概率论中的六种常用分布

4710220－1、、、、．．O211A1009－4970201108－0023－020－1、、、、．．．．11．10－11XPX=0=1－pPX=1=p0＜p＜1Xp0－1．0－1．0－1．1．22XPX=k=Cknpk1－pn－kk=01…nn≥10＜p＜1XnpX～bnp2nAAp．AAAμn．μn．．1．33XPX=k=λkke－λk=012…λ＞0XλX～Pλ．4．npnpbnpPλλ=np．．．22．14Xfx=1b－aa≤x≤b0{Xa[]bX～Uab．2011－01－17“”2010－JKGHAG－04061982－．20118308JournalofLuoyangNormalUniversityAug．2011Vol．30No．8．、．10010．2．25Xfx=λe－λxx＞00{λ＞0XλX～eλ．XX．、、．．XstPX＞s+t|X＞s=PX＞t．XX2．“”．2．36Xfx=12槡πσe－x－μ22σ2－∞＜x＜+∞μσσ＞0Xμσ2X～Nμσ2．1733．－．Nμσ2“”“”．．3．．1．M．1996．2．M．2004．3．M．2006．4．M．2005．TheSixCommonDistributionsinProbabilityTheoryCUIHuan-huanWANGFeng-huiCollegeofMathematicsScienceLuoyangNormalUniversityLuoyang471022ChinaAbstractThispapermainlydiscussestheoriginsandapplicationsofthesixcommondistributionsinprobabil-itytheoryincluding0-1distributionbinomialdistributionPoissondistributionuniformdistributionexponen-tialdistributionnormaldistribution．Ourdiscussioncanhelpthestudentsinunderstandingandmasteringthecon-tentofthispart．Keywordsprobabilitydistributiondiscretedistributioncontinuousdistribution·42·20118