Ph n CÁC B NG XÁC SU T Phần thứ tư Các bảng xác suất XSTK 2008 195 Xác su t − Th ng kê 196 Ph m Đ c Thông BẢNG Phân phối nhị thức: Giá trị P(X = k) = C nk p k (1 − p )n − k p n 0,05 k 0,25 0,30 0,35 0,40 0,45 0,50 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 0,7738 0,5905 0,4437 0,3277 0,2373 0,1681 0,1160 0,0778 0,0503 0,0313 2036 3281 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 0000 0005 0022 0064 0146 0284 0488 0768 1128 1563 0000 0001 0003 0010 0024 0053 0102 0185 0313 0,7351 0,5314 0,3771 0,2621 0,1780 0,1176 0,0754 0,0467 0,0277 0,0156 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 0001 0002 0007 0018 0041 0083 0156 0,6983 0,4783 0,3206 0,2097 0,1335 0,0824 0,0490 0,0280 0,0152 0,0078 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 0001 0004 0013 0036 0084 0172 0320 0547 0000 0000 0001 0002 0006 0016 0037 0078 0,20 0,15 0,8145 0,6561 0,5220 0,4096 0,3164 0,2401 0,1785 0,1296 0,0915 0,0625 0,10 0,6634 0,4305 0,2725 0,1678 0,1001 0,0576 0,0319 0,0168 0,0084 0,0039 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 0004 0046 0185 0459 0865 1361 1875 2322 2627 2734 0000 0004 0026 0092 0231 0467 0808 1239 1719 2188 Ph n 197 CÁC B NG XÁC SU T BẢNG ( tiếp ) Phân phối nhị thức: Giá trị P(X = k) = C nk p k (1 − p )n − k p n k 0,05 0,10 0,15 0000 0,35 0,40 0,45 0,50 0001 0004 0012 0033 0079 0164 0313 0000 0000 0001 0002 0007 0017 0039 2985 3874 3679 3020 2253 1556 1004 0605 0339 0176 0629 1722 2597 3020 3003 2668 2162 1612 1110 0703 0077 0446 1069 1762 2336 2668 2716 2508 2119 1641 0006 0074 0283 0661 1168 1715 2194 2508 2600 2461 0000 0008 0050 0165 0389 0735 1181 1672 2128 2461 0001 0006 0028 0087 0210 0424 0743 1160 1641 0000 0000 0003 0012 0039 0098 0212 0407 0703 0000 0001 0004 0013 0035 0083 0176 0000 0000 0001 0003 0008 0020 11 0,30 0,6302 0,3874 0,2316 0,1342 0,0751 0,0404 0,0207 0,0101 0,0046 0,0020 10 0,25 0,0000 0,0000 0,0002 0,0011 0,0038 0,0100 0,0217 0,0413 0,0703 0,1094 0,20 0,5987 0,3487 0,1969 0,1074 0,0563 0,0282 0,0135 0,0060 0,0025 0,0010 3151 3874 3474 2684 1877 1211 0725 0403 0207 0098 0746 1937 2759 3020 2816 2335 1757 1209 0763 0439 0105 0574 1298 2013 2503 2668 2522 2150 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 0001 0008 0031 0090 0212 0425 0746 1172 0000 0000 0000 0001 0004 0014 0043 0106 0229 0439 0000 0000 0000 0000 0000 0001 0005 0016 0042 0098 10 0000 0000 0000 0000 0000 0000 0000 0001 0003 0010 0,5688 0,3138 0,1673 0,0859 0,0422 0,0198 0,0088 0,0036 0,0014 0,0005 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 2060 1611 0001 0025 0132 0388 0803 1321 1830 2207 2360 2256 0000 0003 0023 0097 0268 0566 0985 1471 1931 2256 0000 0003 0017 0064 0173 0379 0701 1128 1611 Xác su t − Th ng kê 198 Ph m Đ c Thông BẢNG ( tiếp ) Phân phối nhị thức: Giá trị P(X = k) = C nk p k (1 − p )n − k p n 11 k 0,05 0,10 0,15 0,20 0,25 0,30 0000 0000 10 0,50 0005 0018 0052 0126 0269 0000 0000 0002 0007 0021 0054 0000 0000 0002 0005 0,5404 0,2824 0,1422 0,0687 0,0317 0,0138 0,0057 0,0022 0,0008 0,0002 3413 3766 3012 2062 1267 0712 0368 0174 0075 0029 0988 2301 2924 2835 2323 1678 1088 0639 0339 0161 0173 0852 1720 2362 2581 2397 1954 1419 0923 0537 0021 0213 0683 1329 1936 2311 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 0006 0033 0115 0291 0591 1009 1489 1934 0001 0005 0024 0078 0199 0420 0762 1208 0000 0001 0004 0015 0048 0125 0277 0537 0000 0000 0002 0008 0025 0068 0161 0000 0001 0003 0010 0029 0000 0000 0001 0002 10 11 12 13 0,45 0001 11 0,40 0,0000 0,0000 0,0000 0,0002 0,0011 0,0037 0,0102 0,0234 0,0462 0,0806 12 0,35 0,5133 0,2542 0,1209 0,0550 0,0238 0,0097 0,0037 0,0013 0,0004 0,0001 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 0277 0838 1535 2097 2337 2222 1845 1350 0873 0003 0055 0266 0691 1258 1803 2154 2214 1989 1571 0000 0008 0063 0230 0559 1030 1546 1968 2169 2095 0001 0011 0058 0186 0442 0833 1312 1775 2095 0000 0001 0011 0047 0142 0336 0656 1089 1571 0000 0001 0009 0034 0101 0243 0495 0873 0000 0001 0006 0022 0065 0162 0349 0000 0001 0003 0012 0036 0095 0000 0000 0001 0005 0016 0000 0000 0001 10 11 12 13 Ph n 199 CÁC B NG XÁC SU T BẢNG Phân phối Poisson: Giá trị P(X = k) = µ k 0,05 0,10 0,15 0,20 0,25 0,30 µk − µ e k! 0,35 0,40 0,45 0,9512 0,9048 0,8607 0,8187 0,7788 0,7408 0,7047 0,6703 0,6376 0476 ,0905 1291 1637 1947 2222 2466 2681 2869 0012 0045 0097 0164 0243 0333 0432 0536 0646 0000 0002 0005 0011 0020 0033 0050 0072 0097 0000 0000 0001 0001 0003 0004 0007 0011 0000 0000 0000 0000 0001 0001 µ k 0,50 0,55 0,60 0,65 0,70 0,75 0,80 0,85 0,90 0,6065 0,5769 0,5488 0,5220 0,4966 0,4724 0,4493 0,4274 0,4066 3033 3173 3293 3393 3476 3543 3595 3633 3659 0758 0873 0988 1103 1217 1329 1438 1544 1647 0126 0160 0198 0239 0284 0332 0383 0437 0494 0016 0022 0030 0039 0050 0062 0077 0093 0111 0002 0002 0004 0005 0007 0009 0012 0016 0020 0000 0000 0000 0001 0001 0001 0002 0002 0003 1,0 1,5 2,0 2,5 3,0 3,5 4,0 4,5 5,0 µ k 0,3679 0,2231 0,1353 0,0821 0,0498 0,0302 0,0183 0,0111 0,0067 3679 3347 2707 2052 1494 1057 0733 0500 0337 1839 2510 2707 2565 2240 1850 1465 1125 0842 0613 1255 1804 2138 2240 2158 1954 1687 1404 0153 0471 0902 1336 1680 1888 1954 1898 1755 0031 0141 0361 0668 1008 1322 1563 1708 1755 0005 0035 0120 0278 0504 0771 1042 1281 1462 0001 0008 0034 0099 0216 0385 0595 0824 1044 0000 0001 0009 0031 0081 0169 0298 0463 0653 0000 0002 0009 0027 0066 0132 0232 0363 0000 0002 0008 0023 0053 0104 0181 0000 0002 0007 0019 0043 0082 12 0001 0002 0006 0016 0034 13 0000 0001 0002 0006 0013 10 11 Xác su t − Th ng kê 200 Ph m Đ c Thông BẢNG (tiếp) Phân phối Poisson: Giá trị P(X = k) = µ k 5,5 6,0 6,5 7,0 7,5 8,0 µk − µ e k! 8,5 9,0 9,5 0,0041 0,0025 0,0015 0,0009 0,0006 0,0003 0,0002 0,0001 0,0001 0225 0149 0098 0064 0041 0027 0017 0011 0007 0618 0446 0318 0223 0156 0107 0074 0050 0034 1133 0892 0688 0521 0389 0286 0208 0150 0107 1558 1339 1118 0912 0729 0573 0443 0337 0254 1714 1606 1454 1277 1094 0916 0752 0607 0483 1571 1606 1575 1490 1367 1221 1066 0911 0764 1234 1377 1462 1490 1465 1396 1294 1171 1037 0849 1033 1188 1304 1373 1396 1375 1318 1232 0519 0688 0858 1014 1144 1241 1299 1318 1300 10 0285 0413 0558 0710 0858 0993 1104 1186 1235 11 0143 0225 0330 0452 0585 0722 0853 0970 1067 12 0065 0113 0179 0263 0366 0481 0604 0728 0844 13 0028 0052 0089 0142 0211 0296 0395 0504 0617 14 0011 0022 0041 0071 0113 0169 0240 0324 0419 15 0004 0009 0018 0033 0057 0090 0136 0194 0265 16 0001 0003 0007 0014 0026 0045 0072 0109 0157 17 0000 0001 0003 0006 0012 0021 0036 0058 0088 0000 0001 0002 0005 0009 0017 0029 0046 0000 0001 0002 0004 0008 0014 0023 0000 0001 0002 0003 0006 0011 0000 0001 0001 0003 0005 0000 0001 0001 0002 0000 0000 0001 18 19 20 21 22 23 Ph n 201 CÁC B NG XÁC SU T BẢNG (tiếp) Phân phối Poisson: Giá trị P(X = k) = µ k 10 11 12 13 14 15 µk − µ e k! 16 17 18 0,0000 0,0000 0,0000 0,0000 0,0000 0,0000 0,0000 0,0000 0,0000 0005 0002 0001 0000 0000 0000 0000 0000 0000 0023 0010 0004 0002 0001 0000 0000 0000 0000 0076 0037 0018 0008 0004 0002 0001 0000 0000 0189 0102 0053 0027 0013 0006 0003 0001 0001 0378 0224 0127 0070 0037 0019 0010 0005 0002 0631 0411 0255 0152 0087 0048 0026 0014 0007 0901 0646 0437 0281 0174 0104 0060 0034 0019 1126 0888 0655 0457 0304 0194 0120 0072 0042 1251 1085 0874 0661 0473 0324 0213 0135 0083 10 1251 1194 1048 0859 0663 0486 0341 0230 0150 11 1137 1194 1144 1015 0844 0663 0496 0355 0245 12 0948 1094 1144 1099 0984 0829 0661 0504 0368 13 0729 0926 1056 1099 1060 0956 0814 0658 0509 14 0521 0728 0905 1021 1060 1024 0930 0800 0655 15 0347 0534 0724 0885 0989 1024 0992 0906 0786 16 0217 0367 0543 0719 0866 0960 0992 0963 0884 17 0128 0237 0383 0550 0713 0847 0934 0963 0936 18 0071 0145 0255 0397 0554 0706 0830 0909 0936 19 0037 0084 0161 0272 0409 0557 0699 0814 0887 20 0019 0046 0097 0177 0286 0418 0559 0692 0798 21 0009 0024 0055 0109 0191 0299 0426 0560 0684 22 0004 0012 0030 0065 0121 0204 0310 0433 0560 23 0002 0006 0016 0037 0074 0133 0216 0320 0438 24 0001 0003 0008 0020 0043 0083 0144 0226 0328 25 0000 0001 0004 0010 0024 0050 0092 0154 0237 0000 0002 0005 0013 0029 0057 0101 0164 27 0001 0002 0007 0016 0034 0063 0109 28 0000 0001 0003 0009 0019 0038 0070 29 0001 0002 0004 0011 0023 0044 30 0000 0001 0002 0006 0013 0026 0000 0001 0003 0007 0015 26 31 Xác su t − Th ng kê 202 Ph m Đ c Thông BẢNG Giá trị h.m.ñ phân phối N(0,1): ϕ ( x ) = exp (-x / 2) ( ≤ x < ) 2π x 0,0 0,3989 0,3989 0,3989 0,3988 0,3986 0,3984 0,3982 0,3980 0,3977 0,3973 0,1 3970 3965 3961 3956 3951 3945 3939 3932 3925 3918 0,2 3910 3902 3894 3885 3876 3867 3857 3847 3836 3825 0,3 3814 3802 3790 3778 3765 3752 3739 3725 3712 3697 0,4 3683 3668 3653 3637 3621 3605 3589 3572 3555 3538 0,5 3521 3503 3485 3467 3448 3429 3410 3391 3372 3352 0,6 3332 3312 3292 3271 3251 3230 3209 3187 3166 3144 0,7 3123 3101 3079 3056 3034 3011 2989 2966 2943 2920 0,8 2897 2874 2850 2827 2803 2780 2756 2732 2709 2685 0,9 2661 2637 2613 2589 2565 2541 2516 2492 2468 2444 1,0 2420 2396 2371 2347 2323 2299 2275 2251 2227 2203 1,1 2179 2155 2131 2107 2083 2059 2036 2012 1989 1965 1,2 1942 1919 1895 1872 1849 1826 1804 1781 1758 1736 1,3 1714 1691 1669 1647 1626 1604 1582 1561 1539 1518 1,4 1497 1476 1456 1435 1425 1394 1374 1354 1334 1315 1,5 1295 1276 1257 1238 1219 1200 1182 1163 1145 1127 1,6 1109 1092 1074 1057 1040 1023 1006 0989 0973 0957 1,7 0940 0925 0909 0893 0878 0863 0848 0833 0818 0804 1,8 0790 0775 0761 0748 0734 0721 0707 0694 0681 0669 1,9 0656 0644 0632 0620 0608 0596 0584 0573 0562 0551 2,0 0540 0529 0519 0508 0498 0488 0478 0468 0459 0449 2,1 0440 0431 0422 0413 0404 0396 0387 0379 0371 0363 2,2 0355 0347 0339 0332 0325 0317 0310 0303 0297 0290 2,3 0283 0277 0270 0264 0258 0252 0246 0241 0235 0229 2,4 0224 0219 0213 0208 0203 0196 0194 0189 0184 0180 2,5 0175 0171 0167 0163 0158 0154 0151 0147 0143 0139 2,6 0136 0132 0129 0126 0122 0119 0116 0113 0110 0107 2,7 0104 0101 0099 0096 0093 0091 0088 0086 0084 0081 2,8 0079 0077 0075 0073 0071 0069 0067 0065 0063 0061 2,9 0060 0058 0056 0055 0053 0051 0050 0048 0047 0046 3,0 0044 0043 0042 0040 0039 0038 0037 0036 0035 0034 3,1 0033 0032 0031 0030 0029 0028 0027 0026 0025 0025 3,2 0024 0023 0022 0022 0021 0020 0020 0019 0018 0018 3,3 0017 0017 0016 0016 0015 0015 0014 0014 0013 0013 3,4 0012 0012 0012 0011 0011 0010 0010 0010 0009 0009 3,5 0009 0008 0008 0008 0008 0007 0007 0007 0007 0006 3,6 0006 0006 0006 0005 0005 0005 0005 0005 0005 0004 3,7 0004 0004 0004 0004 0004 0004 0003 0003 0003 0003 3,8 0003 0003 0003 0003 0003 0002 0002 0002 0002 0002 3,9 0002 0002 0002 0002 0002 0002 0002 0002 0001 0001 Ph n 203 CÁC B NG XÁC SU T BẢNG x Giá trị h.p.p phân phối N(0,1): Φ ( x ) = 2π ∫ exp( − t / 2) dt ( ≤ x < 4) −∞ x 0,0 0,5000 0,5040 0,5080 0,5120 0,5160 0,5190 0,5239 0,5279 0,5319 0,0359 0,1 5398 5438 5478 5517 5557 5596 5636 5675 5714 0753 0,2 5793 5832 5871 5910 5948 5987 6026 6064 6103 6141 0,3 6179 6217 6255 6293 6331 6368 6406 6443 6480 6517 0,4 6554 6591 6628 6664 6700 6736 6772 6808 6844 6879 0,5 6915 6950 6985 7019 7054 7088 7123 7157 7190 7224 0,6 7257 7291 7324 7357 7389 7422 7454 7486 7517 7549 0,7 7580 7611 7642 7673 7704 7734 7764 7794 7823 7852 0,8 7881 7910 7939 7967 7995 8023 8051 8078 8106 8133 0,9 8159 8186 8212 8238 8264 8289 8315 8340 8365 8389 1,0 8413 8438 8461 8485 8508 8531 8554 8577 8599 8621 1,1 8643 8665 8686 8708 8729 8749 8770 8790 8810 8830 1,2 8849 8869 8888 8907 8925 8944 8962 8980 8997 9015 1,3 9032 9049 9066 9082 9099 9115 9131 9147 9162 9177 1,4 9192 9207 9222 9236 9251 9265 9279 9292 9306 9319 1,5 9332 9345 9357 9370 9382 9394 9406 9418 9429 9441 1,6 9452 9463 9474 9484 9495 9505 9515 9525 9535 9545 1,7 9554 9564 9573 9582 9591 9599 9608 9616 9625 9633 1,8 9641 9649 9656 9664 9671 9678 9686 9693 9699 9706 1,9 9713 9719 9726 9732 9738 9744 9750 9756 9761 9767 2,0 9772 9778 9783 9788 9793 9798 9803 9808 9812 9817 2,1 9821 9826 9830 9834 9838 9842 9846 9850 9854 9857 2,2 9861 9864 9868 9871 9875 9878 9881 9884 9887 9890 2,3 9893 9896 9898 9901 9904 9906 9909 9911 9913 9916 2,4 9918 9920 9922 9925 9927 9929 9931 9932 9934 9936 2,5 9938 9940 9941 9943 9945 9945 9948 9949 9951 9952 2,6 9953 9955 9956 9957 9959 9960 9961 9962 9963 9964 2,7 9965 9966 9967 9968 9969 9970 9971 9972 9973 9974 2,8 9974 9975 9976 9977 9977 9978 9979 9979 9980 9981 2,9 9981 9982 9982 9983 9984 9984 9985 9985 9986 9986 3,0 9987 9987 9987 9988 9988 9989 9989 9989 9990 9990 3,1 9990 9991 9991 9991 9992 9992 9992 9992 9993 9993 3,2 9993 9993 9994 9994 9994 9994 9994 9995 9995 9995 3,3 9995 9995 9995 9996 9996 9996 9996 9996 9996 9997 3,4 9997 9997 9997 9997 9997 9997 9997 9997 9997 9998 3,5 9998 9998 9998 9998 9998 9998 9998 9998 9998 9998 3,6 9998 9998 9999 9999 9999 9999 9999 9999 9999 9999 3,7 9999 9999 9999 9999 9999 9999 9999 9999 9999 9999 3,8 9999 9999 9999 9999 9999 9999 9999 9999 9999 9999 3,9 1,0000 1,0000 1,0000 1,0000 1,0000 1,0000 1,0000 1,0000 1,0000 1,0000 Xác su t − Th ng kê 204 Ph m Đ c Thông BẢNG Phân phối Student: Giá trị bách phân vị t (αn) α 0,800 0,850 0,900 0,950 0,960 1,3764 1,9626 3,0777 6,3137 7,9158 12,7062 15,8945 21,2051 31,8210 63,6559 1,0607 1,3862 1,8856 2,9200 3,3198 4,3027 4,8487 5,6428 6,9645 9,9250 0,9785 1,2498 1,6377 2,3534 2,6054 3,1824 3,4819 3,8961 4,5407 5,8408 0,9410 1,1896 1,5332 2,1318 2,3329 2,7765 2,9985 3,2976 3,7469 4,6041 0,9195 1,1558 1,4759 2,0150 2,1910 2,5706 2,7565 3,0029 3,3649 4,0321 0,9057 1,1342 1,4398 1,9432 2,1043 2,4469 2,6122 2,8289 3,1427 3,7074 0,8960 1,1192 1,4149 1,8946 2,0460 2,3646 2,5168 2,7146 2,9979 3,4995 0,8889 1,1081 1,3968 1,8595 2,0042 2,3060 2,4490 2,6338 2,8965 3,3554 0,8834 1,0997 1,3830 1,8331 1,9727 2,2622 2,3984 2,5738 2,8214 3,2498 10 0,8791 1,0931 1,3722 1,8125 1,9481 2,2281 2,3593 2,5275 2,7638 3,1693 11 0,8755 1,0877 1,3634 1,7959 1,9284 2,2010 2,3281 2,4907 2,7181 3,1058 12 0,8726 1,0832 1,3562 1,7823 1,9123 2,1788 2,3027 2,4607 2,6810 3,0545 13 0,8702 1,0795 1,3502 1,7709 1,8989 2,1604 2,2816 2,4358 2,6503 3,0123 14 0,8681 1,0763 1,3450 1,7613 1,8875 2,1448 2,2638 2,4149 2,6245 2,9768 15 0,8662 1,0735 1,3406 1,7531 1,8777 2,1315 2,2485 2,3970 2,6025 2,9467 16 0,8647 1,0711 1,3368 1,7459 1,8693 2,1199 2,2354 2,3815 2,5835 2,9208 17 0,8633 1,0690 1,3334 1,7396 1,8619 2,1098 2,2238 2,3681 2,5669 2,8982 18 0,8620 1,0672 1,3304 1,7341 1,8553 2,1009 2,2137 2,3562 2,5524 2,8784 19 0,8610 1,0655 1,3277 1,7291 1,8495 2,0930 2,2047 2,3457 2,5395 2,8609 20 0,8600 1,0640 1,3253 1,7247 1,8443 2,0860 2,1967 2,3362 2,5280 2,8453 21 0,8591 1,0627 1,3232 1,7207 1,8397 2,0796 2,1894 2,3278 2,5176 2,8314 22 0,8583 1,0614 1,3212 1,7171 1,8354 2,0739 2,1829 2,3202 2,5083 2,8188 23 0,8575 1,0603 1,3195 1,7139 1,8316 2,0687 2,1770 2,3132 2,4999 2,8073 24 0,8569 1,0593 1,3178 1,7109 1,8281 2,0639 2,1715 2,3069 2,4922 2,7970 25 0,8562 1,0584 1,3163 1,7081 1,8248 2,0595 2,1666 2,3011 2,4851 2,7874 26 0,8557 1,0575 1,3150 1,7056 1,8219 2,0555 2,1620 2,2958 2,4786 2,7787 27 0,8551 1,0567 1,3137 1,7033 1,8191 2,0518 2,1578 2,2909 2,4727 2,7707 28 0,8546 1,0560 1,3125 1,7011 1,8166 2,0484 2,1539 2,2864 2,4671 2,7633 29 0,8542 1,0553 1,3114 1,6991 1,8142 2,0452 2,1503 2,2822 2,4620 2,7564 30 0,8538 1,0547 1,3104 1,6973 1,8120 2,0423 2,1470 2,2783 2,4573 2,7500 31 0,8534 1,0541 1,3095 1,6955 1,8100 2,0395 2,1438 2,2746 2,4528 2,7440 32 0,8530 1,0535 1,3086 1,6939 1,8081 2,0369 2,1409 2,2712 2,4487 2,7385 33 0,8526 1,0530 1,3077 1,6924 1,8063 2,0345 2,1382 2,2680 2,4448 2,7333 34 0,8523 1,0525 1,3070 1,6909 1,8046 2,0322 2,1356 2,2650 2,4411 2,7284 n 0,975 0,980 0,985 0,990 0,995 Ph n 205 CÁC B NG XÁC SU T BẢNG (tiếp) Phân phối Student: Giá trị bách phân vị t (αn) α 0,800 0,850 0,900 0,950 0,960 0,975 0,980 0,985 0,990 0,995 35 0,8520 1,0520 1,3062 1,6896 1,8030 2,0301 2,1332 2,2622 2,4377 2,7238 36 0,8517 1,0516 1,3055 1,6883 1,8015 2,0281 2,1309 2,2595 2,4345 2,7195 37 0,8514 1,0512 1,3049 1,6871 1,8001 2,0262 2,1287 2,2570 2,4314 2,7154 38 0,8512 1,0508 1,3042 1,6860 1,7988 2,0244 2,1267 2,2546 2,4286 2,7116 39 0,8509 1,0504 1,3036 1,6849 1,7975 2,0227 2,1247 2,2524 2,4258 2,7079 40 0,8507 1,0500 1,3031 1,6839 1,7963 2,0211 2,1229 2,2503 2,4233 2,7045 41 0,8505 1,0497 1,3025 1,6829 1,7952 2,0195 2,1212 2,2483 2,4208 2,7012 42 0,8503 1,0494 1,3020 1,6820 1,7941 2,0181 2,1195 2,2463 2,4185 2,6981 43 0,8501 1,0491 1,3016 1,6811 1,7931 2,0167 2,1179 2,2445 2,4163 2,6951 44 0,8499 1,0488 1,3011 1,6802 1,7921 2,0154 2,1164 2,2428 2,4141 2,6923 45 0,8497 1,0485 1,3007 1,6794 1,7911 2,0141 2,1150 2,2411 2,4121 2,6896 46 0,8495 1,0482 1,3002 1,6787 1,7902 2,0129 2,1136 2,2395 2,4102 2,6870 47 0,8493 1,0480 1,2998 1,6779 1,7894 2,0117 2,1123 2,2380 2,4083 2,6846 48 0,8492 1,0478 1,2994 1,6772 1,7885 2,0106 2,1111 2,2365 2,4066 2,6822 49 0,8490 1,0475 1,2991 1,6766 1,7878 2,0096 2,1099 2,2351 2,4049 2,6800 50 0,8489 1,0473 1,2987 1,6759 1,7870 2,0086 2,1087 2,2338 2,4033 2,6778 51 0,8487 1,0471 1,2984 1,6753 1,7863 2,0076 2,1076 2,2325 2,4017 2,6757 52 0,8486 1,0469 1,2980 1,6747 1,7856 2,0066 2,1066 2,2313 2,4002 2,6737 53 0,8485 1,0467 1,2977 1,6741 1,7849 2,0057 2,1055 2,2301 2,3988 2,6718 54 0,8483 1,0465 1,2974 1,6736 1,7843 2,0049 2,1046 2,2289 2,3974 2,6700 55 0,8482 1,0463 1,2971 1,6730 1,7836 2,0040 2,1036 2,2279 2,3961 2,6682 56 0,8481 1,0461 1,2969 1,6725 1,7830 2,0032 2,1027 2,2268 2,3948 2,6665 57 0,8480 1,0459 1,2966 1,6720 1,7825 2,0025 2,1018 2,2258 2,3936 2,6649 58 0,8479 1,0458 1,2963 1,6716 1,7819 2,0017 2,1010 2,2248 2,3924 2,6633 59 0,8478 1,0456 1,2961 1,6711 1,7814 2,0010 2,1002 2,2238 2,3912 2,6618 60 0,8477 1,0455 1,2958 1,6706 1,7808 2,0003 2,0994 2,2229 2,3901 2,6603 61 0,8476 1,0453 1,2956 1,6702 1,7803 1,9996 2,0986 2,2220 2,3890 2,6589 62 0,8475 1,0452 1,2954 1,6698 1,7799 1,9990 2,0979 2,2212 2,3880 2,6575 63 0,8474 1,0450 1,2951 1,6694 1,7794 1,9983 2,0971 2,2203 2,3870 2,6561 64 0,8473 1,0449 1,2949 1,6690 1,7789 1,9977 2,0965 2,2195 2,3860 2,6549 65 0,8472 1,0448 1,2947 1,6686 1,7785 1,9971 2,0958 2,2188 2,3851 2,6536 66 0,8471 1,0446 1,2945 1,6683 1,7781 1,9966 2,0951 2,2180 2,3842 2,6524 67 0,8470 1,0445 1,2943 1,6679 1,7776 1,9960 2,0945 2,2173 2,3833 2,6512 68 0,8469 1,0444 1,2941 1,6676 1,7772 1,9955 2,0939 2,2166 2,3824 2,6501 69 0,8469 1,0443 1,2939 1,6672 1,7769 1,9949 2,0933 2,2159 2,3816 2,6490 70 0,8468 1,0442 1,2938 1,6669 1,7765 1,9944 2,0927 2,2152 2,3808 2,6479 71 0,8467 1,0441 1,2936 1,6666 1,7761 1,9939 2,0922 2,2146 2,3800 2,6469 n Xác su t − Th ng kê 206 Ph m Đ c Thông BẢNG (tiếp) Phân phối Student: Giá trị bách phân vị t (αn) α 0,800 0,850 0,900 0,950 0,960 0,975 0,980 0,985 0,990 0,995 72 0,8466 1,0440 1,2934 1,6663 1,7757 1,9935 2,0916 2,2139 2,3793 2,6458 73 0,8466 1,0438 1,2933 1,6660 1,7754 1,9930 2,0911 2,2133 2,3785 2,6449 74 0,8465 1,0437 1,2931 1,6657 1,7751 1,9925 2,0906 2,2127 2,3778 2,6439 75 0,8464 1,0436 1,2929 1,6654 1,7747 1,9921 2,0901 2,2122 2,3771 2,6430 76 0,8464 1,0436 1,2928 1,6652 1,7744 1,9917 2,0896 2,2116 2,3764 2,6421 77 0,8463 1,0435 1,2926 1,6649 1,7741 1,9913 2,0891 2,2110 2,3758 2,6412 78 0,8463 1,0434 1,2925 1,6646 1,7738 1,9908 2,0887 2,2105 2,3751 2,6403 79 0,8462 1,0433 1,2924 1,6644 1,7735 1,9905 2,0882 2,2100 2,3745 2,6395 80 0,8461 1,0432 1,2922 1,6641 1,7732 1,9901 2,0878 2,2095 2,3739 2,6387 89 0,8457 1,0425 1,2911 1,6622 1.7709 1,9870 2,0843 2,2054 2,3690 2,6322 90 0,8456 1,0424 1,2910 1,6620 1.7707 1,9867 2,0839 2,2050 2,3685 2,6316 91 0,8456 1,0424 1,2909 1,6618 1.7705 1,9864 2,0836 2,2047 2,3680 2,6309 92 0,8455 1,0423 1,2908 1,6616 1.7702 1,9861 2,0833 2,2043 2,3676 2,6303 93 0,8455 1,0422 1,2907 1,6614 1.7700 1,9858 2,0830 2,2039 2,3671 2,6297 94 0,8455 1,0422 1,2906 1,6612 1.7698 1,9855 2,0826 2,2035 2,3667 2,6291 95 0,8454 1,0421 1,2905 1,6611 1.7696 1,9852 2,0823 2,2032 2,3662 2,6286 96 0,8454 1,0421 1,2904 1,6609 1.7694 1,9850 2,0820 2,2028 2,3658 2,6280 97 0,8453 1,0420 1,2903 1,6607 1.7692 1,9847 2,0817 2,2025 2,3654 2,6275 98 0,8453 1,0419 1,2903 1,6606 1.7690 1,9845 2,0814 2,2022 2,3650 2,6269 99 0,8453 1,0419 1,2902 1,6604 1.7688 1,9842 2,0812 2,2018 2,3646 2,6264 100 0,8452 1,0418 1,2901 1,6602 1.7687 1,9840 2,0809 2,2015 2,3642 2,6259 101 0,8452 1,0418 1,2900 1,6601 1.7685 1,9837 2,0806 2,2012 2,3638 2,6254 102 0,8452 1,0417 1,2899 1,6599 1.7683 1,9835 2,0803 2,2009 2,3635 2,6249 103 0,8451 1,0417 1,2898 1,6598 1.7681 1,9833 2,0801 2,2006 2,3631 2,6244 104 0,8451 1,0416 1,2897 1,6596 1.7680 1,9830 2,0798 2,2003 2,3627 2,6239 105 0,8451 1,0416 1,2897 1,6595 1.7678 1,9828 2,0796 2,2000 2,3624 2,6235 106 108 110 0,8450 0,8450 1,0415 1,0414 1,2896 1,2894 1,6594 1,6591 1.7676 1.7673 1,9826 1,9822 2,0793 2,0789 2,1997 2,1991 2,3620 2,3614 2,6230 2,6221 0,8449 1,0413 1,2893 1,6588 1.7670 1,9818 2,0784 2,1986 2,3607 2,6213 115 0,8448 1,0411 1,2890 1,6582 1.7663 1,9808 2,0773 2,1973 2,3592 2,6193 120 0,8446 1,0409 1,2886 1,6576 1.7656 1,9799 2,0763 2,1962 2,3578 2,6174 125 0,8445 1,0408 1,2884 1,6571 1.7650 1,9791 2,0754 2,1951 2,3566 2,6157 130 0,8444 1,0406 1,2881 1,6567 1.7645 1,9784 2,0746 2,1942 2,3554 2,6142 135 0,8443 1,0404 1,2879 1,6562 1.7640 1,9777 2,0738 2,1933 2,3543 2,6127 140 0,8442 1,0403 1,2876 1,6558 1.7635 1,9771 2,0731 2,1924 2,3533 2,6114 143 0,8441 1,0402 1,2875 1,6556 1.7632 1,9767 2,0727 2,1920 2,3527 2,6106 150 0,8440 1,0400 1,2872 1,6551 1.7626 1,9759 2,0718 2,1909 2,3515 2,6090 n Ph n 207 CÁC B NG XÁC SU T BẢNG Phân phối χ2: Giá trị bách phân vị χ α2 ( n) α 0,005 0,995 0,010 0,990 0,025 0,975 0,050 0,950 0,000 0,010 0,072 0,207 7,879 10,597 12,838 14,860 0,000 0,020 0,115 0,297 6,635 9,210 11,345 13,277 0,001 0,051 0,216 0,484 5,024 7,378 9,348 11,143 0,004 0,103 0,352 0,711 3,841 5,991 7,815 9,488 0,412 0,676 0,989 1,344 1,735 16,750 18,548 20,278 21,955 23,589 0,554 0,872 1,239 1,646 2,088 15,086 16,812 18,475 20,090 21,666 0,831 1,237 1,690 2,180 2,700 12,833 14,449 16,013 17,535 19,023 1,145 1,635 2,167 2,733 3,325 11,071 12,592 14,067 15,507 16,919 10 11 12 13 14 2,156 2,603 3,074 3,565 4,075 25,188 26,757 28,299 29,819 31,319 2,558 3,053 3,571 4,107 4,660 23,209 24,725 26,217 27,688 29,141 3,247 3,816 4,404 5,009 5,629 20,483 21,920 23,337 24,736 26,119 3,940 4,575 5,226 5,892 6,571 18,307 19,675 21,026 22,362 23,685 15 16 17 18 19 4,601 5,142 5,697 6,265 6,844 32,801 34,267 35,718 37,156 38,582 5,229 5,812 6,408 7,015 7,633 30,578 32,000 33,409 34,805 36,191 6,262 6,908 7,564 8,231 8,907 27,488 28,845 30,191 31,526 32,852 7,261 7,962 8,672 9,390 10,117 24,996 26,296 27,587 28,869 30,144 20 21 22 23 24 7,343 8,034 8,643 9,260 9,886 39,997 41,401 42,796 44,181 45,559 8,260 8,897 9,542 10,196 10,856 37,566 38,932 40,289 41,638 42,980 9,591 10,283 10,982 11,689 12,401 34,170 35,479 36,781 38,076 39,364 10,851 11,591 12,338 13,091 13,848 31,410 32,671 33,924 35,172 36,415 25 26 27 28 29 10,520 11,160 11,808 12,461 13,121 46,928 48,290 49,645 50,993 52,336 11,524 12,198 12,879 13,565 14,257 44,314 45,642 46,963 48,278 49,588 13,120 13,844 14,573 15,308 16,047 40,646 41,923 43,194 44,461 45,722 14,611 15,379 16,151 16,928 17,708 37,652 38,885 40,113 41,337 42,557 30 40 50 60 13,787 20,707 27,991 35,534 53,672 66,766 79,490 91,952 14,954 22,164 29,707 37,485 50,892 63,691 76,154 88,379 16,791 24,433 32,357 40,482 46,979 59,342 71,420 83,289 18,493 26,509 34,764 43,188 43,773 55,758 67,505 79,082 n Xác su t − Th ng kê 208 Ph m Đ c Thông BẢNG Phân phối N(0,1): Giá trị bách phân vị Uα α uα α uα α uα α uα 0,50 0,51 0,52 0,53 0,54 0,0000 0,0251 0,0502 0,0753 0,1004 0,70 0,71 0,72 0,73 0,74 0,5244 0,5534 0,5828 0,6128 0,6433 0,900 0,905 0,910 0,915 0,920 1,2816 1,3106 1,3408 1,3722 1,4051 0,980 0,981 0,982 0,983 0,984 2,0537 2,0748 2,0969 2,1201 2,1444 0,55 0,56 0,57 0,58 0,59 0,1257 0,1510 0,1764 0,2019 0,2275 0,75 0,76 0,77 0,78 0,79 0,6745 0,7063 0,7388 0,7722 0,8064 0,925 0,930 0,935 0,940 0,945 1,4395 1,4758 1,5141 1,5548 1,5982 0,985 0,986 0,987 0,988 0,989 2,1701 2,1973 2,2262 2,2571 2,2904 0,60 0,61 0,62 0,63 0,64 0,2533 0,2793 0,3055 0,3319 0,3585 0,80 0,81 0,82 0,83 0,84 0,8416 0,8779 0,9154 0,9542 0,9945 0,950 0,955 0,960 0,965 0,970 1,6449 1,6954 1,7507 1,8119 1,8808 0,990 0,991 0,992 0,993 0,994 2,3263 2,3656 2,4089 2,4573 2,5121 0,65 0,66 0,67 0,68 0,69 0,3853 0,4125 0,4399 0,4677 0,4959 0,85 0,86 0,87 0,88 0,89 1,0364 1,0803 1,1264 1,1750 1,2265 0,975 0,976 0,977 0,978 0,979 1,9600 1,9773 1,9953 2,0140 2,0335 0,995 0,996 0,997 0,998 0,999 2,5758 2,6521 2,7478 2,8782 3,0902 TK XS 2008 Ph n 209 CÁC B NG XÁC SU T Bảng giá trị F0,05 (n,m): P(F > F0,05 (n,m)) = 0,05, với F ~ Fisher (n, m) n m 10 11 12 161,45 199,50 215,71 224,58 23 ,16 233,99 236,77 238,88 24 ,54 241,88 242,98 243,90 18,513 19,000 19,164 19,247 19,296 19,329 19,353 19,371 19,385 19,396 19,405 19,412 ,128 9,552 9,277 9,117 9,013 8,941 8,887 8,845 8,812 8,785 8,763 8,745 7,709 6,944 6,591 6,388 6,256 6,163 6,094 6,041 5,999 5,964 5,936 5,912 6,608 5,786 5,409 5,192 5,050 4,950 4,876 4,818 4,772 4,735 4,704 4,678 5,987 5,143 4,757 4,534 4,387 4,284 4,207 4,147 4,099 4,060 4,027 4,000 5,591 4,737 4,347 4,120 3,972 3,866 3,787 3,726 3,677 3,637 3,603 3,575 5,318 4,459 4,066 3,838 3,688 3,581 3,500 3,438 3,388 3,347 3,313 3,284 5,117 4,256 3,863 3,633 3,482 3,374 3,293 3,230 3,179 3,137 3,102 3,073 10 4,965 4,103 3,708 3,478 3,326 3,217 3,135 3,072 3,020 2,978 2,943 2,913 11 4,844 3,982 3,587 3,357 3,204 3,095 3,012 2,948 2,896 2,854 2,818 2,788 12 4,747 3,885 3,490 3,259 3,106 2,996 2,913 2,849 2,796 2,753 2,717 2,687 13 4,667 3,806 3,411 3,179 3,025 2,915 2,832 2,767 2,714 2,671 2,635 2,604 14 4,600 3,739 3,344 3,112 2,958 2,848 2,764 2,699 2,646 2,602 2,565 2,534 15 4,543 3,682 3,287 3,056 2,901 2,790 2,707 2,641 2,588 2,544 2,507 2,475 16 4,494 3,634 3,239 3,007 2,852 2,741 2,657 2,591 2,538 2,494 2,456 2,425 17 4,451 3,592 3,197 2,965 2,810 2,699 2,614 2,548 2,494 2,450 2,413 2,381 18 4,414 3,555 3,160 2,928 2,773 2,661 2,577 2,510 2,456 2,412 2,374 2,342 19 4,381 3,522 3,127 2,895 2,740 2,628 2,544 2,477 2,423 2,378 2,340 2,308 20 4,351 3,493 3,098 2,866 2,711 2,599 2,514 2,447 2,393 2,348 2,310 2,278 21 4,325 3,467 3,072 2,840 2,685 2,573 2,488 2,420 2,366 2,321 2,283 2,250 22 4,301 3,443 3,049 2,817 2,661 2,549 2,464 2,397 2,342 2,297 2,259 2,226 23 4,279 3,422 3,028 2,796 2,640 2,528 2,442 2,375 2,320 2,275 2,236 2,204 24 4,260 3,403 3,009 2,776 2,621 2,508 2,423 2,355 2,300 2,255 2,216 2,183 25 4,242 3,385 2,991 2,759 2,603 2,490 2,405 2,337 2,282 2,236 2,198 2,165 26 4,225 3,369 2,975 2,743 2,587 2,474 2,388 2,321 2,265 2,220 2,181 2,148 27 4,210 3,354 2,960 2,728 2,572 2,459 2,373 2,305 2,250 2,204 2,166 2,132 28 4,196 3,340 2,947 2,714 2,558 2,445 2,359 2,291 2,236 2,190 2,151 2,118 29 4,183 3,328 2,934 2,701 2,545 2,432 2,346 2,278 2,223 2,177 2,138 2,104 30 4,171 3,316 2,922 2,690 2,534 2,421 2,334 2,266 2,211 2,165 2,126 2,092 31 4,160 3,305 2,911 2,679 2,523 2,409 2,323 2,255 2,199 2,153 2,114 2,080 32 4,149 3,295 2,901 2,668 2,512 2,399 2,313 2,244 2,189 2,142 2,103 2,070 33 4,139 3,285 2,892 2,659 2,503 2,389 2,303 2,235 2,179 2,133 2,093 2,060 34 4,130 3,276 2,883 2,650 2,494 2,380 2,294 2,225 2,170 2,123 2,084 2,050 35 4,121 3,267 2,874 2,641 2,485 2,372 2,285 2,217 2,161 2,114 2,075 2,041 36 4,113 3,259 2,866 2,634 2,477 2,364 2,277 2,209 2,153 2,106 2,067 2,033 Xác su t − Th ng kê 210 Ph m Đ c Thông Bảng giá trị F0,01 (n,m): P(F > F0,01 (n,m)) = 0,01, với F ~ Fisher (n,m) n m 10 11 12 4052,2 4999,3 5403,5 5624,3 5764,0 5859,0 5928,3 5981,0 6022,4 6055,9 6083,4 6106,7 98,502 99,000 99,164 99,251 99,302 99,331 99,357 99,375 99,390 99,397 99,408 99,419 34,116 ,816 29,457 28,710 28,237 27,911 27,671 27,489 27,345 27,228 27,132 27,052 21,198 18,000 16,694 15,977 15,522 15,207 14,976 14,799 14,659 14,546 14,452 14,374 16,258 13,274 12,060 11,392 ,967 ,672 ,456 ,289 ,158 ,051 9,963 9,888 13,745 ,925 9,780 9,148 8,746 8,466 8,260 8,102 7,976 7,874 7,790 7,718 12,246 9,547 8,451 7,847 7,460 7,191 6,993 6,840 6,719 6,620 6,538 6,469 11,259 8,649 7,591 7,006 6,632 6,371 6,178 6,029 5,911 5,814 5,734 5,667 ,562 8,022 6,992 6,422 6,057 5,802 5,613 5,467 5,351 5,257 5,178 5,111 10 ,044 7,559 6,552 5,994 5,636 5,386 5,200 5,057 4,942 4,849 4,772 4,706 11 9,646 7,206 6,217 5,668 5,316 5,069 4,886 4,744 4,632 4,539 4,462 4,397 12 9,330 6,927 5,953 5,412 5,064 4,821 4,640 4,499 4,388 4,296 4,220 4,155 13 9,074 6,701 5,739 5,205 4,862 4,620 4,441 4,302 4,191 4,100 4,025 3,960 14 8,862 6,515 5,564 5,035 4,695 4,456 4,278 4,140 4,030 3,939 3,864 3,800 15 8,683 6,359 5,417 4,893 4,556 4,318 4,142 4,004 3,895 3,805 3,730 3,666 16 8,531 6,226 5,292 4,773 4,437 4,202 4,026 3,890 3,780 3,691 3,616 3,553 17 8,400 6,112 5,185 4,669 4,336 4,101 3,927 3,791 3,682 3,593 3,518 3,455 18 8,285 6,013 5,092 4,579 4,248 4,015 3,841 3,705 3,597 3,508 3,434 3,371 19 8,185 5,926 5,010 4,500 4,171 3,939 3,765 3,631 3,523 3,434 3,360 3,297 20 8,096 5,849 4,938 4,431 4,103 3,871 3,699 3,564 3,457 3,368 3,294 3,231 21 8,017 5,780 4,874 4,369 4,042 3,812 3,640 3,506 3,398 3,310 3,236 3,173 22 7,945 5,719 4,817 4,313 3,988 3,758 3,587 3,453 3,346 3,258 3,184 3,121 23 7,881 5,664 4,765 4,264 3,939 3,710 3,539 3,406 3,299 3,211 3,137 3,074 24 7,823 5,614 4,718 4,218 3,895 3,667 3,496 3,363 3,256 3,168 3,094 3,032 25 7,770 5,568 4,675 4,177 3,855 3,627 3,457 3,324 3,217 3,129 3,056 2,993 26 7,721 5,526 4,637 4,140 3,818 3,591 3,421 3,288 3,182 3,094 3,021 2,958 27 7,677 5,488 4,601 4,106 3,785 3,558 3,388 3,256 3,149 3,062 2,988 2,926 28 7,636 5,453 4,568 4,074 3,754 3,528 3,358 3,226 3,120 3,032 2,959 2,896 29 7,598 5,420 4,538 4,045 3,725 3,499 3,330 3,198 3,092 3,005 2,931 2,868 30 7,562 5,390 4,510 4,018 3,699 3,473 3,305 3,173 3,067 2,979 2,906 2,843 31 7,530 5,362 4,484 3,993 3,675 3,449 3,281 3,149 3,043 2,955 2,882 2,820 32 7,499 5,336 4,459 3,969 3,652 3,427 3,258 3,127 3,021 2,934 2,860 2,798 33 7,471 5,312 4,437 3,948 3,630 3,406 3,238 3,106 3,000 2,913 2,840 2,777 34 7,444 5,289 4,416 3,927 3,611 3,386 3,218 3,087 2,981 2,894 2,821 2,758 35 7,419 5,268 4,396 3,908 3,592 3,368 3,200 3,069 2,963 2,876 2,803 2,740 36 7,396 5,248 4,377 3,890 3,574 3,351 3,183 3,052 2,946 2,859 2,786 2,723 [...]...Ph n 4 205 CÁC B NG XÁC SU T BẢNG 5 (tiếp) Phân phối Student: Giá trị bách phân vị t (αn) α 0,800 0,850 0,900 0,950 0,960 0,975 0,980 0,985 0,990 0,995 35 0,8520 1,0520 1,3062 1,6896 1,8030 2,0301 2,1332 2,2622 2,4377 2,7238 36 0,8517 1,0516 1,3055... 2,3816 2,6490 70 0,8468 1,0442 1,2938 1,6669 1,7765 1,9944 2,0927 2,2152 2,3808 2,6479 71 0,8467 1,0441 1,2936 1,6666 1,7761 1,9939 2,0922 2,2146 2,3800 2,6469 n Xác su t − Th ng kê 206 Ph m Đ c Thông BẢNG 5 (tiếp) Phân phối Student: Giá trị bách phân vị t (αn) α 0,800 0,850 0,900 0,950 0,960 0,975 0,980 0,985 0,990 0,995 72 0,8466 1,0440 1,2934 1,6663 1,7757 1,9935 2,0916 2,2139 2,3793 2,6458 73 0,8466... 2,3533 2,6114 143 0,8441 1,0402 1,2875 1,6556 1.7632 1,9767 2,0727 2,1920 2,3527 2,6106 150 0,8440 1,0400 1,2872 1,6551 1.7626 1,9759 2,0718 2,1909 2,3515 2,6090 n Ph n 4 207 CÁC B NG XÁC SU T BẢNG 6 Phân phối χ2: Giá trị bách phân vị χ α2 ( n) α 0,005 0,995 0,010 0,990 0,025 0,975 0,050 0,950 1 2 3 4 0,000 0,010 0,072 0,207 7,879 10,597 12,838 14,860 0,000 0,020 0,115 0,297 6,635 9,210 11,345 13,277 0,001... 22,164 29,707 37,485 50,892 63,691 76,154 88,379 16,791 24,433 32,357 40,482 46,979 59,342 71,420 83,289 18,493 26,509 34,764 43,188 43,773 55,758 67,505 79,082 n Xác su t − Th ng kê 208 Ph m Đ c Thông BẢNG 7 Phân phối N(0,1): Giá trị bách phân vị Uα α uα α uα α uα α uα 0,50 0,51 0,52 0,53 0,54 0,0000 0,0251 0,0502 0,0753 0,1004 0,70 0,71 0,72 0,73 0,74 0,5244 0,5534 0,5828 0,6128 0,6433 0,900 0,905... 1,0364 1,0803 1,1264 1,1750 1,2265 0,975 0,976 0,977 0,978 0,979 1,9600 1,9773 1,9953 2,0140 2,0335 0,995 0,996 0,997 0,998 0,999 2,5758 2,6521 2,7478 2,8782 3,0902 TK XS 2008 Ph n 4 209 CÁC B NG XÁC SU T Bảng giá trị F0,05 (n,m): P(F > F0,05 (n,m)) = 0,05, với F ~ Fisher (n, m) n m 1 2 3 4 5 6 7 8 9 10 11 12 1 161,45 199,50 215,71 224,58 23 ,16 233,99 236,77 238,88 24 ,54 241,88 242,98 243,90 2 18,513... 2,294 2,225 2,170 2,123 2,084 2,050 35 4,121 3,267 2,874 2,641 2,485 2,372 2,285 2,217 2,161 2,114 2,075 2,041 36 4,113 3,259 2,866 2,634 2,477 2,364 2,277 2,209 2,153 2,106 2,067 2,033 Xác su t − Th ng kê 210 Ph m Đ c Thông Bảng giá trị F0,01 (n,m): P(F > F0,01 (n,m)) = 0,01, với F ~ Fisher (n,m) n m 1 2 3 4 5 6 7 8 9 10 11 12 1 4052,2 4999,3 5403,5 5624,3 5764,0 5859,0 5928,3 5981,0 6022,4 6055,9 6083,4