二项分布表

附录2 附表

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 0.0030.005 0.01 0.02

0.03

0.05

0.10

0.15

0.20 0.25 0.30

2 0 0.9980 0.9960 0.99400.9900 0.9801 0.96040.94090.90250.81000.72250.6400 0.5625 0.4900 2 1 1.0000 1.0000 1.00001.0000 0.9999 0.99960.99910.99750.99000.97750.9600 0.9375 0.9100

3 0 0.9970 0.9940 0.99100.9851 0.9703 0.94120.91270.85740.72900.61410.5120 0.4219 0.3430 3 1 1.0000 1.0000 1.00000.9999 0.9997 0.99880.99740.99280.97200.93930.8960 0.8438 0.7840 3 2

1.0000 1.0000 1.00001.00000.99990.99900.99660.9920 0.9844 0.9730

4 0 0.9960 0.9920 0.98810.9801 0.9606 0.92240.88530.81450.65610.52200.4096 0.3164 0.2401 4 1 1.0000 1.0000 0.99990.9999 0.9994 0.99770.99480.98600.94770.89050.8192 0.7383 0.6517 4 2 1.00001.0000 1.0000 1.00000.99990.99950.99630.98800.9728 0.9492 0.9163 4 3

1.00001.00000.99990.99950.9984 0.9961 0.9919

5 0 0.9950 0.9900 0.98510.9752 0.9510 0.90390.85870.77380.59050.44370.3277 0.2373 0.1681 5 1 1.0000 1.0000 0.99990.9998 0.9990 0.99620.99150.97740.91850.83520.7373 0.6328 0.5282 5 2 1.00001.0000 1.0000 0.99990.99970.99880.99140.97340.9421 0.8965 0.8369 5 3 1.00001.00001.00000.99950.99780.9933 0.9844 0.9692 5 4

1.00000.99990.9997 0.9990 0.9976

6 0 0.9940 0.9881 0.98210.9704 0.9415 0.88580.83300.73510.53140.37710.2621 0.1780 0.1176 6 1 1.0000 0.9999 0.99990.9996 0.9985 0.99430.98750.96720.88570.77650.6554 0.5339 0.4202 6 2 1.0000 1.00001.0000 1.0000 0.99980.99950.99780.98420.95270.9011 0.8306 0.7443 6 3 1.00001.00000.99990.99870.99410.9830 0.9624 0.9295 6 4 1.00000.99990.99960.9984 0.9954 0.9891

6 5

1.00001.00000.9999 0.9998 0.9993

7 0 0.9930 0.9861 0.97920.9655 0.9321 0.86810.80800.69830.47830.32060.2097 0.1335 0.0824 7 1 1.0000 0.9999 0.99980.9995 0.9980 0.99210.98290.95560.85030.71660.5767 0.4449 0.3294 7 2 1.0000 1.00001.0000 1.0000 0.99970.99910.99620.97430.92620.8520 0.7564 0.6471 7 3 1.00001.00000.99980.99730.98790.9667 0.9294 0.8740 7 4 1.00000.99980.99880.9953 0.9871 0.9712

7 5 1.00000.99990.9996 0.9987 0.9962

7 6

1.00001.0000 0.9999 0.9998

8 0 0.9920 0.9841 0.97630.9607 0.9227 0.85080.78370.66340.43050.27250.1678 0.1001 0.0576 8 1 1.0000 0.9999 0.99980.9993 0.9973 0.98970.97770.94280.81310.65720.5033 0.3671 0.2553 8 2 1.0000 1.00001.0000 0.9999 0.99960.99870.99420.96190.89480.7969 0.6785 0.5518 8 3

1.0000 1.00000.99990.99960.99500.97860.9437 0.8862 0.8059

- 262 -

8 4 1.00001.00000.99960.99710.9896 0.9727 0.9420 8 5 1.00000.99980.9988 0.9958 0.9887 8 6 1.00000.9999 0.9996 0.9987

8 7 1.0000 1.0000 0.9999

9 0 0.9910 0.9821 0.97330.9559 0.9135 0.83370.76020.63020.38740.23160.1342 0.0751 0.0404 9 1 1.0000 0.9999 0.99970.9991 0.9966 0.98690.97180.92880.77480.59950.4362 0.3003 0.1960 9 2 1.0000 1.00001.0000 0.9999 0.99940.99800.99160.94700.85910.7382 0.6007 0.4628 9 3 1.0000 1.00000.99990.99940.99170.96610.9144 0.8343 0.7297 9 4 1.00001.00000.99910.99440.9804 0.9511 0.9012 9 5 0.99990.99940.9969 0.9900 0.9747 9 6 1.00001.00000.9997 0.9987 0.9957 9 7 1.0000 0.9999 0.9996

9 8 1.0000 1.0000

10 0 0.9900 0.9802 0.97040.9511 0.9044 0.81710.73740.59870.34870.19690.1074 0.0563 0.0282 10 1 1.0000 0.9998 0.99960.9989 0.9957 0.98380.96550.91390.73610.54430.3758 0.2440 0.1493 10 2 1.0000 1.00001.0000 0.9999 0.99910.99720.98850.92980.82020.6778 0.5256 0.3828 10 3 1.0000 1.00000.99990.99900.98720.95000.8791 0.7759 0.6496 10 4 1.00000.99990.99840.99010.9672 0.9219 0.8497 10 5 1.00000.99990.99860.9936 0.9803 0.9527 10 6 1.00000.99990.9991 0.9965 0.9894 10 7 1.00000.9999 0.9996 0.9984 10 8 1.0000 1.0000 0.9999

10 9 1.0000

11 0 0.9891 0.9782 0.96750.9464 0.8953 0.80070.71530.56880.31380.16730.0859 0.0422 0.0198 11 1 0.9999 0.9998 0.99950.9987 0.9948 0.98050.95870.89810.69740.49220.3221 0.1971 0.1130 11 2 1.0000 1.0000 1.00001.0000 0.9998 0.99880.99630.98480.91040.77880.6174 0.4552 0.3127 11 3 1.0000 1.00000.99980.99840.98150.93060.8389 0.7133 0.5696 11 4 1.00000.99990.99720.98410.9496 0.8854 0.7897 11 5 1.00000.99970.99730.9883 0.9657 0.9218 11 6 1.00000.99970.9980 0.9924 0.9784 11 7 1.00000.9998 0.9988 0.9957 11 8 1.0000 0.9999 0.9994

11 9 1.0000 1.0000

12 0 0.9881 0.9763 0.96460.9416 0.8864 0.78470.69380.54040.28240.14220.0687 0.0317 0.0138 12 1 0.9999 0.9997 0.99940.9984 0.9938 0.97690.95140.88160.65900.44350.2749 0.1584 0.0850 12 2 1.0000 1.0000 1.00001.0000 0.9998 0.99850.99520.98040.88910.73580.5583 0.3907 0.2528 12 3 1.0000 0.99990.99970.99780.97440.90780.7946 0.6488 0.4925 12 4 1.00001.00000.99980.99570.97610.9274 0.8424 0.7237 12 5 1.00000.99950.99540.9806 0.9456 0.8822 12 6 0.99990.99930.9961 0.9857 0.9614

- 263 -

12 7 1.00000.99990.9994 0.9972 0.9905 12 8 1.00000.9999 0.9996 0.9983 12 9 1.0000 1.0000 0.9998

12 10 1.0000

13 0 0.9871 0.9743 0.96170.9369 0.8775 0.76900.67300.51330.25420.12090.0550 0.0238 0.0097 13 1 0.9999 0.9997 0.99930.9981 0.9928 0.97300.94360.86460.62130.39830.2336 0.1267 0.0637 13 2 1.0000 1.0000 1.00001.0000 0.9997 0.99800.99380.97550.86610.69200.5017 0.3326 0.2025 13 3 1.0000 0.99990.99950.99690.96580.88200.7473 0.5843 0.4206 13 4 1.00001.00000.99970.99350.96580.9009 0.7940 0.6543 13 5 1.00000.99910.99250.9700 0.9198 0.8346 13 6 0.99990.99870.9930 0.9757 0.9376 13 7 1.00000.99980.9988 0.9944 0.9818 13 8 1.00000.9998 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 0.95880.9322 0.8687 0.75360.65280.48770.22880.10280.0440 0.0178 0.0068 14 1 0.9999 0.9996 0.99920.9978 0.9916 0.96900.93550.84700.58460.35670.1979 0.1010 0.0475 14 2 1.0000 1.0000 1.00001.0000 0.9997 0.99750.99230.96990.84160.64790.4481 0.2811 0.1608 14 3 1.0000 0.99990.99940.99580.95590.85350.6982 0.5213 0.3552 14 4 1.00001.00000.99960.99080.95330.8702 0.7415 0.5842 14 5 1.00000.99850.98850.9561 0.8883 0.7805 14 6 0.99980.99780.9884 0.9617 0.9067 14 7 1.00000.99970.9976 0.9897 0.9685 14 8 1.00000.9996 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 0.95590.9276 0.8601 0.73860.63330.46330.20590.08740.0352 0.0134 0.0047 15 1 0.9999 0.9996 0.99910.9975 0.9904 0.96470.92700.82900.54900.31860.1671 0.0802 0.0353 15 2 1.0000 1.0000 1.00000.9999 0.9996 0.99700.99060.96380.81590.60420.3980 0.2361 0.1268 15 3 1.0000 1.0000 0.99980.99920.99450.94440.82270.6482 0.4613 0.2969 15 4 1.00000.99990.99940.98730.93830.8358 0.6865 0.5155 15 5 1.00000.99990.99780.98320.9389 0.8516 0.7216 15 6 1.00000.99970.99640.9819 0.9434 0.8689 15 7 1.00000.99940.9958 0.9827 0.9500 15 8 0.99990.9992 0.9958 0.9848 15 9 1.00000.9999 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 0.95310.9229 0.8515 0.72380.61430.44010.18530.07430.0281 0.0100 0.0033 16 1 0.9999 0.9995 0.99890.9971 0.9891 0.96010.91820.81080.51470.28390.1407 0.0635 0.0261 16 2 1.0000 1.0000 1.00000.9999 0.9995 0.99630.98870.95710.78920.56140.3518 0.1971 0.0994 16 3 1.0000 1.0000 0.99980.99890.99300.93160.78990.5981 0.4050 0.2459 16 4 1.00000.99990.99910.98300.92090.7982 0.6302 0.4499 16 5 1.00000.99990.99670.97650.9183 0.8103 0.6598 16 6 1.00000.99950.99440.9733 0.9204 0.8247 16 7 0.99990.99890.9930 0.9729 0.9256 16 8 1.00000.99980.9985 0.9925 0.9743 16 9 1.00000.9998 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 0.95020.9183 0.8429 0.70930.59580.41810.16680.06310.0225 0.0075 0.0023 17 1 0.9999 0.9995 0.99880.9968 0.9877 0.95540.90910.79220.48180.25250.1182 0.0501 0.0193 17 2 1.0000 1.0000 1.00000.9999 0.9994 0.99560.98660.94970.76180.51980.3096 0.1637 0.0774 17 3 1.0000 1.0000 0.99970.99860.99120.91740.75560.5489 0.3530 0.2019 17 4 1.00000.99990.99880.97790.90130.7582 0.5739 0.3887 17 5 1.00000.99990.99530.96810.8943 0.7653 0.5968 17 6 1.00000.99920.99170.9623 0.8929 0.7752 17 7 0.99990.99830.9891 0.9598 0.8954 17 8 1.00000.99970.9974 0.9876 0.9597 17 9 1.00000.9995 0.9969 0.9873 17 10 1.00000.9999 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 0.94740.9137 0.8345 0.69510.57800.39720.15010.05360.0180 0.0056 0.0016 18 1 0.9998 0.9994 0.99870.9964 0.9862 0.95050.89970.77350.45030.22410.0991 0.0395 0.0142 18 2 1.0000 1.0000 1.00000.9999 0.9993 0.99480.98430.94190.73380.47970.2713 0.1353 0.0600 18 3 1.0000 1.0000 0.99960.99820.98910.90180.72020.5010 0.3057 0.1646 18 4 1.00000.99980.99850.97180.87940.7164 0.5187 0.3327 18 5 1.00000.99980.99360.95810.8671 0.7175 0.5344 18 6 1.00000.99880.98820.9487 0.8610 0.7217 18 7 0.99980.99730.9837 0.9431 0.8593 18 8 1.00000.99950.9957 0.9807 0.9404 18 9 0.99990.9991 0.9946 0.9790 18 10 1.00000.9998 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 0.94450.9092 0.8262 0.68120.56060.37740.13510.04560.0144 0.0042 0.0011 19 1 0.9998 0.9993 0.99850.9960 0.9847 0.94540.89000.75470.42030.19850.0829 0.0310 0.0104 19 2 1.0000 1.0000 1.00000.9999 0.9991 0.99390.98170.93350.70540.44130.2369 0.1113 0.0462 19 3 1.0000 1.0000 0.99950.99780.98680.88500.68410.4551 0.2631 0.1332 19 4 1.00000.99980.99800.96480.85560.6733 0.4654 0.2822 19 5 1.00000.99980.99140.94630.8369 0.6678 0.4739 19 6 1.00000.99830.98370.9324 0.8251 0.6655 19 7 0.99970.99590.9767 0.9225 0.8180 19 8 1.00000.99920.9933 0.9713 0.9161 19 9 0.99990.9984 0.9911 0.9674 19 10 1.00000.9997 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 0.94170.9046 0.8179 0.66760.54380.35850.12160.03880.0115 0.0032 0.0008 20 1 0.9998 0.9993 0.99840.9955 0.9831 0.94010.88020.73580.39170.17560.0692 0.0243 0.0076 20 2 1.0000 1.0000 1.00000.9999 0.9990 0.99290.97900.92450.67690.40490.2061 0.0913 0.0355 20 3 1.0000 1.0000 0.99940.99730.98410.86700.64770.4114 0.2252 0.1071 20 4 1.00000.99970.99740.95680.82980.6296 0.4148 0.2375 20 5 1.00000.99970.98870.93270.8042 0.6172 0.4164 20 6 1.00000.99760.97810.9133 0.7858 0.6080 20 7 0.99960.99410.9679 0.8982 0.7723 20 8 0.99990.99870.9900 0.9591 0.8867 20 9 1.00000.99980.9974 0.9861 0.9520 20 10 1.00000.9994 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 0.92760.8822 0.7778 0.60350.46700.27740.07180.01720.0038 0.0008 0.0001 25 1 0.9997 0.9988 0.99740.9931 0.9742 0.91140.82800.64240.27120.09310.0274 0.0070 0.0016 25 2 1.0000 1.0000 0.99990.9997 0.9980 0.98680.96200.87290.53710.25370.0982 0.0321 0.0090 25 3 1.00001.0000 0.9999 0.99860.99380.96590.76360.47110.2340 0.0962 0.0332 25 4 1.0000 0.99990.99920.99280.90200.68210.4207 0.2137 0.0905 25 5 1.00000.99990.99880.96660.83850.6167 0.3783 0.1935 25 6 1.00000.99980.99050.93050.7800 0.5611 0.3407 25 7 1.00000.99770.97450.8909 0.7265 0.5118

- 266 -

25 8 0.99950.99200.9532 0.8506 0.6769 25 9 0.99990.99790.9827 0.9287 0.8106 25 10 1.00000.99950.9944 0.9703 0.9022

25 11 0.99990.9985 0.9893 0.9558 25 12 1.00000.9996 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 0.91380.8604 0.7397 0.54550.40100.21460.04240.00760.0012 0.0002 0.0000 30 1 0.9996 0.9983 0.99630.9901 0.9639 0.87950.77310.55350.18370.04800.0105 0.0020 0.0003 30 2 1.0000 1.0000 0.99990.9995 0.9967 0.97830.93990.81220.41140.15140.0442 0.0106 0.0021 30 3 1.00001.0000 0.9998 0.99710.98810.93920.64740.32170.1227 0.0374 0.0093 30 4 1.0000 0.99970.99820.98440.82450.52450.2552 0.0979 0.0302 30 5 1.00000.99980.99670.92680.71060.4275 0.2026 0.0766 30 6 1.00000.99940.97420.84740.6070 0.3481 0.1595

30 7 0.99990.99220.93020.7608 0.5143 0.2814 30 8 1.00000.99800.97220.8713 0.6736 0.4315

30 9 0.99950.99030.9389 0.8034 0.5888 30 10 0.99990.99710.9744 0.8943 0.7304 30 11 1.00000.99920.9905 0.9493 0.8407

30 12 0.99980.9969 0.9784 0.9155 30 13 1.00000.9991 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=0.1λ=0.2 λ=0.3 λ=0.4

λ=0.5

λ=0.6

λ=0.7

0 1.000000 1.000000 1.0000001.000000 1.000000 1.000000 1.000000 1 0.0951630.1812690.2591820.3296800.3934690.451188 0.503415

- 267 -

2 0.0046790.0175230.0369360.0615520.0902040.121901 0.155805

3 0.0001550.0011480.0035990.0079260.0143880.023115 0.034142

4 0.0000040.0000570.0002660.0007760.0017520.003358 0.005753

5 0.0000000.0000020.0000160.0000610.0001720.000394 0.000786

6 0.0000000.0000000.0000010.0000040.0000140.000039 0.000090

7 0.0000000.0000000.0000000.0000000.0000010.000003 0.000009

8 0.0000000.0000000.0000000.0000000.0000000.000000 0.000001

x λ=0.8λ=0.9 λ=1.0 λ=1.2λ=1.4 λ=1.6λ=1.8

0 1.000000 1.000000 1.0000001.000000 1.000000 1.000000 1.000000

1 0.5506710.5934300.6321210.6988060.7534030.798103 0.834701

2 0.1912080.2275180.2642410.3373730.4081670.475069 0.537163

3 0.0474230.0628570.0803010.1205130.1665020.216642 0.269379

4 0.0090800.0134590.0189880.0337690.0537250.078813 0.108708

5 0.0014110.0023440.0036600.0077460.0142530.023682 0.036407

6 0.0001840.0003430.0005940.0015000.0032010.006040 0.010378

7 0.0000210.0000430.0000830.0002510.0006220.001336 0.002569

8 0.0000020.0000050.0000100.0000370.0001070.000260 0.000562

9 0.0000000.0000000.0000010.0000050.0000160.000045 0.000110

10 0.0000000.0000000.0000000.0000010.0000020.000007 0.000019

11 0.0000000.0000000.0000000.0000000.0000000.000001 0.000003

x λ=2.0λ=2.5 λ=3.0 λ=3.5λ=4.0 λ=4.5λ=5.0

0 1.000000 1.000000 1.0000001.000000 1.000000 1.000000 1.000000

1 0.8646650.9179150.9502130.9698030.9816840.988891 0.993262

2 0.5939940.7127030.8008520.8641120.9084220.938901 0.959572

3 0.3233240.4561870.5768100.6791530.7618970.826422 0.875348

4 0.1428770.2424240.3527680.4633670.5665300.657704 0.734974

5 0.0526530.1088220.1847370.2745550.3711630.46789

6 0.559507

6 0.0165640.0420210.0839180.1423860.2148700.297070 0.384039

7 0.0045340.0141870.0335090.0652880.1106740.168949 0.237817

8 0.0010970.0042470.0119050.0267390.0511340.086586 0.133372

9 0.0002370.0011400.0038030.0098740.0213630.040257 0.068094

10 0.0000460.0002770.0011020.0033150.0081320.017093 0.031828

11 0.0000080.0000620.0002920.0010190.0028400.006669 0.013695

12 0.0000010.0000130.0000710.0002890.0009150.002404 0.005453

13 0.0000000.0000020.0000160.0000760.0002740.000805 0.002019

14 0.0000000.0000000.0000030.0000190.0000760.000252 0.000698

15 0.0000000.0000000.0000010.0000040.0000200.000074 0.000226

16 0.0000000.0000000.0000000.0000010.0000050.000020 0.000069

17 0.0000000.0000000.0000000.0000000.0000010.000005 0.000020

18 0.0000000.0000000.0000000.0000000.0000000.000001 0.000005 - 268 -

19 0.0000000.0000000.0000000.0000000.0000000.000000 0.000001

附表3 标准正态分布表

2/2

()d

x t x t ?Φ=∫

二项分布表

x 0 1 2 3 4 5 6 7 8 9 0.0 0.5000 0.50400.5080 0.5120 0.51600.51990.52390.52790.5319 0.5359 0.1 0.5398 0.54380.5478 0.5517 0.55570.55960.56360.56750.5714 0.5753 0.2 0.5793 0.58320.5871 0.5910 0.59480.59870.60260.60640.6103 0.6141 0.3 0.6179 0.62170.6255 0.6293 0.63310.63680.64060.64430.6480 0.6517 0.4 0.6554 0.65910.6628 0.6664 0.67000.67360.67720.68080.6844 0.6879 0.5 0.6915 0.69500.6985 0.7019 0.70540.70880.71230.71570.7190 0.7224 0.6 0.7257 0.72910.7324 0.7357 0.73890.74220.74540.74860.7517 0.7549 0.7 0.7580 0.76110.7642 0.7673 0.77040.77340.77640.77940.7823 0.7852 0.8 0.7881 0.79100.7939 0.7967 0.79950.80230.80510.80780.8106 0.8133 0.9 0.8159 0.81860.8212 0.8238 0.82640.82890.83150.83400.8365 0.8389 1.0 0.8413 0.84380.8461 0.8485 0.85080.85310.85540.85770.8599 0.8621 1.1 0.8643 0.86650.8686 0.8708 0.87290.87490.87700.87900.8810 0.8830 1.2 0.8849 0.88690.8888 0.8907 0.89250.89440.89620.89800.8997 0.9015 1.3 0.9032 0.90490.9066 0.9082 0.90990.91150.91310.91470.9162 0.9177 1.4 0.9192 0.92070.9222 0.9236 0.92510.92650.92790.92920.9306 0.9319 1.5 0.9332 0.93450.9357 0.9370 0.93820.93940.94060.94180.9429 0.9441 1.6 0.9452 0.94630.9474 0.9484 0.94950.95050.95150.95250.9535 0.9545 1.7 0.9554 0.95640.9573 0.9582 0.95910.95990.96080.96160.9625 0.9633 1.8 0.9641 0.96490.9656 0.9664 0.96710.96780.96860.96930.9699 0.9706 1.9 0.9713 0.97190.9726 0.9732 0.97380.97440.97500.97560.9761 0.9767 2.0 0.9772 0.97780.9783 0.9788 0.97930.97980.98030.98080.9812 0.9817 2.1 0.9821 0.98260.9830 0.9834 0.98380.98420.98460.98500.9854 0.9857 2.2 0.9861 0.98640.9868 0.9871 0.98750.98780.98810.98840.9887 0.9890 2.3 0.9893 0.98960.9898 0.9901 0.99040.99060.99090.99110.9913 0.9916 2.4 0.9918 0.99200.9922 0.9925 0.99270.99290.99310.99320.9934 0.9936 2.5 0.9938 0.99400.9941 0.9943 0.99450.99460.99480.99490.9951 0.9952 2.6 0.9953 0.99550.9956 0.9957 0.99590.99600.99610.99620.9963 0.9964 2.7 0.9965 0.99660.9967 0.9968 0.99690.99700.99710.99720.9973 0.9974 2.8 0.9974 0.99750.9976 0.9977 0.99770.99780.99790.99790.9980 0.9981 2.9 0.9981 0.99820.9982 0.9983 0.99840.99840.99850.99850.9986 0.9986 3. 0.9987 0.9990

0.9993 0.9995 0.99970.9998

0.9998

0.9999

0.9999 1.0000

注:表中末行为函数值(3.0),(3.1),,(3.9).ΦΦΦ"

- 269 -

附表4 t分布表

{}

()() P t n t n

αα

>=

n α=0.25 α=0.1 α=0.05 α=0.025α=0.01 α=0.005

1 1.0000 3.0777 6.3138 12.706

2 31.8205 63.6567

2 0.8165 1.8856 2.9200 4.3027 6.9646 9.9248

3 0.7649 1.6377 2.353

4 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 2.570

6 3.3649 4.0321

6 0.7176 1.4398 1.9432 2.4469 3.142

7 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 2.0639 2.4922 2.7969

25 0.6844 1.3163 1.7081 2.0595 2.4851 2.7874

26 0.6840 1.3150 1.7056 2.0555 2.4786 2.7787

27 0.6837 1.3137 1.7033 2.0518 2.4727 2.7707

28 0.6834 1.3125 1.7011 2.0484 2.4671 2.7633

29 0.6830 1.3114 1.6991 2.0452 2.4620 2.7564

30 0.6828 1.3104 1.6973 2.0423 2.4573 2.7500

31 0.6825 1.3095 1.6955 2.0395 2.4528 2.7440

32 0.6822 1.3086 1.6939 2.0369 2.4487 2.7385

33 0.6820 1.3077 1.6924 2.0345 2.4448 2.7333

34 0.6818 1.3070 1.6909 2.0322 2.4411 2.7284

35 0.6816 1.3062 1.6896 2.0301 2.4377 2.7238

36 0.6814 1.3055 1.6883 2.0281 2.4345 2.7195

37 0.6812 1.3049 1.6871 2.0262 2.4314 2.7154

38 0.6810 1.3042 1.6860 2.0244 2.4286 2.7116

39 0.6808 1.3036 1.6849 2.0227 2.4258 2.7079

40 0.6807 1.3031 1.6839 2.0211 2.4233 2.7045

41 0.6805 1.3025 1.6829 2.0195 2.4208 2.7012

42 0.6804 1.3020 1.6820 2.0181 2.4185 2.6981

43 0.6802 1.3016 1.6811 2.0167 2.4163 2.6951

44 0.6801 1.3011 1.6802 2.0154 2.4141 2.6923

45 0.6800 1.3006 1.6794 2.0141 2.4121 2.6896 - 270 -

附表5 分布表

2χ{}22

()()P n n αχχα>=

n α=0.9950.99 0.975 0.95 0.90 0.75 1

0.00000.0002 0.00100.00390.0158 0.1015 2 0.01000.0201 0.05060.10260.2107 0.5754 3 0.07170.1148 0.21580.35180.5844 1.2125 4 0.20700.2971 0.48440.7107 1.0636 1.9226 5 0.41180.5543 0.8312 1.1455 1.6103 2.6746 6 0.67570.8721 1.2373 1.6354 2.2041 3.4546 7 0.9893 1.2390 1.6899 2.1673 2.8331 4.2549 8 1.3444 1.6465 2.1797 2.7326 3.4895 5.0706 9 1.7349 2.0879 2.7004 3.3251 4.1682 5.8988 10 2.1558 2.5582 3.2470 3.9403 4.8652 6.7372 11 2.6032 3.0535 3.8157 4.5748 5.5778 7.5841 12 3.0738 3.5706 4.4038 5.2260 6.3038 8.4384 13 3.5650 4.1069 5.0087 5.89197.0415 9.2991 14 4.0747 4.6604 5.6287 6.57067.7895 10.1653 15 4.6009 5.2294 6.26217.26098.5468 11.0365 16 5.1422 5.8122 6.90777.96169.3122 11.9122 17 5.6973 6.4077 7.56428.671810.0852 12.7919 18 6.26487.0149 8.23079.390410.8649 13.6753 19 6.84397.6327 8.906510.117011.6509 14.5620 20 7.43388.2604 9.590810.850812.4426 15.4518 21 8.03368.8972 10.282911.591313.2396 16.3444 22 8.64279.5425 10.982312.338014.0415 17.2396 23 9.260410.1957 11.688513.090514.8480 18.1373 24 9.886210.8563 12.401113.848415.6587 19.0373 25 10.519611.5240 13.119714.611416.4734 19.9393 26 11.160212.1982 13.843915.379217.2919 20.8434 27 11.807712.8785 14.573416.151418.1139 21.7494 28 12.461313.5647 15.307916.927918.9392 22.6572 29 13.121114.2564 16.047117.708419.7677 23.5666 30 13.786714.9535 16.790818.492720.5992 24.4776 31 14.457715.6555 17.538719.280621.4336 25.3901 32 15.134016.3622 18.290820.071922.2706 26.3041 33 15.815217.0735 19.046720.866523.1102 27.2194 34 16.501317.7891 19.806221.664323.9522 28.1361 35 17.191718.5089 20.569422.465024.7966 29.0540 36 17.886819.2326 21.335923.268625.6433 29.9730 37 18.585919.9603 22.105624.074926.4921 30.8933 38 19.288820.6914 22.878524.883927.3430 31.8146 39 19.995821.4261 23.654325.695428.1958 32.7369 40 20.706622.1642 24.433126.509329.0505 33.6603 41 21.420822.9056 25.214527.325629.9071 34.5846 42 22.138423.6501 25.998728.144030.7654 35.5099 43 22.859624.3976 26.785428.964731.6255 36.4361 44 23.583625.1480 27.574529.787532.4871 37.3631 45

24.3110

25.9012

28.3662

30.6123

33.3504

38.2910

- 271 -

续表

n α=0.25 0.1 0.05 0.025 0.01 0.005

1 1.3233 2.7055 3.8415 5.0239 6.6349 7.8794

2 2.7726 4.6052 5.99157.37789.2104 10.5965

3 4.1083 6.251

4 7.81479.348411.3449 12.8381

4 5.38537.7794 9.487711.143313.2767 14.8602

5 6.62579.2363 11.070512.832515.0863 16.7496

6 7.840810.6446 12.591614.449416.8119 18.5475

7 9.037112.0170 14.067116.012818.4753 20.2777

8 10.218913.3616 15.507317.534520.0902 21.9549

9 11.388714.6837 16.919019.022821.6660 23.5893

10 12.548915.9872 18.307020.483223.2093 25.1881

11 13.700717.2750 19.675221.920024.7250 26.7569

12 14.845418.5493 21.026123.336726.2170 28.2997

13 15.983919.8119 22.362024.735627.6882 29.8193

14 17.116921.0641 23.684826.118929.1412 31.3194

15 18.245122.3071 24.995827.488430.5780 32.8015

16 19.368923.5418 26.296228.845331.9999 34.2671

17 20.488724.7690 27.587130.191033.4087 35.7184

18 21.604925.9894 28.869331.526434.8052 37.1564

19 22.717827.2036 30.143532.852336.1908 38.5821

20 23.827728.4120 31.410434.169637.5663 39.9969

21 24.934829.6151 32.670635.478938.9322 41.4009

22 26.039330.8133 33.924536.780740.2894 42.7957

23 27.141332.0069 35.172538.075641.6383 44.1814

24 28.241233.1962 36.415039.364142.9798 45.5584

25 29.338834.3816 37.652540.646544.3140 46.9280

26 30.434635.5632 38.885141.923145.6416 48.2898

27 31.528436.7412 40.113343.194546.9628 49.6450

28 32.620537.9159 41.337244.460848.2782 50.9936

29 33.710939.0875 42.556945.722349.5878 52.3355

30 34.799740.2560 43.773046.979250.8922 53.6719

31 35.887141.4217 44.985348.231952.1914 55.0025

32 36.973042.5847 46.194249.480453.4857 56.3280

33 38.057543.7452 47.399950.725154.7754 57.6483

34 39.140844.9032 48.602451.966056.0609 58.9637

35 40.222846.0588 49.801853.203357.3420 60.2746

36 41.303647.2122 50.998554.437358.6192 61.5811

37 42.383348.3634 52.192355.668059.8926 62.8832

38 43.461949.5126 53.383556.895561.1620 64.1812

39 44.539550.6598 54.572258.120162.4281 65.4753

40 45.616051.8050 55.758559.341763.6908 66.7660

41 46.691652.9485 56.942460.560664.9500 68.0526

42 47.766254.0902 58.124061.776766.2063 69.3360

43 48.840055.2302 59.303562.990367.4593 70.6157

44 49.912956.3685 60.480964.201468.7096 71.8923

45 50.984957.5053 61.656265.410169.9569 73.1660

- 272 -

附表6 F分布表

α=0.25

二项分布表

- 273 -

α=0.10

二项分布表

- 274 -

α=0.05

二项分布表

- 275 -

α=0.025

二项分布表

- 276 -

α=0.01

二项分布表

- 277 -

α=0.005

二项分布表

- 278 -

α=0.001

二项分布表

- 279 -

附表7 相关系数检验表

{} P r r

αα

>=

n-2 α=0.25 α=0.1 α=0.05 α=0.025α=0.01 α=0.005

1 0.9239 0.9877 0.9969 0.999

2 0.9999 1.0000

2 0.7500 0.9000 0.9500 0.9750 0.9900 0.9950

3 0.6347 0.805

4 0.8783 0.9237 0.9587 0.9740

4 0.5579 0.7293 0.8114 0.8680 0.9172 0.9417

5 0.5029 0.6694 0.7545 0.816

6 0.8745 0.9056

6 0.4612 0.6215 0.706

7 0.7713 0.8343 0.8697

7 0.4284 0.5822 0.6664 0.7318 0.7977 0.8359

8 0.4016 0.5494 0.6319 0.6973 0.7646 0.8046

9 0.3793 0.5214 0.6021 0.6669 0.7348 0.7759

10 0.3603 0.4973 0.5760 0.6400 0.7079 0.7496

11 0.3438 0.4762 0.5529 0.6159 0.6835 0.7255

12 0.3295 0.4575 0.5324 0.5943 0.6614 0.7034

13 0.3168 0.4409 0.5140 0.5748 0.6411 0.6831

14 0.3054 0.4259 0.4973 0.5570 0.6226 0.6643

15 0.29520.4124 0.4821 0.5408 0.6055 0.6470

16 0.2860 0.4000 0.4683 0.5258 0.5897 0.6308

17 0.2775 0.3887 0.4555 0.5121 0.5751 0.6158

18 0.2698 0.3783 0.4438 0.4993 0.5614 0.6018

19 0.2627 0.3687 0.4329 0.4875 0.5487 0.5886

20 0.2561 0.3598 0.4227 0.4764 0.5368 0.5763

21 0.2500 0.3515 0.4132 0.4660 0.5256 0.5647

22 0.2443 0.3438 0.4044 0.4563 0.5151 0.5537

23 0.2390 0.3365 0.3961 0.4472 0.5052 0.5434

24 0.2340 0.3297 0.3882 0.4386 0.4958 0.5336

25 0.2293 0.3233 0.3809 0.4305 0.4869 0.5243

26 0.2248 0.3172 0.3739 0.4228 0.4785 0.5154

27 0.2207 0.3115 0.3673 0.4155 0.4705 0.5070

28 0.2167 0.3061 0.3610 0.4085 0.4629 0.4990

29 0.2130 0.3009 0.3550 0.4019 0.4556 0.4914

30 0.2094 0.2960 0.3494 0.3956 0.4487 0.4840

35 0.1940 0.2746 0.3246 0.3681 0.4182 0.4518

40 0.1815 0.2573 0.3044 0.3456 0.3932 0.4252

45 0.1712 0.2429 0.2876 0.3267 0.3721 0.4028

50 0.1624 0.2306 0.2732 0.3106 0.3542 0.3836

60 0.1483 0.2108 0.2500 0.2845 0.3248 0.3522

70 0.1373 0.1954 0.2319 0.2641 0.3017 0.3274

80 0.1285 0.1829 0.2172 0.2475 0.2830 0.3072

90 0.1211 0.1726 0.2050 0.2336 0.2673 0.2903

100 0.1149 0.1638 0.1946 0.2219 0.2540 0.2759

150 0.0939 0.1339 0.1593 0.1818 0.2083 0.2266

200 0.0813 0.1161 0.1381 0.1577 0.1809 0.1968 - 280 -

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