%!PS-Adobe-2.0 %%Creator: dvips(k) 5.95b Copyright 2005 Radical Eye Software %%Title: C:/Dokumente/Lehre/WR2008/Blatt13/blatt13.dvi %%CreationDate: Thu Jan 22 18:55:45 2009 %%Pages: 1 %%PageOrder: Ascend %%BoundingBox: 0 0 595 842 %%DocumentFonts: SFRM1000 SFBX1440 SFRM1440 SFBX1000 CMSY10 CMMI10 CMMI7 %%+ CMR10 CMR7 CMEX10 MSBM10 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: "C:\Programme\MiKTeX 2.5\miktex\bin\dvips.exe" %+ C:/Dokumente/Lehre/WR2008/Blatt13/blatt13.dvi %DVIPSParameters: dpi=600 %DVIPSSource: TeX output 2009.01.22:1855 %%BeginProcSet: tex.pro 0 0 %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S /BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: cm-super-t1.enc 0 0 % This file is generated from `T1uni.map' and `glyphlist.txt', `gl-other.txt' % % LIGKERN hyphen hyphen =: endash ; 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR10 %!PS-AdobeFont-1.1: CMR10 1.00B %%CreationDate: 1992 Feb 19 19:54:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 10 /Omega put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put dup 58 /colon put dup 61 /equal put dup 97 /a put dup 103 /g put dup 108 /l put dup 109 /m put dup 111 /o put dup 120 /x put readonly def /FontBBox{-251 -250 1009 969}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI7 %!PS-AdobeFont-1.1: CMMI7 1.100 %%CreationDate: 1996 Jul 23 07:53:53 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 58 /period put dup 78 /N put dup 105 /i put dup 107 /k put dup 110 /n put dup 116 /t put readonly def /FontBBox{0 -250 1171 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D77639DF1232A4D6233A9CAF69B151DFD33F C0962EAC6E3EBFB8AD256A3C654EAAF9A50C51BC6FA90B61B60401C235AFAB7B 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6F018EDF3FD30C9CEDF6871439F8DC530D5A4E977CF1F361D882507F3A29544C BB10339D5246E27F57417988374F3FA5FA2E0EE9A506E712B2383DFD4C1972F6 011A23D7DD81FA57F9F8CB543FAD0C83CA8D77113AA9A0E84A9BFE11D0F4E78A DE87AD361FC10FD1487E34980D4B9EB51278592058093525EB6EFC9FC916C785 A82B4C559D6100E78832FEC7A59D737FFB6CB70D80C45E842C96F35F003243AB 26AF42F6AFD28E070868640F23FF795A2DB210BE1CE9FE67A544CB538D5C7C93 E9E549A7997EAB5732F0395CC153C448D25E6A9CAE821DCEBAD10C783E0DD9AF C212B0FC54CD6586E18110BFDCA38071BE7FB83B6D88F742089E8CF52907462A CC92B4B3F49C64D21633B1B12C06C9C7208CA8792F78C140311CF606B2047ACC 0257006560B40363F24FE401121D85A22D69A98E169FD9CD2339BAF7A820B651 7394357C6C7E0B80F936BAB2F4DC3FC2190024D696390DF42707084FA2A7A90C A04443053285B188E2A06EBF4B8D47340B2DA60B0C434E5CE12A7B9C93633556 4A942D1B87F1D27B956C8C17B63EC6C101F5E433D5 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI10 %!PS-AdobeFont-1.1: CMMI10 1.100 %%CreationDate: 1996 Jul 23 07:53:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 22 /mu put dup 27 /sigma put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 78 /N put dup 80 /P put dup 83 /S put dup 88 /X put dup 103 /g put dup 108 /l put dup 110 /n put dup 111 /o put dup 116 /t put readonly def /FontBBox{-32 -250 1048 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 1 /periodcentered put dup 20 /lessequal put dup 21 /greaterequal put dup 33 /arrowright put dup 49 /infinity put dup 102 /braceleft put dup 103 /braceright put dup 106 /bar put dup 112 /radical put readonly def /FontBBox{-29 -960 1116 775}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964 7D53359E51216774A4EAA1E2B58EC3176BD1184A633B951372B4198D4E8C5EF4 A213ACB58AA0A658908035BF2ED8531779838A960DFE2B27EA49C37156989C85 E21B3ABF72E39A89232CD9F4237FC80C9E64E8425AA3BEF7DED60B122A52922A 221A37D9A807DD01161779DDE7D31FF2B87F97C73D63EECDDA4C49501773468A 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b(Zeigen)26 b(Sie,)i(dass)f Ff(S)864 3285 y Fc(2)859 3336 y Fe(n)948 3268 y Fc(f)5 b Fe(:)p Fc(s)p Fe(:)927 3315 y Fg(\000)-14 b(!)23 b Ff(\033)1134 3285 y Fc(2)1199 3315 y Fk(f\374r)28 b Ff(n)23 b Fg(!)g(1)p Fk(.)0 3564 y Fh(Aufgab)s(e)32 b(3)145 b Fk(\(2)28 b(+)f(2)g(+)g(2)g(Punkte\))0 3688 y(Seien)h Ff(X)286 3700 y Fc(1)323 3688 y Ff(;)14 b(X)429 3700 y Fc(2)466 3688 y Ff(;)g(:)g(:)g(:)23 b Fd(:)g(\012)h Fg(\000)-15 b(!)24 b Fd(\(0)p Ff(;)14 b Fg(1)p Fd(\))28 b Fk(unabh\344ngige)e(und)i(iden)n(tisc)n(h)g(v)n(erteilte)f(Zufallsv) -5 b(ariablen)26 b(mit)j Fa(E)p Fg(j)p Ff(X)3384 3700 y Fc(1)3421 3688 y Fg(j)23 b Ff(<)g Fg(1)p Fk(.)0 3787 y(Au\377erdem)k(sei)g Ff(\026)d Fd(=)e Fa(E)p Ff(X)804 3799 y Fc(1)842 3787 y Fk(,)27 b Ff(S)943 3799 y Fe(n)1011 3787 y Fd(=)c Ff(X)1168 3799 y Fc(1)1224 3787 y Fd(+)18 b Fg(\001)c(\001)g(\001)k Fd(+)g Ff(X)1574 3799 y Fe(n)1647 3787 y Fk(und)28 b Ff(N)9 b Fd(\()p Ff(t)p Fd(\))23 b(=)g(max)o Fg(f)p Ff(n)f Fd(:)i Ff(S)2460 3799 y Fe(n)2528 3787 y 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