二项分布表

附录 2 附 附表 1 二项分布表 0 { } (1 ) x k n k n P X x p p k k− = ⎛ ⎞≤ = −⎜ ⎟⎝ ⎠∑ p n x 0.001 0.002 0.003 0.005 0.01 0.02 0.03 0.05 0.10 0.15 0.20 0.25 0.30 2 0 0.9980 0.9960 0.9940 0.9900 0.9801 0.9604 0.9409 0.9025 0.8100 0.7225 0.6400 0.5625 0.4900 2 1 1.0000 1.0000 1.0000 1.0000 0.9999 0.9996 0.9991 0.9975 0.9900 0.9775 0.9600 0.9375 0.9100 3 0 0.9970 0.9940 0.9910 0.9851 0.9703 0.9412 0.9127 0.8574 0.7290 0.6141 0.5120 0.4219 0.3430 3 1 1.0000 1.0000 1.0000 0.9999 0.9997 0.9988 0.9974 0.9928 0.9720 0.9393 0.8960 0.8438 0.7840 3 2 1.0000 1.0000 1.0000 1.0000 0.9999 0.9990 0.9966 0.9920 0.9844 0.9730 4 0 0.9960 0.9920 0.9881 0.9801 0.9606 0.9224 0.8853 0.8145 0.6561 0.5220 0.4096 0.3164 0.2401 4 1 1.0000 1.0000 0.9999 0.9999 0.9994 0.9977 0.9948 0.9860 0.9477 0.8905 0.8192 0.7383 0.6517 4 2 1.0000 1.0000 1.0000 1.0000 0.9999 0.9995 0.9963 0.9880 0.9728 0.9492 0.9163 4 3 1.0000 1.0000 0.9999 0.9995 0.9984 0.9961 0.9919 5 0 0.9950 0.9900 0.9851 0.9752 0.9510 0.9039 0.8587 0.7738 0.5905 0.4437 0.3277 0.2373 0.1681 5 1 1.0000 1.0000 0.9999 0.9998 0.9990 0.9962 0.9915 0.9774 0.9185 0.8352 0.7373 0.6328 0.5282 5 2 1.0000 1.0000 1.0000 0.9999 0.9997 0.9988 0.9914 0.9734 0.9421 0.8965 0.8369 5 3 1.0000 1.0000 1.0000 0.9995 0.9978 0.9933 0.9844 0.9692 5 4 1.0000 0.9999 0.9997 0.9990 0.9976 6 0 0.9940 0.9881 0.9821 0.9704 0.9415 0.8858 0.8330 0.7351 0.5314 0.3771 0.2621 0.1780 0.1176 6 1 1.0000 0.9999 0.9999 0.9996 0.9985 0.9943 0.9875 0.9672 0.8857 0.7765 0.6554 0.5339 0.4202 6 2 1.0000 1.0000 1.0000 1.0000 0.9998 0.9995 0.9978 0.9842 0.9527 0.9011 0.8306 0.7443 6 3 1.0000 1.0000 0.9999 0.9987 0.9941 0.9830 0.9624 0.9295 6 4 1.0000 0.9999 0.9996 0.9984 0.9954 0.9891 6 5 1.0000 1.0000 0.9999 0.9998 0.9993 7 0 0.9930 0.9861 0.9792 0.9655 0.9321 0.8681 0.8080 0.6983 0.4783 0.3206 0.2097 0.1335 0.0824 7 1 1.0000 0.9999 0.9998 0.9995 0.9980 0.9921 0.9829 0.9556 0.8503 0.7166 0.5767 0.4449 0.3294 7 2 1.0000 1.0000 1.0000 1.0000 0.9997 0.9991 0.9962 0.9743 0.9262 0.8520 0.7564 0.6471 7 3 1.0000 1.0000 0.9998 0.9973 0.9879 0.9667 0.9294 0.8740 7 4 1.0000 0.9998 0.9988 0.9953 0.9871 0.9712 7 5 1.0000 0.9999 0.9996 0.9987 0.9962 7 6 1.0000 1.0000 0.9999 0.9998 8 0 0.9920 0.9841 0.9763 0.9607 0.9227 0.8508 0.7837 0.6634 0.4305 0.2725 0.1678 0.1001 0.0576 8 1 1.0000 0.9999 0.9998 0.9993 0.9973 0.9897 0.9777 0.9428 0.8131 0.6572 0.5033 0.3671 0.2553 8 2 1.0000 1.0000 1.0000 0.9999 0.9996 0.9987 0.9942 0.9619 0.8948 0.7969 0.6785 0.5518 8 3 1.0000 1.0000 0.9999 0.9996 0.9950 0.9786 0.9437 0.8862 0.8059 - 262 - 8 4 1.0000 1.0000 0.9996 0.9971 0.9896 0.9727 0.9420 8 5 1.0000 0.9998 0.9988 0.9958 0.9887 8 6 1.0000 0.9999 0.9996 0.9987 8 7 1.0000 1.0000 0.9999 9 0 0.9910 0.9821 0.9733 0.9559 0.9135 0.8337 0.7602 0.6302 0.3874 0.2316 0.1342 0.0751 0.0404 9 1 1.0000 0.9999 0.9997 0.9991 0.9966 0.9869 0.9718 0.9288 0.7748 0.5995 0.4362 0.3003 0.1960 9 2 1.0000 1.0000 1.0000 0.9999 0.9994 0.9980 0.9916 0.9470 0.8591 0.7382 0.6007 0.4628 9 3 1.0000 1.0000 0.9999 0.9994 0.9917 0.9661 0.9144 0.8343 0.7297 9 4 1.0000 1.0000 0.9991 0.9944 0.9804 0.9511 0.9012 9 5 0.9999 0.9994 0.9969 0.9900 0.9747 9 6 1.0000 1.0000 0.9997 0.9987 0.9957 9 7 1.0000 0.9999 0.9996 9 8 1.0000 1.0000 10 0 0.9900 0.9802 0.9704 0.9511 0.9044 0.8171 0.7374 0.5987 0.3487 0.1969 0.1074 0.0563 0.0282 10 1 1.0000 0.9998 0.9996 0.9989 0.9957 0.9838 0.9655 0.9139 0.7361 0.5443 0.3758 0.2440 0.1493 10 2 1.0000 1.0000 1.0000 0.9999 0.9991 0.9972 0.9885 0.9298 0.8202 0.6778 0.5256 0.3828 10 3 1.0000 1.0000 0.9999 0.9990 0.9872 0.9500 0.8791 0.7759 0.6496 10 4 1.0000 0.9999 0.9984 0.9901 0.9672 0.9219 0.8497 10 5 1.0000 0.9999 0.9986 0.9936 0.9803 0.9527 10 6 1.0000 0.9999 0.9991 0.9965 0.9894 10 7 1.0000 0.9999 0.9996 0.9984 10 8 1.0000 1.0000 0.9999 10 9 1.0000 11 0 0.9891 0.9782 0.9675 0.9464 0.8953 0.8007 0.7153 0.5688 0.3138 0.1673 0.0859 0.0422 0.0198 11 1 0.9999 0.9998 0.9995 0.9987 0.9948 0.9805 0.9587 0.8981 0.6974 0.4922 0.3221 0.1971 0.1130 11 2 1.0000 1.0000 1.0000 1.0000 0.9998 0.9988 0.9963 0.9848 0.9104 0.7788 0.6174 0.4552 0.3127 11 3 1.0000 1.0000 0.9998 0.9984 0.9815 0.9306 0.8389 0.7133 0.5696 11 4 1.0000 0.9999 0.9972 0.9841 0.9496 0.8854 0.7897 11 5 1.0000 0.9997 0.9973 0.9883 0.9657 0.9218 11 6 1.0000 0.9997 0.9980 0.9924 0.9784 11 7 1.0000 0.9998 0.9988 0.9957 11 8 1.0000 0.9999 0.9994 11 9 1.0000 1.0000 12 0 0.9881 0.9763 0.9646 0.9416 0.8864 0.7847 0.6938 0.5404 0.2824 0.1422 0.0687 0.0317 0.0138 12 1 0.9999 0.9997 0.9994 0.9984 0.9938 0.9769 0.9514 0.8816 0.6590 0.4435 0.2749 0.1584 0.0850 12 2 1.0000 1.0000 1.0000 1.0000 0.9998 0.9985 0.9952 0.9804 0.8891 0.7358 0.5583 0.3907 0.2528 12 3 1.0000 0.9999 0.9997 0.9978 0.9744 0.9078 0.7946 0.6488 0.4925 12 4 1.0000 1.0000 0.9998 0.9957 0.9761 0.9274 0.8424 0.7237 12 5 1.0000 0.9995 0.9954 0.9806 0.9456 0.8822 12 6 0.9999 0.9993 0.9961 0.9857 0.9614 - 263 - 12 7 1.0000 0.9999 0.9994 0.9972 0.9905 12 8 1.0000 0.9999 0.9996 0.9983 12 9 1.0000 1.0000 0.9998 12 10 1.0000 13 0 0.9871 0.9743 0.9617 0.9369 0.8775 0.7690 0.6730 0.5133 0.2542 0.1209 0.0550 0.0238 0.0097 13 1 0.9999 0.9997 0.9993 0.9981 0.9928 0.9730 0.9436 0.8646 0.6213 0.3983 0.2336 0.1267 0.0637 13 2 1.0000 1.0000 1.0000 1.0000 0.9997 0.9980 0.9938 0.9755 0.8661 0.6920 0.5017 0.3326 0.2025 13 3 1.0000 0.9999 0.9995 0.9969 0.9658 0.8820 0.7473 0.5843 0.4206 13 4 1.0000 1.0000 0.9997 0.9935 0.9658 0.9009 0.7940 0.6543 13 5 1.0000 0.9991 0.9925 0.9700 0.9198 0.8346 13 6 0.9999 0.9987 0.9930 0.9757 0.9376 13 7 1.0000 0.9998 0.9988 0.9944 0.9818 13 8 1.0000 0.9998 0.9990 0.9960 13 9 1.0000 0.9999 0.9993 13 10 1.0000 0.9999 13 11 1.0000 14 0 0.9861 0.9724 0.9588 0.9322 0.8687 0.7536 0.6528 0.4877 0.2288 0.1028 0.0440 0.0178 0.0068 14 1 0.9999 0.9996 0.9992 0.9978 0.9916 0.9690 0.9355 0.8470 0.5846 0.3567 0.1979 0.1010 0.0475 14 2 1.0000 1.0000 1.0000 1.0000 0.9997 0.9975 0.9923 0.9699 0.8416 0.6479 0.4481 0.2811 0.1608 14 3 1.0000 0.9999 0.9994 0.9958 0.9559 0.8535 0.6982 0.5213 0.3552 14 4 1.0000 1.0000 0.9996 0.9908 0.9533 0.8702 0.7415 0.5842 14 5 1.0000 0.9985 0.9885 0.9561 0.8883 0.7805 14 6 0.9998 0.9978 0.9884 0.9617 0.9067 14 7 1.0000 0.9997 0.9976 0.9897 0.9685 14 8 1.0000 0.9996 0.9978 0.9917 14 9 1.0000 0.9997 0.9983 14 10 1.0000 0.9998 14 11 1.0000 15 0 0.9851 0.9704 0.9559 0.9276 0.8601 0.7386 0.6333 0.4633 0.2059 0.0874 0.0352 0.0134 0.0047 15 1 0.9999 0.9996 0.9991 0.9975 0.9904 0.9647 0.9270 0.8290 0.5490 0.3186 0.1671 0.0802 0.0353 15 2 1.0000 1.0000 1.0000 0.9999 0.9996 0.9970 0.9906 0.9638 0.8159 0.6042 0.3980 0.2361 0.1268 15 3 1.0000 1.0000 0.9998 0.9992 0.9945 0.9444 0.8227 0.6482 0.4613 0.2969 15 4 1.0000 0.9999 0.9994 0.9873 0.9383 0.8358 0.6865 0.5155 15 5 1.0000 0.9999 0.9978 0.9832 0.9389 0.8516 0.7216 15 6 1.0000 0.9997 0.9964 0.9819 0.9434 0.8689 15 7 1.0000 0.9994 0.9958 0.9827 0.9500 15 8 0.9999 0.9992 0.9958 0.9848 15 9 1.0000 0.9999 0.9992 0.9963 15 10 1.0000 0.9999 0.9993 15 11 1.0000 0.9999 - 264 - 15 12 1.0000 16 0 0.9841 0.9685 0.9531 0.9229 0.8515 0.7238 0.6143 0.4401 0.1853 0.0743 0.0281 0.0100 0.0033 16 1 0.9999 0.9995 0.9989 0.9971 0.9891 0.9601 0.9182 0.8108 0.5147 0.2839 0.1407 0.0635 0.0261 16 2 1.0000 1.0000 1.0000 0.9999 0.9995 0.9963 0.9887 0.9571 0.7892 0.5614 0.3518 0.1971 0.0994 16 3 1.0000 1.0000 0.9998 0.9989 0.9930 0.9316 0.7899 0.5981 0.4050 0.2459 16 4 1.0000 0.9999 0.9991 0.9830 0.9209 0.7982 0.6302 0.4499 16 5 1.0000 0.9999 0.9967 0.9765 0.9183 0.8103 0.6598 16 6 1.0000 0.9995 0.9944 0.9733 0.9204 0.8247 16 7 0.9999 0.9989 0.9930 0.9729 0.9256 16 8 1.0000 0.9998 0.9985 0.9925 0.9743 16 9 1.0000 0.9998 0.9984 0.9929 16 10 1.0000 0.9997 0.9984 16 11 1.0000 0.9997 16 12 1.0000 17 0 0.9831 0.9665 0.9502 0.9183 0.8429 0.7093 0.5958 0.4181 0.1668 0.0631 0.0225 0.0075 0.0023 17 1 0.9999 0.9995 0.9988 0.9968 0.9877 0.9554 0.9091 0.7922 0.4818 0.2525 0.1182 0.0501 0.0193 17 2 1.0000 1.0000 1.0000 0.9999 0.9994 0.9956 0.9866 0.9497 0.7618 0.5198 0.3096 0.1637 0.0774 17 3 1.0000 1.0000 0.9997 0.9986 0.9912 0.9174 0.7556 0.5489 0.3530 0.2019 17 4 1.0000 0.9999 0.9988 0.9779 0.9013 0.7582 0.5739 0.3887 17 5 1.0000 0.9999 0.9953 0.9681 0.8943 0.7653 0.5968 17 6 1.0000 0.9992 0.9917 0.9623 0.8929 0.7752 17 7 0.9999 0.9983 0.9891 0.9598 0.8954 17 8 1.0000 0.9997 0.9974 0.9876 0.9597 17 9 1.0000 0.9995 0.9969 0.9873 17 10 1.0000 0.9999 0.9994 0.9968 17 11 1.0000 0.9999 0.9993 17 12 1.0000 0.9999 17 13 1.0000 18 0 0.9822 0.9646 0.9474 0.9137 0.8345 0.6951 0.5780 0.3972 0.1501 0.0536 0.0180 0.0056 0.0016 18 1 0.9998 0.9994 0.9987 0.9964 0.9862 0.9505 0.8997 0.7735 0.4503 0.2241 0.0991 0.0395 0.0142 18 2 1.0000 1.0000 1.0000 0.9999 0.9993 0.9948 0.9843 0.9419 0.7338 0.4797 0.2713 0.1353 0.0600 18 3 1.0000 1.0000 0.9996 0.9982 0.9891 0.9018 0.7202 0.5010 0.3057 0.1646 18 4 1.0000 0.9998 0.9985 0.9718 0.8794 0.7164 0.5187 0.3327 18 5 1.0000 0.9998 0.9936 0.9581 0.8671 0.7175 0.5344 18 6 1.0000 0.9988 0.9882 0.9487 0.8610 0.7217 18 7 0.9998 0.9973 0.9837 0.9431 0.8593 18 8 1.0000 0.9995 0.9957 0.9807 0.9404 18 9 0.9999 0.9991 0.9946 0.9790 18 10 1.0000 0.9998 0.9988 0.9939 18 11 1.0000 0.9998 0.9986 - 265 - 18 12 1.0000 0.9997 18 13 1.0000 19 0 0.9812 0.9627 0.9445 0.9092 0.8262 0.6812 0.5606 0.3774 0.1351 0.0456 0.0144 0.0042 0.0011 19 1 0.9998 0.9993 0.9985 0.9960 0.9847 0.9454 0.8900 0.7547 0.4203 0.1985 0.0829 0.0310 0.0104 19 2 1.0000 1.0000 1.0000 0.9999 0.9991 0.9939 0.9817 0.9335 0.7054 0.4413 0.2369 0.1113 0.0462 19 3 1.0000 1.0000 0.9995 0.9978 0.9868 0.8850 0.6841 0.4551 0.2631 0.1332 19 4 1.0000 0.9998 0.9980 0.9648 0.8556 0.6733 0.4654 0.2822 19 5 1.0000 0.9998 0.9914 0.9463 0.8369 0.6678 0.4739 19 6 1.0000 0.9983 0.9837 0.9324 0.8251 0.6655 19 7 0.9997 0.9959 0.9767 0.9225 0.8180 19 8 1.0000 0.9992 0.9933 0.9713 0.9161 19 9 0.9999 0.9984 0.9911 0.9674 19 10 1.0000 0.9997 0.9977 0.9895 19 11 1.0000 0.9995 0.9972 19 12 0.9999 0.9994 19 13 1.0000 0.9999 19 14 1.0000 20 0 0.9802 0.9608 0.9417 0.9046 0.8179 0.6676 0.5438 0.3585 0.1216 0.0388 0.0115 0.0032 0.0008 20 1 0.9998 0.9993 0.9984 0.9955 0.9831 0.9401 0.8802 0.7358 0.3917 0.1756 0.0692 0.0243 0.0076 20 2 1.0000 1.0000 1.0000 0.9999 0.9990 0.9929 0.9790 0.9245 0.6769 0.4049 0.2061 0.0913 0.0355 20 3 1.0000 1.0000 0.9994 0.9973 0.9841 0.8670 0.6477 0.4114 0.2252 0.1071 20 4 1.0000 0.9997 0.9974 0.9568 0.8298 0.6296 0.4148 0.2375 20 5 1.0000 0.9997 0.9887 0.9327 0.8042 0.6172 0.4164 20 6 1.0000 0.9976 0.9781 0.9133 0.7858 0.6080 20 7 0.9996 0.9941 0.9679 0.8982 0.7723 20 8 0.9999 0.9987 0.9900 0.9591 0.8867 20 9 1.0000 0.9998 0.9974 0.9861 0.9520 20 10 1.0000 0.9994 0.9961 0.9829 20 11 0.9999 0.9991 0.9949 20 12 1.0000 0.9998 0.9987 20 13 1.0000 0.9997 20 14 1.0000 25 0 0.9753 0.9512 0.9276 0.8822 0.7778 0.6035 0.4670 0.2774 0.0718 0.0172 0.0038 0.0008 0.0001 25 1 0.9997 0.9988 0.9974 0.9931 0.9742 0.9114 0.8280 0.6424 0.2712 0.0931 0.0274 0.0070 0.0016 25 2 1.0000 1.0000 0.9999 0.9997 0.9980 0.9868 0.9620 0.8729 0.5371 0.2537 0.0982 0.0321 0.0090 25 3 1.0000 1.0000 0.9999 0.9986 0.9938 0.9659 0.7636 0.4711 0.2340 0.0962 0.0332 25 4 1.0000 0.9999 0.9992 0.9928 0.9020 0.6821 0.4207 0.2137 0.0905 25 5 1.0000 0.9999 0.9988 0.9666 0.8385 0.6167 0.3783 0.1935 25 6 1.0000 0.9998 0.9905 0.9305 0.7800 0.5611 0.3407 25 7 1.0000 0.9977 0.9745 0.8909 0.7265 0.5118 - 266 - 25 8 0.9995 0.9920 0.9532 0.8506 0.6769 25 9 0.9999 0.9979 0.9827 0.9287 0.8106 25 10 1.0000 0.9995 0.9944 0.9703 0.9022 25 11 0.9999 0.9985 0.9893 0.9558 25 12 1.0000 0.9996 0.9966 0.9825 25 13 0.9999 0.9991 0.9940 25 14 1.0000 0.9998 0.9982 25 15 1.0000 0.9995 25 16 0.9999 25 17 1.0000 30 0 0.9704 0.9417 0.9138 0.8604 0.7397 0.5455 0.4010 0.2146 0.0424 0.0076 0.0012 0.0002 0.0000 30 1 0.9996 0.9983 0.9963 0.9901 0.9639 0.8795 0.7731 0.5535 0.1837 0.0480 0.0105 0.0020 0.0003 30 2 1.0000 1.0000 0.9999 0.9995 0.9967 0.9783 0.9399 0.8122 0.4114 0.1514 0.0442 0.0106 0.0021 30 3 1.0000 1.0000 0.9998 0.9971 0.9881 0.9392 0.6474 0.3217 0.1227 0.0374 0.0093 30 4 1.0000 0.9997 0.9982 0.9844 0.8245 0.5245 0.2552 0.0979 0.0302 30 5 1.0000 0.9998 0.9967 0.9268 0.7106 0.4275 0.2026 0.0766 30 6 1.0000 0.9994 0.9742 0.8474 0.6070 0.3481 0.1595 30 7 0.9999 0.9922 0.9302 0.7608 0.5143 0.2814 30 8 1.0000 0.9980 0.9722 0.8713 0.6736 0.4315 30 9 0.9995 0.9903 0.9389 0.8034 0.5888 30 10 0.9999 0.9971 0.9744 0.8943 0.7304 30 11 1.0000 0.9992 0.9905 0.9493 0.8407 30 12 0.9998 0.9969 0.9784 0.9155 30 13 1.0000 0.9991 0.9918 0.9599 30 14 0.9998 0.9973 0.9831 30 15 0.9999 0.9992 0.9936 30 16 1.0000 0.9998 0.9979 30 17 0.9999 0.9994 30 18 1.0000 0.9998 30 19 1.0000 附表 2 泊松分布表 1 ( 1) e ! k k x F x k λλ∞ − = − − =∑ x λ=0.1 λ=0.2 λ=0.3 λ=0.4 λ=0.5 λ=0.6 λ=0.7 0 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1 0.095163 0.181269 0.259182 0.329680 0.393469 0.451188 0.503415 - 267 - 2 0.004679 0.017523 0.036936 0.061552 0.090204 0.121901 0.155805 3 0.000155 0.001148 0.003599 0.007926 0.014388 0.023115 0.034142 4 0.000004 0.000057 0.000266 0.000776 0.001752 0.003358 0.005753 5 0.000000 0.000002 0.000016 0.000061 0.000172 0.000394 0.000786 6 0.000000 0.000000 0.000001 0.000004 0.000014 0.000039 0.000090 7 0.000000 0.000000 0.000000 0.000000 0.000001 0.000003 0.000009 8 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000001 x λ=0.8 λ=0.9 λ=1.0 λ=1.2 λ=1.4 λ=1.6 λ=1.8 0 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1 0.550671 0.593430 0.632121 0.698806 0.753403 0.798103 0.834701 2 0.191208 0.227518 0.264241 0.337373 0.408167 0.475069 0.537163 3 0.047423 0.062857 0.080301 0.120513 0.166502 0.216642 0.269379 4 0.009080 0.013459 0.018988 0.033769 0.053725 0.078813 0.108708 5 0.001411 0.002344 0.003660 0.007746 0.014253 0.023682 0.036407 6 0.000184 0.000343 0.000594 0.001500 0.003201 0.006040 0.010378 7 0.000021 0.000043 0.000083 0.000251 0.000622 0.001336 0.002569 8 0.000002 0.000005 0.000010 0.000037 0.000107 0.000260 0.000562 9 0.000000 0.000000 0.000001 0.000005 0.000016 0.000045 0.000110 10 0.000000 0.000000 0.000000 0.000001 0.000002 0.000007 0.000019 11 0.000000 0.000000 0.000000 0.000000 0.000000 0.000001 0.000003 x λ=2.0 λ=2.5 λ=3.0 λ=3.5 λ=4.0 λ=4.5 λ=5.0 0 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1 0.864665 0.917915 0.950213 0.969803 0.981684 0.988891 0.993262 2 0.593994 0.712703 0.800852 0.864112 0.908422 0.938901 0.959572 3 0.323324 0.456187 0.576810 0.679153 0.761897 0.826422 0.875348 4 0.142877 0.242424 0.352768 0.463367 0.566530 0.657704 0.734974 5 0.052653 0.108822 0.184737 0.274555 0.371163 0.467896 0.559507 6 0.016564 0.042021 0.083918 0.142386 0.214870 0.297070 0.384039 7 0.004534 0.014187 0.033509 0.065288 0.110674 0.168949 0.237817 8 0.001097 0.004247 0.011905 0.026739 0.051134 0.086586 0.133372 9 0.000237 0.001140 0.003803 0.009874 0.021363 0.040257 0.068094 10 0.000046 0.000277 0.001102 0.003315 0.008132 0.017093 0.031828 11 0.000008 0.000062 0.000292 0.001019 0.002840 0.006669 0.013695 12 0.000001 0.000013 0.000071 0.000289 0.000915 0.002404 0.005453 13 0.000000 0.000002 0.000016 0.000076 0.000274 0.000805 0.002019 14 0.000000 0.000000 0.000003 0.000019 0.000076 0.000252 0.000698 15 0.000000 0.000000 0.000001 0.000004 0.000020 0.000074 0.000226 16 0.000000 0.000000 0.000000 0.000001 0.000005 0.000020 0.000069 17 0.000000 0.000000 0.000000 0.000000 0.000001 0.000005 0.000020 18 0.000000 0.000000 0.000000 0.000000 0.000000 0.000001 0.000005 - 268 - 19 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000001 附表 3 正态分布表 2 / 21( ) e d 2 x tx tπ − −∞Φ = ∫ x 0 1 2 3 4 5 6 7 8 9 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. 0.9987 0.9990 0.9993 0.9995 0.9997 0.9998 0.9998 0.9999 0.9999 1.0000 注：表中末行为函数值 (3.0), (3.1), , (3.9).Φ Φ Φ" - 269 - 附表 4 t 分布表 { }( ) ( )P t n t nα α> = n α=0.25 α=0.1 α=0.05 α=0.025 α=0.01 α=0.005 1 1.0000 3.0777 6.3138 12.7062 31.8205 63.6567 2 0.8165 1.8856 2.9200 4.3027 6.9646 9.9248 3 0.7649 1.6377 2.3534 3.1824 4.5407 5.8409 4 0.7407 1.5332 2.1318 2.7764 3.7469 4.6041 5 0.7267 1.4759 2.0150 2.5706 3.3649 4.0321 6 0.7176 1.4398 1.9432 2.4469 3.1427 3.7074 7 0.7111 1.4149 1.8946 2.3646 2.9980 3.4995 8 0.7064 1.3968 1.8595 2.3060 2.8965 3.3554 9 0.7027 1.3830 1.8331 2.2622 2.8214 3.2498 10 0.6998 1.3722 1.8125 2.2281 2.7638 3.1693 11 0.6974 1.3634 1.7959 2.2010 2.7181 3.1058 12 0.6955 1.3562 1.7823 2.1788 2.6810 3.0545 13 0.6938 1.3502 1.7709 2.1604 2.6503 3.0123 14 0.6924 1.3450 1.7613 2.1448 2.6245 2.9768 15 0.6912 1.3406 1.7531 2.1314 2.6025 2.9467 16 0.6901 1.3368 1.7459 2.1199 2.5835 2.9208 17 0.6892 1.3334 1.7396 2.1098 2.5669 2.8982 18 0.6884 1.3304 1.7341 2.1009 2.5524 2.8784 19 0.6876 1.3277 1.7291 2.0930 2.5395 2.8609 20 0.6870 1.3253 1.7247 2.0860 2.5280 2.8453 21 0.6864 1.3232 1.7207 2.0796 2.5176 2.8314 22 0.6858 1.3212 1.7171 2.0739 2.5083 2.8188 23 0.6853 1.3195 1.7139 2.0687 2.4999 2.8073 24 0.6848 1.3178 1.7109 2