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11 dict begin
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% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00) readonly def
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/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
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cleartomark
%%EndFont 
%%BeginFont: SFTI1000
%!FontType1-1.0: SFTI1000 0.3
%%CreationDate: Wed Sep 12 2001
% Copyright (c) 2001 Vladimir Volovich <vvv@vsu.ru>.
% See the file COPYING (GNU General Public License) for license conditions.
% Converted from METAFONT EC/TC and LH fonts:
% ecti1000, tcti1000, lati1000, lbti1000, lcti1000, rxti1000.
11 dict begin
/FontInfo 6 dict dup begin
/version (0.3) def
/FullName (Computer Modern Italic) def
/FamilyName (Computer Modern) def
/ItalicAngle -14.04 def
/isFixedPitch false def
/Weight (Medium) def
end readonly def
/FontName /SFTI1000 def
/Encoding StandardEncoding def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] def
/FontBBox{-95 -321 1415 932}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 99 /c put
dup 105 /i put
dup 110 /n put
readonly def
/FontBBox{0 -250 1171 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 19 /reflexsuperset put
dup 21 /greaterequal put
dup 26 /propersubset put
dup 50 /element put
dup 52 /triangle put
dup 69 /E put
dup 70 /F put
dup 91 /union put
dup 92 /intersection put
dup 102 /braceleft put
dup 103 /braceright put
dup 110 /backslash put
readonly def
/FontBBox{-29 -960 1116 775}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 27 /sigma put
dup 58 /period put
dup 59 /comma put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 80 /P put
dup 110 /n put
readonly def
/FontBBox{-32 -250 1048 750}readonly def
currentdict end
currentfile eexec
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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 52 /four put
dup 53 /five put
dup 58 /colon put
dup 61 /equal put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: SFBX1000
%!FontType1-1.0: SFBX1000 0.3
%%CreationDate: Wed Sep 12 2001
% Copyright (c) 2001 Vladimir Volovich <vvv@vsu.ru>.
% See the file COPYING (GNU General Public License) for license conditions.
% Converted from METAFONT EC/TC and LH fonts:
% ecbx1000, tcbx1000, labx1000, lbbx1000, lcbx1000, rxbx1000.
11 dict begin
/FontInfo 6 dict dup begin
/version (0.3) def
/FullName (Computer Modern Bold Extended) def
/FamilyName (Computer Modern) def
/ItalicAngle 0 def
/isFixedPitch false def
/Weight (Bold) def
end readonly def
/FontName /SFBX1000 def
/Encoding StandardEncoding def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] def
/FontBBox{-229 -316 1737 939}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: SFRM1440
%!FontType1-1.0: SFRM1440 0.3
%%CreationDate: Wed Sep 12 2001
% Copyright (c) 2001 Vladimir Volovich <vvv@vsu.ru>.
% See the file COPYING (GNU General Public License) for license conditions.
% Converted from METAFONT EC/TC and LH fonts:
% ecrm1440, tcrm1440, larm1440, lbrm1440, lcrm1440, rxrm1440.
11 dict begin
/FontInfo 6 dict dup begin
/version (0.3) def
/FullName (Computer Modern Roman) def
/FamilyName (Computer Modern) def
/ItalicAngle 0 def
/isFixedPitch false def
/Weight (Medium) def
end readonly def
/FontName /SFRM1440 def
/Encoding StandardEncoding def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] def
/FontBBox{-178 -319 1370 944}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: SFBX1440
%!FontType1-1.0: SFBX1440 0.3
%%CreationDate: Wed Sep 12 2001
% Copyright (c) 2001 Vladimir Volovich <vvv@vsu.ru>.
% See the file COPYING (GNU General Public License) for license conditions.
% Converted from METAFONT EC/TC and LH fonts:
% ecbx1440, tcbx1440, labx1440, lbbx1440, lcbx1440, rxbx1440.
11 dict begin
/FontInfo 6 dict dup begin
/version (0.3) def
/FullName (Computer Modern Bold Extended) def
/FamilyName (Computer Modern) def
/ItalicAngle 0 def
/isFixedPitch false def
/Weight (Bold) def
end readonly def
/FontName /SFBX1440 def
/Encoding StandardEncoding def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] def
/FontBBox{-218 -316 1652 915}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: SFRM1000
%!FontType1-1.0: SFRM1000 0.3
%%CreationDate: Wed Sep 12 2001
% Copyright (c) 2001 Vladimir Volovich <vvv@vsu.ru>.
% See the file COPYING (GNU General Public License) for license conditions.
% Converted from METAFONT EC/TC and LH fonts:
% ecrm1000, tcrm1000, larm1000, lbrm1000, lcrm1000, rxrm1000.
11 dict begin
/FontInfo 6 dict dup begin
/version (0.3) def
/FullName (Computer Modern Roman) def
/FamilyName (Computer Modern) def
/ItalicAngle 0 def
/isFixedPitch false def
/Weight (Medium) def
end readonly def
/FontName /SFRM1000 def
/Encoding StandardEncoding def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] def
/FontBBox{-189 -321 1456 937}readonly def
currentdict end
currentfile eexec
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y(Dipl.-Math.)g(o)r(ec.)f(Ralf)h(Thiedmann)2068 b(16.10.2008)0
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g(sollen\))e(zu)i(zw)m(eit)g(abgegeb)s(en)e(w)m(erden.)i(Es)f(ist)g
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(1)g(Punkte\))0 1314 y(Ein)c(tec)n(hnisc)n(hes)f(System)h(b)r(estehe)g
(aus)f(3)h(T)-7 b(eilsystemen,)22 b(die)h(in)g(einem)g(b)r(etrac)n(h)n
(teten)f(Zeitraum)g(zufallsb)r(edingt)0 1414 y(ausfallen)27
b(k)n(\366nnen)g(o)r(der)g(nic)n(h)n(t.)60 1563 y(\(a\))42
b(Geb)r(en)19 b(Sie)f(einen)h(geeigneten)f(Grundraum)g
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b(dab)r(ei)h(die)g(K)n(o)r(dierung)e(\0201\021)33 b(f\374r)28
b(Ausfall)f(und)h(\0200\021)34 b(f\374r)28 b(Nic)n(h)n(tausfall.)55
1812 y(\(b\))43 b(Betrac)n(h)n(ten)20 b(Sie)h(die)g(zuf\344lligen)g
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b(fallen)g(aus\021,)g Fg(B)27 b Fh(:)21 b Fl(\021Das)g(T)-7
b(eilsystem)208 1912 y(1)29 b(f\344llt)h(aus\021)36 b(und)30
b(b)r(estimmen)h(Sie)e Fg(A)21 b Ff(\\)f Fg(B)t(;)14
b(A)20 b Ff([)g Fg(B)t(;)14 b(A)21 b Ff(n)e Fg(B)t(;)14
b(A)2200 1882 y Fe(c)2264 1912 y Fl(als)29 b(T)-7 b(eilmengen)30
b(v)n(on)f Fh(\012)g Fl(und)i(form)n(ulieren)208 2012
y(Sie)c(diese)h(zuf\344lligen)f(Ereignisse)f(in)i(W)-7
b(orten.)65 2161 y(\(c\))42 b(Bestimmen)30 b(Sie)h(die)g(Ereignisse)f
Fg(C)k Fh(:)d Fl(\020Kein)f(T)-7 b(eilsystem)31 b(f\344llt)g(aus\021,)f
Fg(D)r Fl(:)g(\020H\366)r(c)n(hstens)g(1)h(T)-7 b(eilsystem)30
b(f\344llt)208 2261 y(aus\021,)c Fg(E)5 b Fl(:)28 b(\020Mindestens)f(1)
h(T)-7 b(eilsystem)27 b(f\344llt)h(aus\021)33 b(so)n(wie)27
b Fg(A)19 b Ff(\\)f Fg(E)33 b Fl(und)28 b Fg(E)c Ff(n)18
b Fg(B)t Fl(.)55 2410 y(\(d\))43 b(W)-7 b(elc)n(he)27
b(der)g(Ereignisse)g Fg(A;)14 b(B)t(;)g(C)q(;)g(D)30
b Fl(und)e Fg(E)33 b Fl(sind)28 b(paarw)n(eise)d(un)n(v)n(erein)n(bar?)
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b(=)469 2843 y Fc(T)552 2906 y Ff(fF)30 b Fh(:)23 b Ff(F)31
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3204 y(\(b\))43 b(Gegeb)r(en)27 b(sei)h(der)g(Grundraum)f
Fh(\012)h Fl(mit)g(den)g(T)-7 b(eilmengen)28 b Fg(A)c
Ff(\032)f Fg(B)28 b Ff(\032)23 b Fh(\012)28 b Fl(und)g(sei)g
Ff(E)i Fh(=)24 b Ff(f)p Fg(A;)14 b(B)t Ff(g)p Fl(.)27
b(Geb)r(en)h(Sie)208 3304 y(die)f(v)n(on)g Ff(E)35 b
Fl(erzeugte)27 b Fg(\033)s Fl(-Algebra)f Fg(\033)s Fh(\()p
Ff(E)7 b Fh(\))29 b Fl(an.)65 3454 y(\(c\))42 b(Sei)i
Fh(\(\012)p Fg(;)14 b(\033)s Fh(\()p Ff(E)7 b Fh(\))p
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Fh(4)p Fg(;)14 b Fb(P)p Fh(\()p Fg(B)t Fh(\))22 b(=)h(0)p
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Fg(;)14 b Ff(F)8 b Fg(;)14 b Fb(P)p Fh(\))k Fl(ein)g(b)r(eliebiger)g(W)
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b(jedes)h Fg(n)23 b Ff(\025)g Fh(1)k Fl(und)h(jede)g(F)-7
b(olge)27 b Fg(A)1215 4061 y Fa(1)1252 4049 y Fg(;)14
b(:::;)g(A)1457 4061 y Fe(n)1526 4049 y Ff(2)23 b(F)36
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4214 y Fc(\\)1035 4391 y Fe(i)p Fa(=1)1157 4293 y Fg(A)1219
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y Fi(Aufgab)s(e)32 b(4)145 b Fl(\(2)28 b(+)f(2)g(Punkte\))0
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b Ff(\\)h Fg(B)t Fh(\))14 b Fg(;)55 5186 y Fl(\(b\))43
b Fg(P)12 b Fh(\()p Fg(A)18 b Ff(\\)h Fg(B)t Fh(\))g
Ff(\000)f Fg(P)12 b Fh(\()p Fg(A)p Fh(\))p Fg(P)g Fh(\()p
Fg(B)t Fh(\))24 b(=)f Fg(P)12 b Fh(\()p Fg(A)1318 5156
y Fe(c)1352 5186 y Fh(\))p Fg(P)g Fh(\()p Fg(B)t Fh(\))19
b Ff(\000)f Fg(P)12 b Fh(\()p Fg(A)1841 5156 y Fe(c)1894
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%%Trailer

userdict /end-hook known{end-hook}if
%%EOF