1、1?7?2011?_2012?1?B?_?_?_?18?.?.?1 2 3 4 5 6?()A BC?4813 3516 825 136 512 1.?A,B,C?.?A?,B,C?1).2.?1,2,3,4?,?X,?1,2,X?,?Y.?PY=2=(?2).?PY=2=PX=1PY=2|X=1+PX=2PY=2|X=2+PX=3PY=2|X=3+PX=4PY=2|X=4 =41(0+21+31+41)=4813.3.?X?-1,0,1,2?,?cccc167,85,43,21.?c=(?3).?0|1?XXP=(?4).?13571,24816cccc?3516c?.?PX1|X 0?=
2、25816785212101?ccccXPXP.4.?X,Y?2?-4,?1?4,?0.5.?|2|PXY?12=(?5).?22()()22(4)0EXYE XE Y?,24()()22Cov(,)DXYD XD YX Y?840.5 1 24?.?,|2|PXY?12?2411236?.5.?1X,2X,3X?2(,)XN?,?Y1231134XXkX?,?k=(?6).?1231111()3434EXXkXk?,?,k=512.?20?.?.?2?7?1 2 3 4 5 6 7 8 9 10?A D B C A B D C C D 1.?A,B?,?().(A)()()()P AP AB
3、P AB?.(B)()()()P ABP AP B?.(C)()()()P ABP AP B?.(D)()()()P ABP A P B?.?(D).2.?A?B?,?().(A)A?B?.(B)A?B?.(C)()()()P ABP A P B?.(D)A?B?.?A?B?,?AB?,A?B?A?B?.?(D).3.?X?fx,?()()f xfx?,?F(x)?X?,?a,?().(A)0()1d()?aFaxf x?.(B)01()d2()?aFaxf x?.(C)()()FaF a?.(D)?2()1FaF a?.?(B).4.?X?N(0,1),?)10(?,?u?P Xu?.?P
4、Xx?,?x?().(A)/2u?.(B)1/2u?.(C)(1)/2u?.(D)?1u.?(C).5.?X?f(x),?31YX?g(y)?().(A)111()333fy?.(B)3(31)fy?.(C)3()1f y?.(D)1133()f y?.?,?(A).6.?,?().(A)?X?n,p?().E Xnp?(B)?X?(-1,1)?()0D X?.(C)?X?,?()()D XE X?.(D)?2(,),XN?(0,1)XN?.?3?7?)1,1(?UX,?3112212)()(22?abXD.?(B).7.?,()?X?Y?(A)E(XY)=E(X)E(Y).(B)D(X+Y)
5、D(X)+D(Y).(C)Cov(X,Y)=0.(D)X?Y?.?X?Y?X?Y?,?.?(D).8.?X1,X2,Xn?2(,)XN?,?().(A)().E Xn?(B)2().D X?(C)22().E S?(D)?.?(C).9.?X?Y?,?().(A)X+Y?.(B)X2+Y2?2?.(C)X2?Y2?2?.(D)22XY?F?.?X?Y?,?X?Y?,?(A),(B),(D)?,?(C).10.?X?2?,?12,nXXX?X?,?2?().(A)X?S2.(B)X?211()niiXn?.(C)?2.(D)X?211()niiXXn?.?(D).?(10?)?,?4?,1?;
6、3?,3?;?3?,5?.?,?.(1)?(2)?,?.?A?iH?i?”,i=1,2,3.?P(iH)=13,i=1,2,3,123115(|),(|),(|)528P A HP A HP A H?.4?(1)?4?7?P(A)=112233()(|)()(|)()(|)P H P A HP HP A HP HP A H?12053.4?(2)?P(2|HA)=222()()(|)20()()53P AHP HP A HP AP A?.2?(10?)?(X,Y)?(,)1,01,02,0,.f x yxyx?(1)(X,Y)?(),()XYfxfy?(2)1122P YX?(3)X?Y?.
7、1)?01x?,20()(,)dd2xXfxf x yyyx?;?x?0?x?1?,()0Xfx?.?2,01,()0,?.Xxxfx?.2?0yz0.025=1.96.2?n=16,x=40,?=1,?7?7?0|4041|116xzn?=41.96.?,?=41.2?(2)?x?40,?=1,?=0.05,?0.02521.96,zz?2211()(401.96,401.96)1616,xzxznn?(39.51,40.49).?.4?(3)?=0.05?0.95?0.95=1-?.1?0.95?.1?:t0.025(24)=2.0639,t0.025(23)=2.0687,t0.05(24)=1.7109,t0.05(23)=1.7139 z0.025=1.96,z0.05=1.65
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