概率論與數(shù)理統(tǒng)計(jì)常用數(shù)值表

1、 表4 分布表 341附錄： 常用數(shù)理統(tǒng)計(jì)表表1 標(biāo)準(zhǔn)正態(tài)分布函數(shù)數(shù)值表0.000.010.020.030.040.050.060.070.080.090.00.10.20.30.40.50000.53980.57930.61790.65540.50400.54380.58320.62170.65910.50800.54780.58710.62550.66280.51200.55170.59100.62930.66640.51600.55570.59480.63310.67000.51990.55960.59870.63680.67360.52390.56360.60260.64060.677

2、20.52790.56750.60640.64430.68080.53190.57140.61030.64800.68440.53590.57530.61410.65170.68790.50.60.70.80.90.69150.72570.75800.78810.81590.69500.72910.76110.79100.81860.69850.73240.76420.79390.82120.70190.73570.76730.79670.82380.70540.73890.77030.79950.82640.70880.74220.77340.80230.82890.71230.74540.

3、77640.80510.83150.71570.74850.77940.80780.83400.71900.75170.78230.81060.83650.72240.75490.78520.81330.83891.01.11.21.31.40.84130.86430.88490.90320.91920.84380.86650.88690.90490.92070.84610.86860.88880.90660.92220.84850.87080.89070.90820.92360.85080.87290.89250.90990.92510.85310.87490.89440.91150.926

4、50.85540.87700.89620.91310.92780.85770.87900.89800.91470.92920.85990.88100.89970.91620.93060.86210.88300.90150.91770.93191.51.61.71.81.90.99320.94520.95540.96410.97120.93450.94650.95640.96480.97190.93570.94740.95730.96560.97260.93700.94840.95820.96640.97320.93820.94950.95910.96710.97380.93940.95050.

5、95990.96780.97440.94060.95150.96080.96860.97500.94180.95250.96160.96930.97560.94300.95350.96250.97000.97620.94410.95450.96330.97060.97672.02.12.22.32.40.97720.98210.98610.98930.99180.97780.98260.98640.98960.99200.97830.98300.98680.98980.99220.97880.98340.98710.99010.99250.97930.98380.98740.99040.992

6、70.97980.98420.98780.99060.99290.98030.98640.98810.99090.99310.98080.98500.98840.99110.99320.98120.98540.98870.99130.99340.98170.98570.98900.99160.99362.52.62.72.82.90.99380.99530.99650.99740.99810.99400.99550.99660.99750.99820.99410.99560.99670.99760.99820.99430.99570.99680.99770.99830.99450.99590.

7、99690.99770.99840.99460.99600.99700.99780.99840.99480.99610.99710.99790.99850.99400.99620.99720.99790.99850.99510.99630.99730.99800.99860.99520.99640.99740.99810.99863.03.13.23.33.43.60.99870.99900.99930.99950.99970.99980.99870.99910.99930.99950.99970.99980.99870.99910.99940.99950.99970.99990.99880.

8、99910.99940.99960.99970.99990.99880.99920.99940.99960.99970.99990.99890.99920.99940.99960.99970.99990.99890.99920.99940.99960.99970.99990.99890.99920.99950.99960.99970.99990.99900.99930.99950.99960.99970.99990.99900.99930.99950.99970.99980.9999表2 對(duì)應(yīng)于概率及自由度的的數(shù)值表 概率值0.9950.990.9750.950.900.750.500.250

9、.100.050.0250.010.005123450.0440.0100.0720.2070.4120.0320.0200.1150.2970.5540.0010.0510.2160.4840.8310.0040.1030.3520.7111.150.0160.2110.5841.061.610.1020.5751.211.922.670.4551.392.373.364.351.322.774.115.396.632.714.616.257.789.243.845.997.829.4911.15.027.389.3511.112.86.649.2111.313.315.17.8810.61

10、2.814.916.76789100.6760.9891.341.732.160.8721.241.652.092.561.241.692.182.703.251.642.172.733.333.942.202.833.494.174.873.454.255.075.906.745.356.357.348.349.347.849.0410.211.412.510.612.013.414.716.012.614.115.516.918.314.416.017.519.020.516.818.520.121.723.218.520.322.023.625.211121314152.603.073.

11、574.074.603.053.574.114.665.233.824.405.015.636.264.575.235.896.577.265.586.307.047.798.557.588.449.3010.211.010.311.312.313.314.313.714.816.017.118.217.318.519.821.122.319.721.022.423.725.021.923.324.726.127.524.726.227.729.130.626.828.329.831.332.8161718195.145.706.266.845.816.417.027.636.917.568.

12、238.917.968.679.3910.19.3110.110.911.711.912.813.714.615.316.317.318.319.420.521.622.723.524.826.027.226.327.628.930.128.830.231.532.932.033.434.836.234.335.737.238.6207.438.269.5910.912.415.519.323.828.431.434.237.640.021222324258.038.649.269.8910.58.909.5410.210.911.510.311.011.712.413.111.612.313

13、.113.814.613.214.014.815.716.516.317.218.119.019.920.321.322.323.324.324.926.027.128.229.329.630.832.033.234.432.733.935.236.437.735.536.838.139.440.638.940.341.643.044.341.442.844.245.646.9262728293011.211.812.513.113.812.212.913.614.315.013.814.615.316.016.815.416.216.917.718.517.318.118.919.820.6

14、20.821.722.723.624.525.326.327.328.329.330.431.532.633.734.835.636.737.939.140.338.940.141.342.643.841.943.244.545.747.045.647.048.349.650.948.349.651.052.353.740506020.728.033.522.229.737.524.432.440.526.534.843.229.137.746.533.742.952.339.349.359.345.656.367.051.863.274.455.867.579.159.371.483.363

15、.776.288.466.879.592.0表3 對(duì)應(yīng)于概率及自由度的的數(shù)值表0.450.400.350.300.250.200.150.100.050.0250.010.005123450.1581421371341320.3252892772712670.5104454244144080.7276175845695591.0000.8167657417271.3761.0610.9789419201.9631.3861.2501.9101.1563.081.8861.6381.5331.4766.312.922.352.132.0212.714.303.182.782.5731.86.96

16、4.543.753.3663.79.925.844.604.036789101311301301291292652632622612604044023993983975535495465435427187117067037009068968898838791.1341.1191.1081.1001.0931.4401.4151.3971.3831.3721.9431.8951.8601.8331.8122.452.362.312.262.233.143.002.902.822.763.713.503.363.253.171112131415129128128128128260259259258

17、2583963953943933935405395385375366976956946926918768738708688661.0881.0831.0791.0761.0741.3631.3561.3501.3451.3411.7961.7821.7711.7611.7532.202.182.162.142.132.722.682.652.622.603.113.063.012.982.95161718191281281271272582572572573923923923915355345345336906896886888658638628611.0711.0691.0671.0661.

18、3371.3331.3301.3281.7461.7701.7341.7292.122.112.102.092.582.572.552.542.922.902.882.8620212223241271271271271272572572562562563913913903903905335325325325316876866866856858608598588588571.0641.0631.0611.0601.0591.3251.3231.3211.3191.3181.7251.7211.7171.7141.7112.092.082.072.072.062.532.522.512.502.4

19、92.852.832.822.812.8025262728291271271271271272562562562562563903903893893895315315315305306846846846836838568568558558541.0581.0581.0571.0561.0551.3161.3151.3141.3131.3111.7081.7061.7031.7011.6992.062.062.052.052.042.482.482.472.472.462.792.782.772.762.763040601201271261261260.1262562552542540.2533

20、893883873860.3855305295275260.5246836816796770.6748548518488450.8420.0550.0500.0461.0411.0361.3101.3031.2961.2891.2821.6971.6841.6711.6581.6452.042.022.001.9801.9602.462.422.392.362.332.752.702.662.622.58 表4 分布表 359表4 對(duì)應(yīng)于概率及自由度的的數(shù)值表 123456789101215202430406012012345161.418.5110.137.716.61199.519.009

21、.556.945.79215.719.169.286.595.41224.619.259.126.395.19230.219.309.016.265.05234.019.338.946.164.95236.819.358.896.094.88238.919.378.856.044.82240.519.388.816.004.77241.919.408.795.964.74243.919.418.745.914.68245.919.438.705.864.62248.019.458.665.804.56249.119.458.645.774.53250.119.468.625.754.50251

22、.119.478.595.724.46252.219.488.575.694.43253.319.498.555.664.40254.319.508.535.634.366789105.995.595.325.124.965.144.744.464.264.104.764.354.073.863.714.534.123.843.633.484.393.973.693.483.334.283.873.583.373.224.213.793.503.293.144.153.733.443.233.074.103.683.393.183.024.063.643.353.142.984.003.573

23、.283.072.913.943.513.223.012.853.873.443.152.942.773.843.413.122.9032.743.813.383.082.862.703.773.343.042.832.663.743.303.012.792.623.703.272.972.752.583.673.232.932.712.5411121314154.844.754.674.604.543.983.893.813.743.683.593.493.413.343.293.363.263.183.113.063.203.113.032.962.903.093.002.922.852.

24、793.012.912.832.762.712.952.852.772.702.642.902.802.712.652.592.852.752.672.62.542.792.692.602.532.482.722.622.532.462.402.652.542.462.392.332.612.512.422.352.292.572.472.382.312.252.532.432.342.272.202.492.382.302.222.162.452.342.252.182.112.402.302.212.132.071617184.494.454.413.633.593.553.243.203

25、.163.012.962.932.852.812.772.742.702.662.662.612.582.592.552.512.542.492.462.492.452.412.422.382.342.352.312.272.282.232.192.242.192.152.192.152.112.152.102.062.112.062.022.062.011.972.011.961.9219202122234.384.354.324.304.283.523.493.473.443.423.133.103.073.053.032.902.872.842.822.802.742.712.682.6

26、62.642.632.602.572.552.532.542.512.492.462.442.482.452.422.402.372.422.392.372.342.322.382.352.322.302.272.312.282.252.232.202.232.202.182.152.132.162.122.102.072.052.112.082.052.032.012.072.042.011.981.962.031.991.961.941.911.981.951.921.891.861.931.901.871.841.811.881.841.811.781.7624252627284.264

27、.244.234.214.203.403.393.373.353.343.012.992.982.962.952.782.762.742.732.712.622.602.592.572.562.512.492.472.462.452.422.402.392.372.362.362.342.322.312.292.302.282.272.252.242.252.242.222.202.192.182.162.152.132.122.112.092.072.062.042.032.011.991.971.961.981.961.951.931.911.941.921.901.881.871.891

28、.871.851.841.821.841.821.801.791.771.791.771.751.731.711.731.711.691.671.65293040601204.184.174.084.003.923.843.333.323.233.153.073.002.932.922.842.762.682.602.702.692.612.532.452.372.552.532.452.372.292.212.432.422.342.252.172.102.352.332.252.172.092.012.282.272.182.102.021.942.222.212.122.041.961.

29、882.182.162.081.991.911.832.102.092.001.921.831.752.032.011.921.841.751.671.941.931.841.751.661.571.901.891.791.701.611.521.851.841.741.651.551.461.811.791.691.591.501.391.751.741.641.531.431.321.701.681.581.471.351.221.641.621.511.391.251.00 表4（續(xù)） 123456789101215202430406012012345647.838.5117.4412.

30、2210.01799.539.0016.0410.658.43864.239.1715.449.987.76899.639.2515.109.607.39921.839.3014.889.367.15937.139.3314.739.206.98948.239.3614.629.076.85956.739.3714.548.986.76963.339.3914.478.906.68968.639.4014.428.846.62976.739.4144.348.756.52984.939.4314.258.666.43993.139.4514.178.566.31997.239.4614.128

31、.516.28100139.4614.088.466.23100639.4714.048.416.18101039.4813.998.366.12101439.4913.958.316.07101839.5013.908.266.026789108.818.077.577.216.947.266.546.065.715.466.605.895.425.084.836.235.525.054.724.475.995.294.824.484.245.825.124.654.324.075.704.994.534.203.955.604.904.434.103.855.524.804.364.033

32、.785.464.764.303.963.725.374.674.203.873.625.274.574.103.773.525.174.474.003.673.425.124.423.953.613.375.076.363.893.563.315.014.313.843.513.264.964.253.783.453.204.904.203.733.393.144.854.143.673.333.0811121314156.726.556.416.306.205.265.104.974.864.774.634.474.354.244.154.284.124.003.893.804.043.8

33、93.773.663.583.883.733.603.503.413.763.613.483.383.293.663.513.393.293.203.593.443.313.213.123.533.373.253.153.063.433.283.153.052.963.333.183.052.952.863.233.072.952.842.763.173.022.892.792.703.122.962.842.732.643.062.912.782.672.593.002.852.722.612.522.942.792.662.552.462.882.722.602.492.401617181

34、9206.126.045.985.925.874.694.624.564.514.464.084.013.953.903.863.733.663.613.563.513.503.443.383.333.293.343.283.223.173.133.223.163.103.053.013.123.063.012.962.913.052.982.932.882.842.992.922.872.802.772.892.822.772.722.682.792.722.672.622.572.682.622.562.512.462.632.562.502.452.412.572.502.442.392

35、.352.512.442.382.332.292.452.382.322.272.222.382.322.662.202.162.322.252.192.132.0921222324255.835.795.755.725.694.424.384.354.324.293.823.783.753.723.693.483.443.413.383.353.253.223.183.153.133.093.053.022.992.972.972.932.902.872.852.872.842.812.782.752.802.762.732.702.682.732.702.672.642.612.642.6

36、02.572.542.512.532.502.472.442.412.422.392.362.332.302.372.332.302.272.242.312.272.242.212.182.252.212.182.152.122.182.142.112.082.052.112.082.042.011.982.042.001.971.941.9126272829305.665.635.615.595.574.274.244.224.204.183.673.653.633.613.593.333.313.293.273.253.103.083.063.043.032.942.922.902.882

37、.872.822.802.782.762.752.732.712.692.672.652.652.632.612.592.572.592.572.552.532.512.492.472.452.432.412.392.362.342.322.312.282.282.232.212.202.222.192.172.152.142.162.132.112.092.072.092.072.052.032.012.032.001.981.961.941.951.931.911.891.871.881.851.831.811.7940601205.425.295.155.024.053.933.803.

38、693.463.343.233.123.133.012.892.792.902.792.672.572.742.632.522.412.622.512.392.292.532.412.302.192.452.332.222.112.392.272.162.052.292.172.051.942.182.061.941.832.071.941.821.712.011.881.761.641.941.821.691.571.881.741.611.481.801.671.531.391.721.581.431.271.641.481.311.00 表4（續(xù)） 1234567891012152024

39、30406012012345405298.50 34.12 21.20 16.26 4999.599.00 30.82 18.00 13.27 540399.17 29.46 16.69 12.06 562599.25 28.71 15.98 11.39 576499.30 28.24 15.52 10.97 585999.33 27.91 15.21 10.67 592899.36 27.67 14.98 10.46 598299.37 27.49 14.80 10.29 602299.39 27.35 14.66 10.16 615699.40 27.23 14.55 10.05 6106

40、99.42 27.05 14.37 9.89 615799.43 26.87 14.20 9.72 620999.45 26.69 14.02 9.55 623599.46 26.60 13.93 9.47 626199.47 26.50 13.84 9.38 628799.47 26.41 13.75 9.29 631399.48 26.32 13.65 9.20 633999.49 26.22 13.56 9.11 636699.50 26.13 13.46 9.02 67891013.75 12.25 11.26 10.56 10.04 10.92 9.55 8.65 8.02 7.56 9.78 8.45 7