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1、 P119. 2- 9A4 else yx yxf , 0 , 1, 1 ),( 22 1 22 yx XY else x x else xdy dyyxfxf x x X 0 11 12 0 11 1 ),()( 2 1 1 2 2 else y y else ydx dxyxfxf y y Y 0 11 12 0 11 1 ),()( 2 1 1 2 2 )()(),(yfxfyxf YX XY P126. 2- 10A4 P127. 2- 10B3 else x xfX 0 101 )( else yy yy yfY 0 212 10 )( () dxxzfxfz YX )()()( e
2、lse xzxxxz xzxxxz else xzxxz xzxxz xzfxf YX 0 21 , 102 1, 10 0 21 , 10)2(1 10 , 10)(1 )()( x 01 2 1 z=x z=1+x z=2+x X XY Y elseelse f 1 ) )x x else zz z zzz z z else zdxxz zdxxzdxxz zdxxz dxxzfxfz z z z z YX 0 32 2 9 3 2 21 2 3 3 10 2 0 32)2( 21)()2( 10)( )()()( 2 2 2 1 2 1 1 1 0 0 2 (1) )()( )( )(
3、)( )()( )()( fdttf dttf dttf txtdtf dxxfaF a a a a a 1)()()()()(dxxfdttfdxxfaFaF a a (2)(1) 2 1 )()( 2 1 )( )()()()( 0 00 fdxxf dxxf dxxfdxxfdxxfaF a a a 2 2 1 1 fdxxffdf()()() ) 2 ) 2 2 (2 ) 1( exp1 ) 2 2 (2 ) 1( exp)( 2 2 2 2 2 2x Ae x AAexf xx ) 2 1 , 1 (NXvr ) 2 2 (2 ) 1( exp 2 1 2 1 )( 2 2 x xf
4、X ) 2 2 (2 ) 1( exp ) 2 2 (2 ) 1( exp 2 1 2 1 2 2 2 2 x Ae x e A 1 ) 2 1 , 1 (NXvr) ) 2 2 P95A5XE(2), 00 02 )( 2 x xe xf x X Y=1- e- 2X, 11 1)( 11 1)1ln( 2 1 1 )( )1ln( 2 1 2 y ydxxf y yyXP yeP yYPyF y X X Y else y y yy yy y e y y y yf yFyf y X YY 0 101 10 1, 0)1ln( 2 1 0 1, 0)1ln( 2 1 )1 (2 1 2 10
5、1 )1 (2 1 )1ln( 2 1 ( )( )( )1ln( 2 1 2 YU(0,1) P96B31|,min|, )1 ( 1 )( 2 XY x xfX (1) 11 10arctan 2 00 11 10 )1 ( 1 00 11 10| 00 1|,min|)( 2 y yy y y ydx x y y yyXP y yXPyYPyF y y Y (2)5 . 05 . 01)01 () 1 (1 YY FFYP 1 2 2) )y y y y 1 , 0)1n(0)y y 1, 01y 1 (1 ( 1 1 2 2- 10 (P127.B.4) else yxyx yxfYX
6、NYXM 0 10 , 10 ),(,min,max zz M dxdyyxfzYzXPzYXPzMPzF),(,max)( 00 10 11 00 10)( 1)( ),()( 3 0 0 1 0 1 0 z zz z zdxdy zdxdyyx zdxdyyx dxdyyxfzF zz z zzz M 00 10 11 0)(1 10)(1 101 ),(1,1)( 32 1 0 1 0 1 1 z zzzz z zdxdyyx zdxdyyx zdxdy dxdyyxfzYzXPzF z z zz zz N 1 d d0 0 z z ( ( zz 1 1 0 0 1 2 z z z z
7、(P129.7) (1)1),(dxdyyxf A xA dx xA xd x x xA x xd A dx Ax x dy yAx dx dxdyyxf x x 2 | 12 1 0 2 )(ln 1 |ln 1 2 ) 1 (ln 2 ln2 1 ),(1 1 1 2 1 1 1 1 2 1/1 2 A=2 (2) 2 1 | 1 2 2ln 1 2 2ln 2 2ln )(ln 1 |ln 1 | 1 2ln) 1 (ln 2lnln 2 1 2 1 4 2 1 2 1 2 2 1 2 1 2 2 1 2 2 2 1 2 24/ 2 2 1/1 2 x dx x xd x x x xx
8、xd dx x dx x x dy yx dxdy yx dxXYP x x x x1/1/1/ 2 1 1 x x (3) 10 1 ln 10 1 2 1 ),()( 2 /1 2 x x x x x xdy yx dyyxfxf x x X 00 10 2 1 1 2 1 00 10 2 1 1 2 1 ),()( 2 /1 2 2 y y y y y ydx yx ydx yx dxyxfxf y y Y (4)()(),(yfxfyxf YX XY P128.6 X Y 0 1 Pi - 101/4 0 1/2 101/4 Pj1/2 1/2 PXY=0=1XY=0XY 0 PX=-
9、 1,Y=1=P X=1,Y=1=0X,Y P128.8 3X1X2X32Y3Z Y= X1+X2 fY(y) Z= Y+X3 fZ(z) P128.10 XP( )(Y|X=n) B(n,p)P(Y0|X=0)=0P(Y=0|X=0)=1 0 m n + PX=n,Y=m= PX=n P Y=m| X=n= mnmm n n ppCe n )1 ( ! 1 0 0 C X X2 2X X3 3 (z) X,Y Y (Y|X=n) B(n,p) PX=n,Y=m= PX=n PX=n,Y=m= PX=n P Y=m| X=n= P Y=m| X=n= (P129.8.9) 8 3XYZ2T3S
10、 else xxe xf x 0 0 )( T= X+X2 0 6 00 0)( 00 )()()( 3 0 )( ze z z zdxexzxe z dxxzfxfz z z xzx YXT S= T+Z 0 120 00 0)( 6 00 )()()( 5 0 )( 3 ze z z zdxexze x z dxxzfxz z z xzx ZTS 9 A1=200V A2=200V240V A3=240V B= 2119 . 0 ) 5 4 (1) 25 220240 (1240)( 5762 . 0 1) 5 4 (2 25 20 25 220 240200)( 2119 . 0 ) 5
11、 4 (1) 25 220200 (200)( 3 2 1 XPAP X PXPAP XPAP z x x0,z- x0 z x x0,z- x0 dxdx) ) 0 0 ) ) )() z dxe e ) )( z z (1)064 . 0 2 . 02119 . 0 001 . 0 5762 . 0 1 . 02119 . 0 )|()()( 3 1 ii i ABPAPBP (2) 009 . 0 064 . 0 001 . 0 5762 . 0 )|()( )|()( )|( 3 1 22 2 ii i ABPAP ABPAP BAP 3- 1 (P139.B2.3) 2.X3 , 2
12、 , 1,)1 ( 1 nppnXP n ppnEX n n 1 1 )1 ( )1 (1 1 )1 ()1 ( 1 1 p pppEXpEX n n p EX 1 3. 2/ 2 2 1 )( x X exf 2/ 2 2 1 )( y Y eyf 2/ )( 22 2 1 )()(),( yx YX eyfxfyxf )( 22 YXEdxdyeyxdxdyyxfyx yx2/ )(2222 22 2 1 ),( sin,cosryrx 2 2 2 1 2 2 2 1 2 | )2/( 2 1 )( 2/ 0 2/ 0 2/ 0 2/ 0 2/ 0 2/ 0 22/ 0 2/ 2 00 2
13、/22 2 2 2 22 2 2 2 2 dre dre dre drere rde rder rdrer rdrerdYXE r r r rr r r r r 2 2 0000 er er ey (2( e yx x 22 2 0 0 2/ / 2 2 der er 2/ / rdrrdr 2 rdrrdr 2 r 3- 1 (P140.B5) 510, 2 , 1 0 1 i i i Xi .10, 2 , 1,iXi 1021 XXXX ) 10 9 (1 (10)(10)( 20 11021 XEXXXEEX (P157.A4.B1.2) A4. . 5 , 2 , 1 0 1 i i
14、 i Xi . 5 , 2 , 1,iXi 521 XXXX 2 1 10 1 5)(5)( 1521 XEXXXEEX 8143 . 0 220 95 10 1 10 1 20 10 9 10 1 5 10 1 10 1 120 10 9 10 1 5 )(20)( )(20)( )(2)()( 2 100 2 10 21 21215 5 1 22115 5 1 51 5 5 1 521 C C XXP EXEXXXEXD EXXEXXEXD EXXEXXEXDXXXDDX i i jjii jii B1. 1- 10 1 2 3 4 5 6 7 8 9 10 0.1 0.10.10.10.
15、10.10.10.10.10.1 X 10 5 3 2 2 1 1 1 1 1 X X 1 2 3 5 10 P 0.5 0.2 0.1 0.1 0.1 EX=2.7 B2.P(A)=sP(B)=t X Y0 1 i P 0 P11 P12 s1 1 P21 P22 s j P t1t (X,Y)=00=COV(X,Y)=EXY- EXEY=1 1 p22- s t p22=s tp12=(1- s) tp21=s (1- t)p11=(1- s) (1- t) XY 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 0.10.10.10.10.10.1
16、0.10.10.10.10.10.10.10.10.10.1 10 5 3 2 2 1 1 1 1 1 10 5 3 2 2 1 1 1 1 1 X 1 2 3 5 10 X 1 2 3 5 10 P 0.5 0.2 0.1 0.1 0.1 P 0.5 0.2 0.1 0.1 0.1 (P167.B1.2.3.4) 1. Xr 5 . 9,10),05. 0 ,200(DXEXBX 9 . 0rXP 945.1328 . 1 5 . 9 10 9 . 0) 5 . 9 10 (9 . 0 5 . 9 10 5 . 9 10 r rrrX P 14 2. 10000X 64.59,60),006. 0 ,10000(DXEXBX (1)P
