2.849 2.796 2.753 0.025 6.554 5.096 4.474 4.121 3.891 3.728 3.607 3.512 3.436 3.374 0.1 3.136 2.763 2.560 2.434 2.347 2.283 2.234 2.195 2.164 2.138 13 0.05 4.667 3.806 3.411 3.179 3.025 2.915 2.832 2.767 2.714 2.671 0.025 6.414 4.965 4.347 3.996 3.767 3.604 3.483 3.388 3.312 3.250 0.1 3.102 2.726 2.522 2.395 2.307 2.243 2.193 2.154 2.122 2.095 14 0.05 4.600 3.739 3.344 3.112 2.958 2.848 2.764 2.699 2.646 2.602 0.025 6.298 4.857 4.242 3.892 3.663 3.501 3.380 3.285 3.209 3.147 0.1 3.073 2.695 2.490 2.361 2.273 2.208 2.158 2.119 2.086 2.059 15 0.05 4.543 3.682 3.287 3.056 2.901 2.790 2.707 2.641 2.588 2.544 0.025 6.200 4.765 4.153 3.804 3.576 3.415 3.293 3.199 3.123 3.060 0.1 3.048 2.668 2.462 2.333 2.244 2.178 2.128 2.088 2.055 2.028 16 0.05 4.494 3.634 3.239 3.007 2.852 2.741 2.657 2.591 2.538 2.494 0.025 6.115 4.687 4.077 3.729 3.502 3.341 3.219 3.125 3.049 2.986 0.1 3.026 2.645 2.437 2.308 2.218 2.152 2.102 2.061 2.028 2.001 17 0.05 4.451 3.592 3.197 2.965 2.810 2.699 2.614 2.548 2.494 2.450 0.025 6.042 4.619 4.011 3.665 3.438 3.277 3.156 3.061 2.985 2.922 0.1 3.007 2.624 2.416 2.286 2.196 2.130 2.079 2.038 2.005 1.977 18 0.05 4.414 3.555 3.160 2.928 2.773 2.661 2.577 2.510 2.456 2.412 0.025 5.978 4.560 3.954 3.608 3.382 3.221 3.100 3.005 2.929 2.866 0.1 2.975 2.589 2.380 2.249 2.158 2.091 2.040 1.999 1.965 1.937 20 0.05 4.351 3.493 3.098 2.866 2.711 2.599 2.514 2.447 2.393 2.348 0.025 5.871 4.461 3.859 3.515 3.289 3.128 3.007 2.913 2.837 2.774 9BẢNG SỐ - XÁC SUẤT THỐNG KÊ Bùi Dương Hải – NEU – www.mfe.edu.vn/buiduonghai GIÁ TRỊ TỚI HẠN PHÂN PHỐI FISHER (tiếp) n2n1 α 12 15 20 30 40 60 80 100 120 240 0.1 3.268 3.238 3.207 3.174 3.157 3.140 3.132 3.126 3.123 3.114 5 0.05 4.678 4.619 4.558 4.496 4.464 4.431 4.415 4.405 4.398 4.382 0.025 6.525 6.428 6.329 6.227 6.175 6.123 6.096 6.080 6.069 6.042 0.1 2.905 2.871 2.836 2.800 2.781 2.762 2.752 2.746 2.742 2.732 6 0.05 4.000 3.938 3.874 3.808 3.774 3.740 3.722 3.712 3.705 3.687 0.025 5.366 5.269 5.168 5.065 5.012 4.959 4.932 4.915 4.904 4.877 0.1 2.668 2.632 2.595 2.555 2.535 2.514 2.504 2.497 2.493 2.482 7 0.05 3.575 3.511 3.445 3.376 3.340 3.304 3.286 3.275 3.267 3.249 0.025 4.666 4.568 4.467 4.362 4.309 4.254 4.227 4.210 4.199 4.171 0.1 2.502 2.464 2.425 2.383 2.361 2.339 2.328 2.321 2.316 2.304 8 0.05 3.284 3.218 3.150 3.079 3.043 3.005 2.986 2.975 2.967 2.947 0.025 4.200 4.101 3.999 3.894 3.840 3.784 3.756 3.739 3.728 3.699 0.1 2.379 2.340 2.298 2.255 2.232 2.208 2.196 2.189 2.184 2.172 9 0.05 3.073 3.006 2.936 2.864 2.826 2.787 2.768 2.756 2.748 2.727 0.025 3.868 3.769 3.667 3.560 3.505 3.449 3.421 3.403 3.392 3.363 0.1 2.284 2.244 2.201 2.155 2.132 2.107 2.095 2.087 2.082 2.069 10 0.05 2.913 2.845 2.774 2.700 2.661 2.621 2.601 2.588 2.580 2.559 0.025 3.621 3.522 3.419 3.311 3.255 3.198 3.169 3.152 3.140 3.110 0.1 2.209 2.167 2.123 2.076 2.052 2.026 2.013 2.005 2.000 1.986 11 0.05 2.788 2.719 2.646 2.570 2.531 2.490 2.469 2.457 2.448 2.426 0.025 3.430 3.330 3.226 3.118 3.061 3.004 2.974 2.956 2.944 2.914 0.1 2.147 2.105 2.060 2.011 1.986 1.960 1.946 1.938 1.932 1.918 12 0.05 2.687 2.617 2.544 2.466 2.426 2.384 2.363 2.350 2.341 2.319 0.025 3.277 3.177 3.073 2.963 2.906 2.848 2.818 2.800 2.787 2.756 0.1 2.097 2.053 2.007 1.958 1.931 1.904 1.890 1.882 1.876 1.861 13 0.05 2.604 2.533 2.459 2.380 2.339 2.297 2.275 2.261 2.252 2.230 0.025 3.153 3.053 2.948 2.837 2.780 2.720 2.690 2.671 2.659 2.628 0.1 2.054 2.010 1.962 1.912 1.885 1.857 1.843 1.834 1.828 1.813 14 0.05 2.534 2.463 2.388 2.308 2.266 2.223 2.201 2.187 2.178 2.155 0.025 3.050 2.949 2.844 2.732 2.674 2.614 2.583 2.565 2.552 2.520 0.1 2.017 1.972 1.924 1.873 1.845 1.817 1.802 1.793 1.787 1.771 15 0.05 2.475 2.403 2.328 2.247 2.204 2.160 2.137 2.123 2.114 2.090 0.025 2.963 2.862 2.756 2.644 2.585 2.524 2.493 2.474 2.461 2.429 0.1 1.985 1.940 1.891 1.839 1.811 1.782 1.766 1.757 1.751 1.735 16 0.05 2.425 2.352 2.276 2.194 2.151 2.106 2.083 2.068 2.059 2.035 0.025 2.889 2.788 2.681 2.568 2.509 2.447 2.415 2.396 2.383 2.350 0.1 1.958 1.912 1.862 1.809 1.781 1.751 1.735 1.726 1.719 1.703 17 0.05 2.381 2.308 2.230 2.148 2.104 2.058 2.035 2.020 2.011 1.986 0.025 2.825 2.723 2.616 2.502 2.442 2.380 2.348 2.329 2.315 2.282 0.1 1.933 1.887 1.837 1.783 1.754 1.723 1.707 1.698 1.691 1.674 18 0.05 2.342 2.269 2.191 2.107 2.063 2.017 1.993 1.978 1.968 1.943 0.025 2.769 2.667 2.559 2.445 2.384 2.321 2.289 2.269 2.256 2.222 0.1 1.912 1.865 1.814 1.759 1.730 1.699 1.683 1.673 1.666 1.649 20 0.05 2.308 2.234 2.155 2.071 2.026 1.980 1.955 1.940 1.930 1.905 0.025 2.720 2.617 2.509 2.394 2.333 2.270 2.237 2.217 2.203 2.169 10BẢNG SỐ - XÁC SUẤT THỐNG KÊ Bùi Dương Hải – NEU – www.mfe.edu.vn/buiduonghai GIÁ TRỊ TỚI HẠN PHÂN PHỐI FISHER (tiếp) n2n1 α 1 2 3 4 5 6 7 8 9 10 0.1 2.961 2.575 2.365 2.233 2.142 2.075 2.023 1.982 1.948 1.920 21 0.05 4.325 3.467 3.072 2.840 2.685 2.573 2.488 2.420 2.366 2.321 0.025 5.827 4.420 3.819 3.475 3.250 3.090 2.969 2.874 2.798 2.735 0.1 2.949 2.561 2.351 2.219 2.128 2.060 2.008 1.967 1.933 1.904 22 0.05 4.301 3.443 3.049 2.817 2.661 2.549 2.464 2.397 2.342 2.297 0.025 5.786 4.383 3.783 3.440 3.215 3.055 2.934 2.839 2.763 2.700 0.1 2.918 2.528 2.317 2.184 2.092 2.024 1.971 1.929 1.895 1.866 25 0.05 4.242 3.385 2.991 2.759 2.603 2.490 2.405 2.337 2.282 2.236 0.025 5.686 4.291 3.694 3.353 3.129 2.969 2.848 2.753 2.677 2.613 0.1 2.881 2.489 2.276 2.142 2.049 1.980 1.927 1.884 1.849 1.819 30 0.05 4.171 3.316 2.922 2.690 2.534 2.421 2.334 2.266 2.211 2.165 0.025 5.568 4.182 3.589 3.250 3.026 2.867 2.746 2.651 2.575 2.511 0.1 2.835 2.440 2.226 2.091 1.997 1.927 1.873 1.829 1.793 1.763 40 0.05 4.085 3.232 2.839 2.606 2.449 2.336 2.249 2.180 2.124 2.077 0.025 5.424 4.051 3.463 3.126 2.904 2.744 2.624 2.529 2.452 2.388 0.1 2.809 2.412 2.197 2.061 1.966 1.895 1.840 1.796 1.760 1.729 50 0.05 4.034 3.183 2.790 2.557 2.400 2.286 2.199 2.130 2.073 2.026 0.025 5.340 3.975 3.390 3.054 2.833 2.674 2.553 2.458 2.381 2.317 0.1 2.791 2.393 2.177 2.041 1.946 1.875 1.819 1.775 1.738 1.707 60 0.05 4.001 3.150 2.758 2.525 2.368 2.254 2.167 2.097 2.040 1.993 0.025 5.286 3.925 3.343 3.008 2.786 2.627 2.507 2.412 2.334 2.270 0.1 2.779 2.380 2.164 2.027 1.931 1.860 1.804 1.760 1.723 1.691 70 0.05 3.978 3.128 2.736 2.503 2.346 2.231 2.143 2.074 2.017 1.969 0.025 5.247 3.890 3.309 2.975 2.754 2.595 2.474 2.379 2.302 2.237 0.1 2.769 2.370 2.154 2.016 1.921 1.849 1.793 1.748 1.711 1.680 80 0.05 3.960 3.111 2.719 2.486 2.329 2.214 2.126 2.056 1.999 1.951 0.025 5.218 3.864 3.284 2.950 2.730 2.571 2.450 2.355 2.277 2.213 0.1 2.762 2.363 2.146 2.008 1.912 1.841 1.785 1.739 1.702 1.670 90 0.05 3.947 3.098 2.706 2.473 2.316 2.201 2.113 2.043 1.986 1.938 0.025 5.196 3.844 3.265 2.932 2.711 2.552 2.432 2.336 2.259 2.194 0.1 2.756 2.356 2.139 2.002 1.906 1.834 1.778 1.732 1.695 1.663 100 0.05 3.936 3.087 2.696 2.463 2.305 2.191 2.103 2.032 1.975 1.927 0.025 5.179 3.828 3.250 2.917 2.696 2.537 2.417 2.321 2.244 2.179 0.1 2.748 2.347 2.130 1.992 1.896 1.824 1.767 1.722 1.684 1.652 120 0.05 3.920 3.072 2.680 2.447 2.290 2.175 2.087 2.016 1.959 1.910 0.025 5.152 3.805 3.227 2.894 2.674 2.515 2.395 2.299 2.222 2.157 0.1 2.739 2.338 2.121 1.983 1.886 1.814 1.757 1.712 1.674 1.642 150 0.05 3.904 3.056 2.665 2.432 2.274 2.160 2.071 2.001 1.943 1.894 0.025 5.126 3.781 3.204 2.872 2.652 2.494 2.373 2.278 2.200 2.135 0.1 5.109 3.766 3.189 2.858 2.638 2.479 2.359 2.263 2.185 2.120 180 0.05 6.778 4.725 3.892 3.425 3.120 2.904 2.740 2.611 2.507 2.421 0.025 8.077 5.457 4.423 3.851 3.481 3.219 3.022 2.869 2.744 2.642 0.1 2.727 2.325 2.107 1.968 1.871 1.799 1.742 1.696 1.658 1.625 240 0.05 3.880 3.033 2.642 2.409 2.252 2.136 2.048 1.977 1.919 1.870 0.025 5.088 3.746 3.171 2.839 2.620 2.461 2.341 2.245 2.167 2.102 11BẢNG SỐ - XÁC SUẤT THỐNG KÊ Bùi Dương Hải – NEU – www.mfe.edu.vn/buiduonghai 12 GIÁ TRỊ TỚI HẠN PHÂN PHỐI FISHER (tiếp) n2n1 α 12 15 20 30 40 60 80 100 120 240 0.1 1.875 1.827 1.776 1.719 1.689 1.657 1.640 1.630 1.623 1.605 21 0.05 2.250 2.176 2.096 2.010 1.965 1.916 1.891 1.876 1.866 1.839 0.025 2.637 2.534 2.425 2.308 2.246 2.182 2.148 2.128 2.114 2.079 0.1 1.859 1.811 1.759 1.702 1.671 1.639 1.622 1.611 1.604 1.586 22 0.05 2.226 2.151 2.071 1.984 1.938 1.889 1.864 1.849 1.838 1.811 0.025 2.602 2.498 2.389 2.272 2.210 2.145 2.111 2.090 2.076 2.040 0.1 1.820 1.771 1.718 1.659 1.627 1.593 1.576 1.565 1.557 1.538 25 0.05 2.165 2.089 2.007 1.919 1.872 1.822 1.796 1.779 1.768 1.740 0.025 2.515 2.411 2.300 2.182 2.118 2.052 2.017 1.996 1.981 1.944 0.1 1.773 1.722 1.667 1.606 1.573 1.538 1.519 1.507 1.499 1.478 30 0.05 2.092 2.015 1.932 1.841 1.792 1.740 1.712 1.695 1.683 1.654 0.025 2.412 2.307 2.195 2.074 2.009 1.940 1.904 1.882 1.866 1.827 0.1 1.715 1.662 1.605 1.541 1.506 1.467 1.447 1.434 1.425 1.402 40 0.05 2.003 1.924 1.839 1.744 1.693 1.637 1.608 1.589 1.577 1.544 0.025 2.288 2.182 2.068 1.943 1.875 1.803 1.764 1.741 1.724 1.682 0.1 1.680 1.627 1.568 1.502 1.465 1.424 1.402 1.388 1.379 1.354 50 0.05 1.952 1.871 1.784 1.687 1.634 1.576 1.544 1.525 1.511 1.476 0.025 2.216 2.109 1.993 1.866 1.796 1.721 1.681 1.656 1.639 1.594 0.1 1.657 1.603 1.543 1.476 1.437 1.395 1.372 1.358 1.348 1.321 60 0.05 1.917 1.836 1.748 1.649 1.594 1.534 1.502 1.481 1.467 1.430 0.025 2.169 2.061 1.944 1.815 1.744 1.667 1.625 1.599 1.581 1.534 0.1 1.641 1.587 1.526 1.457 1.418 1.374 1.350 1.335 1.325 1.297 70 0.05 1.893 1.812 1.722 1.622 1.566 1.505 1.471 1.450 1.435 1.396 0.025 2.136 2.028 1.910 1.779 1.707 1.628 1.585 1.558 1.539 1.490 0.1 1.629 1.574 1.513 1.443 1.403 1.358 1.334 1.318 1.307 1.278 80 0.05 1.875 1.793 1.703 1.602 1.545 1.482 1.448 1.426 1.411 1.370 0.025 2.111 2.003 1.884 1.752 1.679 1.599 1.555 1.527 1.508 1.457 0.1 1.620 1.564 1.503 1.432 1.391 1.346 1.321 1.304 1.293 1.263 90 0.05 1.861 1.779 1.688 1.586 1.528 1.465 1.429 1.407 1.391 1.349 0.025 2.092 1.983 1.864 1.731 1.657 1.576 1.531 1.503 1.483 1.430 0.1 1.612 1.557 1.494 1.423 1.382 1.336 1.310 1.293 1.282 1.250 100 0.05 1.850 1.768 1.676 1.573 1.515 1.450 1.415 1.392 1.376 1.333 0.025 2.077 1.968 1.849 1.715 1.640 1.558 1.512 1.483 1.463 1.409 0.1 1.601 1.545 1.482 1.409 1.368 1.320 1.294 1.277 1.265 1.232 120 0.05 1.834 1.750 1.659 1.554 1.495 1.429 1.392 1.369 1.352 1.307 0.025 2.055 1.945 1.825 1.690 1.614 1.530 1.483 1.454 1.433 1.376 0.1 1.590 1.533 1.470 1.396 1.353 1.305 1.277 1.259 1.247 1.212 150 0.05 1.817 1.734 1.641 1.535 1.475 1.407 1.369 1.345 1.327 1.280 0.025 2.032 1.922 1.801 1.665 1.588 1.502 1.454 1.423 1.402 1.342 0.1 2.018 1.907 1.786 1.649 1.571 1.484 1.435 1.403 1.381 1.319 180 0.05 2.285 2.140 1.982 1.805 1.706 1.595 1.534 1.494 1.466 1.390 0.025 2.481 2.309 2.124 1.918 1.803 1.676 1.605 1.560 1.528 1.440 0.1 1.573 1.516 1.451 1.376 1.332 1.281 1.252 1.233 1.219 1.180 240 0.05 1.793 1.708 1.614 1.507 1.445 1.375 1.335 1.308 1.290 1.237 0.025 1.999 1.888 1.766 1.628 1.549 1.460 1.410 1.377 1.354 1.289
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