概率论与数理统计常用数值表.doc

表4 分布表 355附录:常用数理统计表表1 标准正态分布函数数值表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。52390.56360.60260.64060.67720。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。74540.77640.80510。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。91150.92650.85540.87700.89620.91310。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。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。99040.99270。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。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。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 对应于概率及自由度的的数值表概率值0。9950.990。9750.950。900.750。500.250。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。17.8810.612。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。073.574.074。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。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。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。620。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。483.363.776。288。466.879.592。0表3 对应于概率及自由度的的数值表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。964.543。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。363.253.1711121314151291281281281282602592592582583963953943933935405395385375366976956946926918768738708688661.0881.0831。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。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。502.492。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。1262562552542540.2533893883873860.3855305295275260。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 361表4 对应于概率及自由度的的数值表123456789101215202430406012012345161。418。5110。137.716.61199。519.009。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。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。003.573.283.072.913。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。852.793.012.912。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。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。662。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。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。891.871。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。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(续）123456789101215202430406012012345647。838.5117。4412.2210。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。4614.128.516.28100139.4614。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。033.785.464.764。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。893。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。492.4016171819206。126.045。985。925。874。694。624.564。514.464.084.013.953。903。863.733。663.613.563。513。503.443