,OUඔ࠹ٳ༅აႋႨֻ4ࢃቨႿ࠹ྒᆴ߭ဒაܚ࠹(1)iႵܱٚҵ֥ဒაܙ࠹௴࠶ૌᆩ֡,֒ളӁቔြ่ࡱؿളࠏԎ౼նཬູn֥ဢЧ,ဢЧ֥ҩႿሱႮ؇vູ5֥x,ٳ҃,Pؽэ۷ൈ,ؓႋ֥Ӂᇉਈหྟᆴٳקᆴູx:,xZ,l,xb,ᄵ֥ਙაvؽ5֥ྛᆭࢌׄඔሳູ҃߶ؿളэ߄bЧࢃᆌؓڛՖᆞ.,x,=x,,+xႃ+l+xn,(l)1107ᆃіૼx,ᆴնႿ.1107֥ٳ֥҃࠹ਈᆴหྟೂӁԄժaᇗՖሱႮ؇vؽn֥x,ٳ҃bۀੱ(ഈҧۀੱ)Pູ.005(5%,ਈaࡆ۽໑؇֩,ษіൕఃሹุ၂Ϯ,ՖᆞሹุN(ਟ,a,)ᇏԎb2)ᆃ၂ׄӫቔሱႮ؇5֥ঔٳٳ֥҃नᆴaٚҵ֥ࡌഡဒა౼ෛࠏဢЧ,ࡼඔऌxmѓሙ߄,҃ഈҧۀੱ5%ׄ(༯ҧۀੱ95%ׄ,)ҕඔܙ࠹໙ี,Їওਆሹุٳ҃Ⴕᄵіൕູ:ҵၳ֥ဒაҵၳնཬ֥ܙ࠹ٚ.,x,ؽxzo(5)ؽ.1107مbᄝࢺകᆃུဒაܙ࠹ٚمၜ(ai၂,;)zb,(2)၂Ϯ,іൕູ:ൈ,ࡼႋႨ֞ঔٳ҃aFٳ҃atՖv=n֥x,ٳ҃b၂bx,Ѿb(,)ࠇx,,(v)ٳ҃ࠣᆞٳ҃֩bᄝՎ.,ႨՖဢЧ֥n۱ҩקᆴ2ܱႿሹุٚҵ֥ဒb֤֥ဢЧनᆴႻսูሹุनଖӌളӁ֥Ӂᇗਈ,ݖಀӉ၂aܱႿٚҵ֥ဒაܙ࠹ᆴѾ,ᄵ௹໗קᄝѓሙொҵູ.b4okgቋ࣍ᄝളӁݖӱᇏᇅᄯԛᇉਈหྟᇅᄯٚمႵ҆ٳڿэ,Ԏ౼10xn=im၂mn,mbnؽᆴѯ()ཬ֥Ӂ,ॖၛඪ൞ࣟ(3)Ӂ֤֞ᇗਈඔऌູ:ളӁགྷӆ֥၂նᇗေༀbіൕѯՖሱႮ؇ഒ1֥vؽ(n၂,,,,,,,,,l)֥82898190848388808590նཬ֥ٚҵ,नᆴ၂ဢ൞x,ٳ҃b(kg)थקٳ֥҃ᇗေေ,(ҕඔ)൞,ᆞೂ1෮ൕ,ঔٳ҃౷ཌෛ൫໙ྍaࣸᇅᄯٚمཌྷбఃᇗದૌສສᇗ൪ؓႿनᆴ֥ဒაሱႮ؇vطэ,֒ሱႮ؇ᄹնൈ,ਈ֥ѯ൞ڎႵҵၳ?ܙ࠹طޭ൪ਔؓٚҵ֥ဒაܙ౷ཌཟᆞٳ҃ौ࣍,ఃनᆴູؓᆃ۱໙ี,ၛສҐႨࣸᇅᄯ࠹bູՎ,Чࢫ൮༵ࢺകܱႿሹุv,ѓሙொҵູႼࣀbٚم֥ᇗਈᆞٳ֥҃ሹุٚҵູٚҵ֥ဒაܙ࠹ၛࠣؓਆٚҵᆭbx,ٳ֥҃ඔᆴі1২ೂܱൈ=4.,གྷᄝေ۴ऌটሱྍᇅᄯٚࡗҵၳ֥ဒb(၂)ሹุٚҵ֥ဒაܙ࠹bf(Xࣂ.֒Ֆሹุٚҵູਔ֥ᆞሹุ03ಥᇏෛࠏԎ౼nࡱӁቔဢЧࣉྛҩf(Xࣂ.൫,ԛဢЧ֥ٚބSൈ,ᄵ02٦ഐ,lঔ(5)S/ਔӯགྷሱႮ؇ູvؽ(n၂l)֥ঔٳ҃0၂.(IPؽ.)09501/.05(ehisࢡaredistributionb)০ႨՎٳ҃ॖၛࣉྛሹุٚҵ֥ဒაܙ࠹,ٳ҃bႾѾҴ၂Ѿᔚ.X,X٦b(5ؽ)1107Zvؽ5֥Ֆѓሙᆞٳ҃N(O,12)ᇏෛlሱႮ؇v=,,3510֥ঔٳ҃xZٳ҃Xؽ)1107
ඔ࠹ٳ༅აႋႨ7b}і1ঔٳ҃іі2࠹ෘٚބڣᇹႨі(ᇗ:.kg),,Pွঔx(൬ࠆਈ)XؽႭ၂8855r۴ऌሱႮ؇vაഈҧۀੱP(༯ҧۀੱ(ѾP))m၂,P,\P/82၂39894l6X,ᗲ.8lѾ.......-4l6999759590l0050250l059052584၂1l83၂24...,....01025༝510909597599958839.......l00315700Օ၂525........200201005060103021146159973892110608500.............࠹2130.......(y7128310ّ91675........Ⴟ൞,ٚބູ:...१712391െ.......=ၜ(x;၂ಋ2=ၜxӁ-(ၜxm2).92.ເ.........=}ၜ.xӁ၂ഈࣔࣔJؽ}l.........,െࠄ.283=...,,o၂༐ؽc1296l34115015897.ၛ................(3)۴ऌൔ(3)࠹ෘab,.....;.....l76417568..6710!ູ24.=.....၂.........ଁഒ8l976389110121165272301329362386....20826959108512ᇏ....284314342376400(4)০ႨxZٳ҃іሱႮ؇......=(n၂l)ؽ,9ਆҧۀੱ5%֥xZ..............231020116913()91485320352381416ᆴ(b3)42.....ؓႿֆҧۀੱ۲ູ.25%ؓႋ.............֥ঔᆴ:.......٦ؽcc(9)ؽ................༯ҧ.25%......٦ؽ.cc5(9)ؽ....ቇ..........ഈҧ.25%....6037,(5)ࣉྛဒაקb........704544885175538559()595011அ.41u.2.....ᆞ୯१3෮ൕ.,x:810бኸ(9)ె.611231163:........9061865669173310761131118112411283.......ն,бxጿ(9)ཬ,ंႿਆᆀᆭࡗ1o70174277982411851243129613581402ႆ၂.233၂,...196၂1၂.6412812821.၂.519ࣇ)233258(ࢤ൳თ:)xa.(ሱႮ؇ޓնൈ,a,֥࣍රൔ:a2,ؽ(,)ؽ(yᇝvmؽਔ),)ؽ(9)<a<(9):m෮ၛ,קࢤ൳ჰࡌഡ,֤ࠧم֥ဢЧඔऌဒҐႨྍٚمᇗਈ(Сᄴࡌഡ:҂Ⴟb,ٚԛྍࣸᇅᄯم֥ᇗਈѯીႵҵљ֥ሹุٚҵ൞ڎႵэ߄?ҵؿളਔэ߄)fູՎ(xഐ,০Ⴈঔٳ҃ဒᆞሹa.:005ุٚҵ֥҄ᇧೂ༯b(౼ཁᇷඣູ5%)(1)ิԛࡌഡ,ಒקཁᇷྟඣ(2)۴ऌྍᇅᄯم֥ဢЧᇗਈbඔऌ,࠹ෘٚބbS൦:ؽൈູਔࡥ߄࠹ෘ,ૌࡼඔऌቓ(ჰࡌഡ:ྍᇅᄯٚم֥ᇗਈਔೂ༯֥эߐ(іb2)ٚҵၛສࣸᇅᄯمٚҵൈཌྷ=(x;၂x0)xhؽ(xi၂85)xlбીႵэ߄)(ൔᇏীູൡ֒࿊౼֥ࡌन;3v=9֥ঔٳ֥҃༯ҧcഈҧH::ႃൈh൞ູ(xb၂xo)Ӯູᆜඔ֥Ӱඔ).25%֥ᆴ(ঔٳ҃აဒ)
8blඔ࠹ٳ༅აႋႨ֥ࢲંbࡼഈൔэྙ֤༯ൔ:(b5)ᇿ:_J¹ᄝླေဒྍᇅᄯم֥S,S་і3aі4ູFٳ҃і(ࣇൕԛᇗਈѯ൞ڎбࣸᇅᄯمնൈ,ႋXႃአ၂mנຣ(5)XI-ഈҧۀੱູ.005ࠣ.֥ࡼpູሹุٚҵୡ֥ᇂྐ؇x0zxata(9)ࣉྛбࢠ,ಖު҆ٳb)ಒק൞ࢤ൳ߎ൞ऋधჰࡌഡbᆃൈ(l၂a)֥ᇂྐࡗb২ೂေҰٳሰ֥ሱႮ؇v,ؽ,5ၹՎ,֥СᄴࡌഡູH,:ਔ>ൈbၛᇂྐ؇95%ܙ࠹ྍٳଛ֥ሱႮ؇ླྀؽ10֥ٳ҃,Ֆіᇿº:ࡌೂ࠹ෘԛ֥ဒ࠹ᇅᄯٚمᇗਈ֥ሹุٚҵ,ᄵႵ:3ॖᆩ,ഈҧۀੱPؽ.005ؓႋFS,ਈ_2_xሰؽ.1,50б༯ҧᆴxᅈؽ(9S)--ؽ------עؽؽ~၂ᆴູ.333bᆃӫቔሱႮ؇,510֥.ཬbగUُXაx(,)ቇؽ(9),ܣקऋधჰࡌഡ,ࠧྍaࣸഈᇅᄯم֥ᇗਈѯႵҵљ(ѯؿսದඔऌҧۀੱ5%ׄ(༯ҧۀੱ95%ׄ,):Ӈण.іൕູ:<az<1296ളਔэ߄bؽ.)طx0z2,00б..270FOa,(510)xᅈ975(9)ն,ဢקऋधჰࡌ..681<y2<480၂Ϯᄵіൕູ:ഡbభᆀཌྷ֒Ⴟྍᇅᄯم֥ѯбF_෮ၛ,,v:,v:,ٚҵ֥ᇂྐࡗູ.681-()ࠇF:_bvl,v:()ࣸمཬ֥ӆކ,ުᆀᄵཌྷ֒ႿྍᇅFٳ҃і,.4b80๙ӈሙСႵഈҧۀ(kঔ)ᄯم֥ѯбࣸمն֥ӆކbੱູ5%.,25%,1%.,05%֥֩(ؽ)ਆ۱ሹุٚҵᆭࡗҵၳᇿ:»Ч২൞ໃᆩሹุनᆴ֥ဒbؓႋᆴbЧࢃቖၹږ૫Ⴕཋ,ࣇ۳ਟဒٚҵሰ,ҐႨ֥܄ൔູൔഈ૫ษંਔ၂۱ᆞሹุ֥ٚԛఃᇏ3ᇕ౦ঃb০Ⴈᆃུі,۴(3,)ࠧႨဢЧनᆴႻսูਟ,ҵဒbགྷᄝࡼေษਆ۱ᆞሹऌ༯ൔॖԛ༯ҧۀੱ5%.,25%ႨሱႮ؇v=n၂l֥ঔٳ҃bೂݔุ֥ٚҵဒb၂۱ᆞሹุ֥֥ٚ֩ᆴbၘᆩሹุनᆴѾ,ᄵႋҐႨൔҵဒ,Ⴈ֥ဢЧ࠹ਈঔ൞rav:,,(܄=༯=rи(7)Ѿb,గvZ,vl(2)Ⴈv=n֥ঔٳ҃ࣉྛဒb၂۱ՖxZٳ֥҃ෛࠏэਈ;ط.3ሹุٚҵ֥ܙ࠹b২ೂሱႮ؇1,05ਆ۱ᆞሹุ֥ٚҵ൞ڎႵҵљ֥֥༯ҧۀੱགྷᄝ۴ऌྍᇅᄯٚم֥5ဒ%֥F1ᆴູ:0,෮Ⴈ֥ဢЧ࠹ਈ(ਆဢ,ᇗਈඔऌ൫ܙ࠹၂༯ሹุٚҵbЧٚҵᆭб)Fᄵ൞ՖFٳ҃(F-Fm0pؽ0ofৡӆຣٚҵ֥ׄܙ࠹ᆴႋھႨ൰,=vdestributoin)֥ෛࠏэਈbؽ.1Fٳ҃bౝ.=030ࠇs,ൔট֤bࠧႵކSn၂(l)ՖऎႵཌྷٚҵ֥ਆᆞሹ.2ਆሹุٚҵᆭࡗҵၳ֥ဒ.=144၂(kঔ)ุᇏٳљԎ౼նཬູn:,n:֥2ቆଖᇕ߄࿐ူ֥แልႨAa(10l)Bᇂྐ؇ູ(1၂a)֥ٚҵࡗܙဢЧ,࠹ෘఃဢЧٚҵ,V(ࠇsਆԉแࠏࣉྛbູਔࢳ۲ԉแބ:V(ࠇsϲ,࠹ᄵॖೂ༯֤bԛٚҵбbࠏ֥แልਈ(g)൞ڎթᄝҵၳ,ؓb,Ֆٚҵູୡ֥ሹุᇏԎ౼ဢV۲ࠏ֥แልਈቓਔטҰ,ࠆ֤ඔrؽؽؽؽ-(6)V2Ч,۴ऌဢЧඔऌ֤Slਔ,ܿקऌೂ༯:ᆃFᆴՖሱႮ؇v,=n:၂,(l)......A:2,,౼б081,962,04,200209201,x,2ཬ֥ᆴۀੱູa/2,౼бెؽnZ၂(l)֥Fٳ҃b....2,06201,203,199xႃն֥ᆴۀੱູa/2,ೂ4,S/Fٳ֥҃ྙෛٳሰaٳଛ֥......B:2,,03,2,ሰ౼ൔ082072,09203,208(4)ᆴ֥ۀੱູ(1၂a:)ሱႮ؇طэ߄,აx,ٳ҃ཌྷර,..21,0210_2__,S2Xlmؽຣ~aXZ(4)ၧ҂౼ڵᆴ,ӯགྷཟႷಔ֥ྙአ၂൫ษ۲ࠏ֥แልਈٚҵ൞ڎႵཁᇷҵљ?f(ಋؓႿᆃ۱໙ี,AaB֥แልਈनᆴ൞ڎႵཁᇷҵљ္൞ླေXZv()ษ֥,ᆃࡼᄝ༯၂ࢫ֥नᆴᆭҵf(F)֥ဒᇏჍၛࢺകbᄝՎ,ᇶေࢺFകбࢠแልਈѯ(ٚҵ)֥҄ᇧb(5,10)(l၂a)laZӌ(l၂P(l)ิԛࡌഡ,ಒקཁᇷྟඣb)P=:ebؽܼa(AaBਆԉแࠏ֥lxྟbx,v()XအxnѾუv()ُa,.(51ؽ0)333แልਈٚҵીႵཁᇷҵљ)aHl:b4xZٳ҃აܙ࠹SFٳ҃vl=,vZ=(510ӌ෦aਔ(ABਆԉแࠏ)
ඔ࠹ٳ༅აႋႨl8,і3F҃ٳі(5%,10%)၂ոmຣ҂נb=!ࣸ,༥.Ѿؽ,ՙሳሱႮ_ࢳ؇v,,v:F֥҃ٳഈ֥ҧۀ0ੱ.5ࠣؓႋ֥Fᆴ(༥ሳ0ູ.5,ሳູՙ)২:ሱႮ؇vlؽ2,ϓ=1bF֥҃ٳഈҧੱۀb֗5ؓႋູ໊֥ׄٳ(F756b,,(2,10)o,=)756
ඔ࠹ٳ༅აႋႨі.4Fٳ҃і(25%)έെc~ۄඳP=oo2,ُbሱႮ؇,,,v:֥Fٳ֥҃ഈҧۀੱ.0025ؓႋ֥Fᆴს၂c၂(X)ll(X)6101010141018..................2385390392392393393394394394394394394394395395395395395395................3174160154151149147146145145144143143142141141140140139139...,.,..........412210699896093692090789889()884875866856851846841836831826..................5100843776739715698685676668662652643633628623618612607602.................688172666()62359958257056055254653752751751250750149649()485.............,..,.7807654589552529512499490482476467457447442436431425420414..............87576065425054824654534434364304204104(X)395389384378373367.................9721571508472448432420410403396387377367361356351345339333..................l0694546483447424407395385378372362352342337331326320314308................ll672526463428404388376363593533433333233173123063(X)294288......,.........l265551044741238937336135134337328318307302296291285279272....,.......]...,.............14630486424389366350338329321315305295284279273267261255249..................................I661246940837335033432231230529289279268263257251245238232...............l76044624013663432831630629829228227226225625024238232225...............1859845639536133832231030129328727726725625024238232226219................1959245139()356333317305296288282272262251245239233227220213.....,.............20587446386351329313301291284277268257246241235229222216209..................2l583442382348325309297287280273264253242237231225218211204.................225794383783432230529328427627026()2502392332272212142082(X)..................23575435375341318302290281273267257247236230224218211204197........၂.......24572432372338315299287278270264254244233227221215208201194.................25569429369335313297285275268261251241230224218212205198191..................26566427367333310294282273265259249239228222216209203195188..............275634243653313ಫ.82922802712632572472362252192132072(X)193185.................28561422363329306290278269261255245234223217211205]98191183................295594203613273ၛ288276267259253243232221215209203196189181................305j7418359325303287275265257251241231220214207201194187179.................4054240534631329()2742622532452392292182(y7201194188180172164ႆ.....,..........529393334301279263251241233227217206194188182174167158148...,...........12051538032328926725223923022216205194182176169161153143131mm..................502369312279257241229219211205194183171]64]571481391271(X)২:ሱႮ؇vlؽ,2ၾ=10֥Fٳ֥҃ഈҧۀੱؓႋ֥ٳູ໊ׄ.410(Fa,0(2,10)=)001ؓႋ֥ٳູ໊ׄ..,756(F099(210)=756)і5࠹ෘႨ֥ڣᇹі(ልtg,Xؽ(xi၂.200)xloXೆX^XXXeXf(r)}H,൦၂4l6208864..204416207749..2000020998l25%ࡆᄅ၂98l20339..b201l1208864๙ࡆ.ؽ.6636210l01o8Fྏ,(97)..!ُb,(97)॓.ؽ.213199၂1l࠹.6Fٳ҃აဒ
ඔ࠹ٳ༅აႋႨb3}֥แልਈٚҵႵཁᇷҵљ)ഈҧ.25%֥ᆴູᄝཁᇷྟඣa,ॖಪູਆሹุ֥၎.၂:.0,05F0ଧ(97)ؽ482ٚҵႵཁᇷҵၳbᄝՎྶᄜ఼ט၂༯ҧ.(2)ٳљԛAaB֥ٚބ25%֥ᆴູ༯,v,ູٳሰ֥ሱႮ؇,p:ູٳଛࠣٚҵ(іb5)F0b,(97nؽҊৡਔ֥ሱႮ؇,ٳሰaٳଛ֥࿊౼ႋູ࠹ෘഈ֥ٚь,ࡼඔऌቓэF0бlնbߐXi=ؽ(xi၂.200)x10ᇿ:ºؓႿAaBਆሹุ֥ٚb၂av:S၂ದ(,ؽmၜoX^2a)ౝ=pco38x{Xa,ၜ-}ύҵܙ࠹,ॖႨൔ(5)֥xZٳ҃b(5hၙ)ࣉྛဒაק=213֥ᆴбFObႮႿЧ২֥ਆሹุٚҵીႵཁᇷҵؽ,225၂ၴؽm(9,7)ն,,б.FOb,ၳ,ܣॖॉ੮ܙ࠹܋֥ٚҵ,ఃlUС(97)ཬ,ࠧႵ:..2F,҄ᇧೂ༯bSݺ{ၜXঀ-(ၜXB)Oс(97<)F0<FOb,(97)ಒၹՎ,ࢤ൳ჰࡌഡ൦,ಪູׄܙ࠹ᆴ:AaBਆแልࠏ֥แልਈѯ2={476-(582)lxVࠇ5=S^+Sbn၂8l೬(ӌl+nb)(l)ၹՎ.Ⴕ(ٚҵ)ીႵཁᇷҵљb(AაB֥ٚބᆭބ,Ԣၛᇿ:¹Ч২֥vA>Vb,ఃဒAაBS^.1521֥ሱႮ؇ᆭބ)ϓએ.=(3၂0169)nA၂l10၂1ٚمೂഈ෮ඍbೂݔ൞^V<b,Vᄵࠧ:҄ᇧ..Sb0555(3)࠹ෘ֥F0ᆴбlཬ,ᆃൈ521+.0555.=00793V=1ؽ.0130nu၂+l8၂lླေ༯ҧ.25%֥ࢸཋᆴটбࢠ(8၂(10၂1)1)۴ऌൔ:(6)ٚҵбُնཬᄜथקჰࡌഡ֥ࢤ൳აڎbࡗܙ࠹ᆴ(ᇂྐ؇ູ95%)A.ُ=ຈᆶ0169.=213൞,ൌ࠽֥ဒᄝ҄ᇧ(3)࠹ෘF0ຣধ༯<Vሰၾ,ধ܋၂၂ᝲႻv)X၂ൈ٧་p),ሹ൞ࡼࢠն֥ٚҵ౼ቔٳሰaᆃ,S౼A+(SSb)֥ᆴ,,౼(4)ҰFٳ҃і֥ᆴb۴ऌٳሰሱႮ؇vaؽ,9ٳଛሱࢠཬ֥ٚҵ౼ቔٳଛ,ၛF0б1v^+v:ؽn^+nb၂(2)֥ᆴbႿ൞,֤֞ն,ᆃൈၛཁᇷྟඣb֥ဒ,ᆺႮ؇vbؽ7Ұֆҧۀੱ۲ູ.25%ύ9ౣ<crۥෑః<aZඳ30ླഈҧۀੱݼ֥ᆴFѾ.Z੧.691,(v1,,2)ࣉྛб(ࠧචҧۀੱ5%)֥Fٳ҃іᆴ(b6)Ⴎі4ॖᆩ:ࢠbࠧႵF,0ረF၂lݼ(v,,એ)֥ܱ༢ᄵ
