概率論與數(shù)理統(tǒng)計常用數(shù)值表

1、x0.000.010.020.030.040.050.060.070.080.090.00.50000.50400.50800.51200.51600.51990.52390.52790.53190.53590.10.53980.54380.54780.55170.55570.55960.56360.56750.57140.57530.20.57930.58320.58710.59100.59480.59870.60260.60640.61030.61410.30.61790.62170.62550.62930.63310.63680.64060.64430.64800.65170.40.65

2、540.65910.66280.66640.67000.67360.67720.68080.68440.68790.50.69150.69500.69850.70190.70540.70880.71230.71570.71900.72240.60.72570.72910.73240.73570.73890.74220.74540.74850.75170.75490.70.75800.76110.76420.76730.77030.77340.77640.77940.78230.78520.80.78810.79100.79390.79670.79950.80230.80510.80780.81

3、060.81330.90.81590.81860.82120.82380.82640.82890.83150.83400.83650.83891.00.84130.84380.84610.84850.85080.85310.85540.85770.85990.86211.10.86430.86650.86860.87080.87290.87490.87700.87900.88100.88301.20.88490.88690.88880.89070.89250.89440.89620.89800.89970.90151.30.90320.90490.90660.90820.90990.91150

4、.91310.91470.91620.91771.40.91920.92070.92220.92360.92510.92650.92780.92920.93060.93191.50.99320.93450.93570.93700.93820.93940.94060.94180.94300.94411.60.94520.94650.94740.94840.94950.95050.95150.95250.95350.95451.70.95540.95640.95730.95820.95910.95990.96080.96160.96250.96331.80.96410.96480.96560.96

5、640.96710.96780.96860.96930.97000.97061.90.97120.97190.97260.97320.97380.97440.97500.97560.97620.97672.00.97720.97780.97830.97880.97930.97980.98030.98080.98120.98172.10.98210.98260.98300.98340.98380.98420.98640.98500.98540.98572.20.98610.98640.98680.98710.98740.98780.98810.98840.98870.98902.30.98930

6、.98960.98980.99010.99040.99060.99090.99110.99130.99162.40.99180.99200.99220.99250.99270.99290.99310.99320.99340.99362.50.99380.99400.99410.99430.99450.99460.99480.99400.99510.99522.60.99530.99550.99560.99570.99590.99600.99610.99620.99630.99642.70.99650.99660.99670.99680.99690.99700.99710.99720.99730

7、.99742.80.99740.99750.99760.99770.99770.99780.99790.99790.99800.99812.90.99810.99820.99820.99830.99840.99840.99850.99850.99860.99863.00.99870.99870.99870.99880.99880.99890.99890.99890.99900.99903.10.99900.99910.99910.99910.99920.99920.99920.99920.99930.99933.20.99930.99930.99940.99940.99940.99940.99

8、940.99950.99950.99953.30.99950.99950.99950.99960.99960.99960.99960.99960.99960.99973.40.99970.99970.99970.99970.99970.99970.99970.99970.99970.99983.60.99980.99980.99990.99990.99990.99990.99990.99990.99990.99991x表1標(biāo)準(zhǔn)正態(tài)分布函數(shù)(x)='e2du數(shù)值表2,常用數(shù)理統(tǒng)計表u2附錄:表2對應(yīng)于概率P(22)=)及自由度k的？2的數(shù)值表0Ek概率值0.9950.990.9750.9

9、50.900.750.500.250.100.050.0250.010.00510.0440.0320.001；0.0040.0160.1020.455P1.32r2.713.845.026.647.8820.0100.0200.0510.1030.2110.5751.392.774.615.997.389.2110.630.0720.1150.2160.3520.5841.212.374.116.257.829.3511.312.840.2070.2970.4840.7111.061.923.365.397.789.4911.113.314.950.4120.5540.8311.151.61

10、2.674.356.639.2411.112.815.116.760.6760.8721.241.642.203.455.357.8410.612.614.416.818.570.9891.241.692.172.834.256.359.0412.014.116.018.520.381.341.652.182.733.495.077.3410.213.415.517.520.122.091.732.092.703.334.175.908.3411.414.716.919.021.723.6102.162.563.253.944.876.749.3412.516.018.320.523.225.

11、2112.603.053.824.575.587.5810.313.717.319.721.924.726.8123.073.574.405.236.308.4411.314.818.521.023.326.228.3133.574.115.015.897.049.3012.316.019.822.424.727.729.8144.074.665.636.577.7910.213.317.121.123.726.129.131.3154.605.236.267.268.5511.014.318.222.325.027.530.632.8165.145.816.917.969.3111.915.

12、319.423.526.328.832.034.3175.706.417.568.6710.112.816.320.524.827.630.233.435.7186.267.028.239.3910.913.717.321.626.028.931.534.837.2196.847.638.9110.111.714.618.322.727.230.132.936.238.6207.438.269.5910.912.415.519.323.828.431.434.237.640.0218.038.9010.311.613.216.320.324.929.632.735.538.941.4228.6

13、49.5411.012.314.017.221.326.030.833.936.840.342.8239.2610.211.713.114.818.122.327.132.035.238.141.644.2249.8910.912.413.815.719.023.328.233.236.439.443.045.62510.511.513.114.616.519.924.329.334.437.740.644.346.92611.212.213.815.417.320.825.330.435.638.941.945.648.32711.812.914.616.218.121.726.331.53

14、6.740.143.247.049.62812.513.615.316.918.922.727.332.637.941.344.548.351.02913.114.316.017.719.823.628.333.739.142.645.749.652.33013.815.016.818.520.624.529.334.840.343.847.050.953.74020.722.224.426.529.133.739.345.651.855.859.363.766.85028.029.732.434.837.742.949.356.363.267.571.476.279.56033.537.54

15、0.543.246.552.359.367.074.479.183.388.492.0表3對應(yīng)于概率P（t之t值）=口及自由度k的ta的數(shù)值表0.450.400.350.300.250.200.150.100.050.0250.010.00510.1580.3250.5100.7271.0001.3761.9633.086.3112.7131.863.721422894456170.8161.0611.3861.8862.924.306.969.9231372774245847650.9781.2501.6382.353.184.545.8441342714145697419411.9101.

16、5332.132.783.754.6051322674085597279201.1561.4762.022.573.364.0361312654045537189061.1341.4401.9432.453.143.7171302634025497118961.1191.4151.8952.363.003.5081302623995467068891.1081.3971.8602.312.903.3691292613985437038831.1001.3831.8332.262.823.25101292603975427008791.0931.3721.8122.232.763.1711129

17、2603965406978761.0881.3631.7962.202.723.11121282593955396958731.0831.3561.7822.182.683.06131282593945386948701.0791.3501.7712.162.653.01141282583935376928681.0761.3451.7612.142.622.98151282583935366918661.0741.3411.7532.132.602.95161282583925356908651.0711.3371.7462.122.582.92171282573925346898631.0

18、691.3331.7702.112.572.90181272573925346888621.0671.3301.7342.102.552.88191272573915336888611.0661.3281.7292.092.542.86201272573915336878601.0641.3251.7252.092.532.85211272573915326868591.0631.3231.7212.082.522.83221272563905326868581.0611.3211.7172.072.512.82231272563905326858581.0601.3191.7142.072.

19、502.81241272563905316858571.0591.3181.7112.062.492.80251272563905316848561.0581.3161.7082.062.482.79261272563905316848561.0581.3151.7062.062.482.78271272563895316848551.0571.3141.7032.052.472.77281272563895306838551.0561.3131.7012.052.472.76291272563895306838541.0551.3111.6992.042.462.76301272563895

20、306838540.0551.3101.6972.042.462.75401262553885296818510.0501.3031.6842.022.422.70601262543875276798480.0461.2961.6712.002.392.661201262543865266778451.0411.2891.6581.9802.362.62OO0.1260.2530.3850.5240.6740.8421.0361.2821.6451.9602.332.58表4對應(yīng)于概率P（F至尸&=0（及自由度（k1,k2）的Fa的數(shù)值表二二0.05弋kX123456789101215

21、2024304060120OO1161.4199.5215.72246230.2234.0236.8238.9240.5241.9243.9245.9248.0249.1250.1251.1252.2253.3254.3218.5119.0019.1619.2519.3019.3319.3519.3719.3819.4019.4119.4319.4519.4519.4619.4719.4819.4919.50310.139.559.289.129.018.948.898.858.818.798.748.708.668.648.628.598.578.558.5347.716.946.596.3

22、96.266.166.096.046.005.965.915.865.805.775.755.725.695.665.6356.615.795.415.195.054.954.884.824.774.744.684.624.564.534.504.464.434.404.3665.995.144.764.534.394.284.214.154.104.064.003.943.873.843.813.773.743.703.6775.594.744.354.123.973.873.793.733.683.643.573.513.443.413.383.343.303.273.2385.324.4

23、64.073.843.693.583.503.443.393.353.283.223.153.123.083.043.012.972.9395.124.263.863.633.483.373.293.233.183.143.073.012.942.902.862.832.792.752.71104.964.103.713.483.333.223.143.073.022.982.912.852.7732.742.702.662.622.582.54114.843.983.593.363.203.093.012.952.902.852.792.722.652.612.572.532.492.452

24、.40124.753.893.493.263.113.002.912.852.802.752.692.622.542.512.472.432.382.342.30134.673.813.413.183.032.922.832.772.712.672.602.532.462.422.382.342.302.252.21144.603.743.343.112.962.852.762.702.652.62.532.462.392.352.312.272.222.182.13154.543.683.293.062.902.792.712.642.592.542.482.402.332.292.252.

25、202.162.112.07164.493.633.243.012.852.742.662.592.542.492.422.352.282.242.192.152.112.062.01174.453.593.202.962.812.702.612.552.492.452.382.312.232.192.152.102.062.011.96184.413.553.162.932.772.662.582.512.462.412.342.272.192.152.112.062.021.971.92194.383.523.132.902.742.632.542.482.422.382.312.232.

26、162.112.072.031.981.931.88204.353.493.102.872.712.602.512.452.392.352.282.202.122.082.041.991.951.901.84214.323.473.072.842.682.572.492.422.372.322.252.182.102.052.011.961.921.871.81224.303.443.052.822.662.552.462.402.342.302.232.152.072.031.981.941.891.841.78234.283.423.032.802.642.532.442.372.322.

27、272.202.132.052.011.961.911.861.811.76244.263.403.012.782.622.512.422.362.302.252.182.112.031.981.941.891.841.791.73254.243.392.992.762.602.492.402.342.282.242.162.092.011.961.921.871.821.771.71264.233.372.982.742.592.472.392.322.272.222.152.071.991.951.901.851.801.751.69274.213.352.962.732.572.462.

28、372.312.252.202.132.061.971.931.881.841.791.731.67284.203.342.952.712.562.452.362.292.242.192.122.041.961.911.871.821.771.711.65294.183.332.932.702.552.432.352.282.222.182.102.031.941.901.851.811.751.701.64304.173.322.922.692.532.422.332.272.212.162.092.011.931.891.841.791.741.681.62404.083.232.842.

29、612.452.342.252.182.122.082.001.921.841.791.741.691.641.581.51604.003.152.762.532.372.252.172.102.041.991.921.841.751.701.651.591.531.471.391203.923.072.682.452.292.172.092.021.961.911.831.751.661.611.551.501.431.351.25OO3.843.002.602.372.212.102.011.941.881.831.751.671.571.521.461.391.321.221.000（=

30、0.025表4（續(xù)）飛k21234567891012152024304060120OO1547.8799.5864.2899.6921.8937.1948.2956.7963.3968.6976.7984.9993.1997.210011006101010141018238.5139.0039.1739.2539.3039.3339.3639.3739.3939.4039.4139.4339.4539.4639.4639.4739.4839.4939.50317.4416.0415.4415.1014.8814.7314.6214.5414.4714.4244.3414.2514.1714.1

31、214.0814.0413.9913.9513.90412.2210.659.989.609.369.209.078.988.908.848.758.668.568.518.468.418.368.318.26510.018.437.767.397.156.986.856.766.686.626.526.436.316.286.236.186.126.076.0268.817.266.606.235.995.825.705.605.525.465.375.275.175.125.075.014.964.904.8578.076.545.895.525.295.124.994.904.804.7

32、64.674.574.474.426.364.314.254.204.1487.576.065.425.054.824.654.534.434.364.304.204.104.003.953.893.843.783.733.6797.215.715.084.724.484.324.204.104.033.963.873.773.673.613.563.513.453.393.33106.945.464.834.474.244.073.953.853.783.723.623.523.423.373.313.263.203.143.08116.725.264.634.284.043.883.763

33、.663.593.533.433.333.233.173.123.063.002.942.88126.555.104.474.123.893.733.613.513.443.373.283.183.073.022.962.912.852.792.72136.414.974.354.003.773.603.483.393.313.253.153.052.952.892.842.782.722.662.60146.304.864.243.893.663.503.383.293.213.153.052.952.842.792.732.672.612.552.49156.204.774.153.803

34、.583.413.293.203.123.062.962.862.762.702.642.592.522.462.40166.124.694.083.733.503.343.223.123.052.992.892.792.682.632.572.512.452.382.32176.044.624.013.663.443.283.163.062.982.922.822.722.622.562.502.442.382.322.25185.984.563.953.613.383.223.103.012.932.872.772.672.562.502.442.382.322.662.19195.924

35、.513.903.563.333.173.052.962.882.802.722.622.512.452.392.332.272.202.13205.874.463.863.513.293.133.012.912.842.772.682.572.462.412.352.292.222.162.09215.834.423.823.483.253.092.972.872.802.732.642.532.422.372.312.252.182.112.04225.794.383.783.443.223.052.932.842.762.702.602.502.392.332.272.212.142.0

36、82.00235.754.353.753.413.183.022.902.812.732.672.572.472.362.302.242.182.112.041.97245.724.323.723.383.152.992.872.782.702.642.542.442.332.272.212.152.082.011.94255.694.293.693.353.132.972.852.752.682.612.512.412.302.242.182.122.051.981.91265.664.273.673.333.102.942.822.732.652.592.492.392.282.222.1

37、62.092.031.951.88275.634.243.653.313.082.922.802.712.632.572.472.362.282.192.132.072.001.931.85285.614.223.633.293.062.902.782.692.612.552.452.342.232.172.112.051.981.911.83295.594.203.613.273.042.882.762.672.592.532.432.322.212.152.092.031.961.891.81305.574.183.593.253.032.872.752.652.572.512.412.3

38、12.202.142.072.011.941.871.79405.424.053.463.132.902.742.622.532.452.392.292.182.072.011.941.881.801.721.64605.293.933.343.012.792.632.512.412.332.272.172.061.941.881.821.741.671.581.481205.153.803.232.892.672.522.392.302.222.162.051.941.821.761.691.611.531.431.31OO5.023.693.122.792.572.412.292.192.

39、112.051.941.831.711.641.571.481.391.271.00二二0.01表4（續(xù)）隊k21234567891012152024304060120OO140524999.554035625576458595928598260226156610661576209623562616287631363396366298.5099.0099.1799.2599.3099.3399.3699.3799.3999.4099.4299.4399.4599.4699.4799.4799.4899.4999.50334.1230.8229.4628.7128.2427.9127.6727.

40、4927.3527.2327.0526.8726.6926.6026.5026.4126.3226.2226.13421.2018.0016.6915.9815.5215.2114.9814.8014.6614.5514.3714.2014.0213.9313.8413.7513.6513.5613.46516.2613.2712.0611.3910.9710.6710.4610.2910.1610.059.899.729.559.479.389.299.209.119.02613.7510.929.789.158.758.478.268.107.987.877.727.567.407.317.237.147.066.976.88712.259.558.457.857.467.196.996.846.726.626.476.316.166.075.995.915.825.745.65811.268.657.597.0