计量经济学(斯托克,沃森,第三版)答案

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1、ForStudentsSolutionstoOdd-NumberedEnd-of-ChapterExercisesChapter2ReviewofProbability2.1.(a)ProbabilitydistributionfunctionforYOutcome(numberofheads)Y0Y1Y2Probability0.250.500.25(b)CumulativeprobabilitydistributionfunctionforYOutcome(numberofheads)Y00Y

2、11Y2Y2Probability00.250.751.0d(c)=()EY(00.25)(10.50)(20.25)1.00.FFq,.Y22UsingKeyConcept2.3:var()YE(YE)[()],Yand(

3、)uXiisothat222var()YE(YE)[()]Y1.50(1.00)0.50.2.3.ForthetwonewrandomvariablesWX36andVY207,wehave:(a)EV()E(207)Y207()

4、EY2070781454,EW()(36)36()3607072EXEX222(b)WXvar(36)X636021756,222var(207)Y(7)490171684084VY(c)cov(36,207)XY6(7)cov(,)XY4200843528WV3528WVcorr(WV,)04425WV75684084©2011PearsonEducation,Inc.Pu

5、blishingasAddisonWesleySolutionstoOdd-NumberedEnd-of-ChapterExercises32.5.LetXdenotetemperatureinFandYdenotetemperatureinC.RecallthatY0whenX32andY100whenX212;thisimpliesYX(100/180)(32)orY17.78(5/9)X.UsingKeyooConcept2.3,X70FimpliesthatY1

6、7.78(5/9)7021.11C,andX7Fimplies(5/9)73.89C.Y2222.7.Usingobviousnotation,CMF;thusCMFandCMF2cov(,).MFThisimplies(a)4045$85,000peryear.Ccov(M,)F(b)corr(MF,),sothatcov(,MFM)corr(,F).Thuscov(,)MFMFMF12180.80172.80,wheretheunit

7、saresquaredthousandsofdollarsperyear.222222(c)2cov(,),MFsothat12182172.80813.60,andCMFC813.6028.524thousanddollarsperyear.C(d)FirstyouneedtolookupthecurrentEuro/dollarexchangerateintheWallStreetJournal,theFederalReservewebpage,orotherfinancia

8、ldataoutlet.Supposethatthisexchangerateise(saye0.80Eurosperdollar);each1dollaristhereforewitheEuros.ThemeanisthereforeeC(inunitsofthousandsofEurosperyear),andthestandarddeviationiseC(inunitsofthousandsofEurosperyear).Thecorrelationisunit-free,andisunch

9、anged.2.9.ValueofYProbabilityDistributionof1422304065XValueofX10.020.050.100.030.010.2150.170.150.050.020.010.4080.020.030.150.100.090.39ProbabilitydistributionofY0.210.230.300.150.111.00(a)Theprobabil