%!PS-Adobe-2.0 %%Creator: dvips(k) 5.95b Copyright 2005 Radical Eye Software %%Title: blatt7.dvi %%CreationDate: Fri Nov 28 09:36:59 2008 %%Pages: 1 %%PageOrder: Ascend %%BoundingBox: 0 0 595 842 %%DocumentFonts: SFRM1000 SFBX1440 SFRM1440 SFBX1000 CMR10 CMMI10 CMR7 %%+ CMMI7 CMEX10 CMSY10 MSBM10 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -D600 blatt7.dvi %DVIPSParameters: dpi=600 %DVIPSSource: TeX output 2008.11.28:0936 %%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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All Rights Reserved) readonly def /FullName (CMEX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMEX10 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 56 /bracelefttp put dup 58 /braceleftbt put dup 60 /braceleftmid put readonly def /FontBBox{-24 -2960 1454 772}readonly def currentdict end currentfile eexec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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 59 /comma put dup 88 /X put dup 89 /Y put readonly def /FontBBox{0 -250 1171 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR7 %!PS-AdobeFont-1.1: CMR7 1.0 %%CreationDate: 1991 Aug 20 16:39:21 % 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 (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 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 40 /parenleft put dup 41 /parenright put dup 49 /one put dup 50 /two put readonly def /FontBBox{-27 -250 1122 750}readonly def currentdict end currentfile eexec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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 21 /lambda put dup 22 /mu put dup 27 /sigma put dup 58 /period put dup 59 /comma put dup 61 /slash put dup 62 /greater put dup 78 /N put dup 85 /U put dup 88 /X put dup 89 /Y put dup 101 /e put dup 102 /f put dup 120 /x put dup 121 /y put readonly def /FontBBox{-32 -250 1048 750}readonly def currentdict end currentfile eexec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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. 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Fg(\()p Ff(\025)p Fg(\))p Fk(-v)n(erteilt)h(f\374r)e(ein)h Ff(\025)23 b(>)g Fg(0)p Fk(.)60 1574 y(\(a\))42 b(Wie)29 b(gro\377)e(ist)i(die)g(W)-7 b(ahrsc)n(heinlic)n(hk)n(eit,)28 b(dass)g(der)g(Kunde)h(v)n(or)f(Ihnen) h(mindestens)g(dopp)r(elt)g(so)g(viel)f(Zeit)208 1674 y(am)f(Sc)n(halter)g(v)n(erbringt)f(wie)h(Sie?)55 1823 y(\(b\))43 b(W)-7 b(enn)30 b(der)f(Kunde)g(v)n(or)g(Ihnen)g(5)h(Min)n (uten)g(am)f(Sc)n(halter)g(b)r(en\366tigte,)g(wie)h(gro\377)d(ist)j (die)g(W)-7 b(ahrsc)n(heinlic)n(h-)208 1923 y(k)n(eit,)27 b(dass)g(Sie)g(mehr)h(als)f(5)g(Min)n(uten)h(am)f(Sc)n(halter)g (stehen?)0 2172 y Fh(Aufgab)s(e)32 b(2)145 b Fk(\(2)28 b(+)f(2)g(+)g(2)g(+)h(2)f(Punkte\))0 2295 y(Die)h(Zufallsv)-5 b(ariablen)26 b Ff(X)34 b Fk(und)28 b Ff(Y)46 b Fk(b)r(esitzen)28 b(die)g(gemeinsame)f(Dic)n(h)n(te)938 2573 y Ff(f)979 2588 y Fe(\()p Fd(X)q(;Y)14 b Fe(\))1163 2573 y Fg(\()p Ff(x;)g(y)s Fg(\))23 b(=)1466 2402 y Fc(8)1466 2477 y(<)1466 2627 y(:)1581 2507 y Fg(\()p Ff(x)d Fg(+)1773 2474 y Fe(1)p 1773 2488 34 4 v 1773 2536 a(2)1816 2507 y Fg(\)\()p Ff(y)h Fg(+)2035 2474 y Fe(1)p 2035 2488 V 2035 2536 a(2)2078 2507 y Fg(\))p Ff(;)84 b Fg(0)22 b Fb(\024)h Ff(x;)14 b(y)26 b Fb(\024)d Fg(1)p Ff(;)2069 2656 y Fg(0)p Ff(;)206 b Fk(sonst)p Ff(:)60 2855 y Fk(\(a\))42 b(Bestimmen)27 b(Sie)h(die)g(Dic)n(h)n(te)f(v)n(on)g Ff(X)e Fb(\001)18 b Ff(Y)h Fk(.)55 3004 y(\(b\))43 b(Bestimmen)27 b(Sie)h(die)g(Dic)n(h)n (te)f(v)n(on)g Ff(X=)5 b(Y)17 b Fk(.)65 3154 y(\(c\))42 b(Sei)24 b Ff(U)33 b Fk(eine)24 b(auf)g(dem)g(In)n(terv)-5 b(all)23 b Fg(\(0)p Ff(;)14 b Fg(1\))24 b Fk(gleic)n(h)n(v)n(erteilte)e (Zufallsv)-5 b(ariable.)23 b(Bestimmen)h(Sie)g(die)g(Dic)n(h)n(ten)g(v) n(on)208 3253 y Ff(Y)41 b Fg(=)23 b Fb(\000)p Fg(\(1)p Ff(=\025)p Fg(\))14 b(log)f Ff(U)37 b Fk(f\374r)27 b Ff(\025)d(>)f Fg(0)k Fk(und)h(v)n(on)f Ff(U)1623 3223 y Fe(2)1660 3253 y Fk(.)55 3403 y(\(d\))43 b(Sei)27 b Ff(X)j Fb(\030)22 b Ff(N)9 b Fg(\(0)p Ff(;)14 b Fg(1\))p Fk(.)27 b(Bestimmen)h(Sie)g(die)f(Dic)n(h)n(te)h(v)n(on)f Ff(Y)42 b Fg(=)22 b Ff(e)2173 3373 y Fd(X)2236 3403 y Fk(.)0 3652 y Fh(Aufgab)s(e)32 b(3)145 b Fk(\(3)28 b(Punkte\))0 3763 y(Zeigen)i(Sie,)h(dass)g(die)g(absolutstetigen)f(Zufallsv)-5 b(ariablen)30 b Ff(X)37 b Fk(und)31 b Fb(\000)p Ff(X)37 b Fk(genau)31 b(dann)f(dieselb)r(e)i(V)-7 b(erteilung)30 b(b)r(e-)0 3863 y(sitzen,)e(w)n(enn)f Ff(f)514 3875 y Fd(X)577 3863 y Fg(\()p Ff(x)p Fg(\))d(=)f Ff(f)841 3875 y Fd(X)903 3863 y Fg(\()p Fb(\000)p Ff(x)p Fg(\))29 b Fk(f\374r)e(fast)h(alle)f Ff(x)c Fb(2)h Fa(R)k Fk(gilt.)0 4112 y Fh(Aufgab)s(e)k(4)145 b Fk(\(2)28 b(+)f(2)g(+)g(1)g(Punkte\))0 4235 y(Das)40 b(Gewic)n(h)n(t)g(leerer)f(Flasc)n(hen)g(sei)h(normalv)n (erteilt)f(mit)h(den)h(P)n(arametern)e Ff(\026)44 b Fg(=)f(100)53 b Fk(und)40 b Ff(\033)3201 4205 y Fe(2)3283 4235 y Fg(=)k(25)p Fk(.)39 b(Die)0 4335 y(Abf\374llung)22 b(wird)g(folgenderma\377en)e (durc)n(hgef\374hrt:)h(die)g(Flasc)n(hen)g(w)n(erden)g(auf)h(eine)f(W) -7 b(aage)21 b(gestellt.)g(Die)h(Zufuhr)0 4435 y(wird)i(dann)h (abgestellt,)f(w)n(enn)h(das)f(Gesam)n(tgewic)n(h)n(t)f Fg(610)h Fk(erreic)n(h)n(t)f(wird.)i(Die)g(Flasc)n(hen)f(seien)g(so)g (gro\377,)f(dass)h(das)0 4534 y(\334b)r(erlaufen)k(praktisc)n(h)e (ausgesc)n(hlossen)f(w)n(erden)i(k)-5 b(ann.)60 4684 y(\(a\))42 b(W)-7 b(elc)n(he)34 b(V)-7 b(erteilung)35 b(b)r(esitzt)g(die)g(Zufallsv)-5 b(ariable)33 b(des)h(F\374llgewic)n(h) n(ts,)g(falls)h(das)f(Gesam)n(tgewic)n(h)n(t)f(exakt)208 4783 y(610)26 b(ist?)55 4933 y(\(b\))43 b(Mit)29 b(w)n(elc)n(her)e(W)-7 b(ahrsc)n(heinlic)n(hk)n(eit)27 b(b)r(etr\344gt)i(der)f(Inhalt)h (mindestens)f Fg(500)p Fk(?)g(\(Hin)n(w)n(eis:)g Fg(\010\(1\))d(=)g(0)p Ff(:)p Fg(841345)p Fk(,)208 5032 y Fg(\010\(2\))e(=)f(0)p Ff(:)p Fg(977250)p Fk(,)j Fg(\010\(3\))e(=)f(0)p Ff(:)p Fg(998650)p Fk(\))65 5182 y(\(c\))42 b(Bei)33 b(Erreic)n(hen)h(des)g (Gesam)n(tgewic)n(h)n(ts)e Fg(610)46 b Fk(k)-5 b(ann)34 b(im)h(Allgemeinen)f(der)g(Zulauf)g(nic)n(h)n(t)g(exakt)f(gestoppt)208 5281 y(w)n(erden.)i(Der)i(F)-7 b(ehler)36 b(des)h(Gesam)n(tgewic)n(h)n (ts)d(der)j(Flasc)n(he)e(sei)i Fg(N\(0)p Ff(;)14 b Fg(2\))p Fk(-v)n(erteilt)35 b(und)i(unabh\344ngig)e(v)n(om)208 5381 y(Flasc)n(hengewic)n(h)n(t.)26 b(W)-7 b(elc)n(he)27 b(V)-7 b(erteilung)28 b(hat)f(in)h(diesem)f(F)-7 b(all)28 b(das)f(F\374llgewic)n(h)n(t?)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF