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% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
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cleartomark
%%EndFont 
%%BeginFont: CMMI5
%!PS-AdobeFont-1.1: CMMI5 1.100
%%CreationDate: 1996 Aug 02 08:21:10
% 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 (CMMI5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI5 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 109 /m put
readonly def
/FontBBox{37 -250 1349 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR5
%!PS-AdobeFont-1.1: CMR5 1.00B
%%CreationDate: 1992 Feb 19 19:55:02
% 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 (CMR5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR5 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 49 /one put
dup 50 /two put
readonly def
/FontBBox{-341 -250 1304 965}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 85 /U put
dup 86 /V put
dup 101 /e put
dup 105 /i put
dup 109 /m put
dup 110 /n put
dup 120 /x 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
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dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 56 /eight put
readonly def
/FontBBox{-27 -250 1122 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 40 /parenleft put
dup 41 /parenright put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 61 /equal put
dup 97 /a put
dup 105 /i put
dup 109 /m put
dup 110 /n put
dup 120 /x put
readonly def
/FontBBox{-251 -250 1009 969}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 58 /period put
dup 59 /comma put
dup 60 /less put
dup 70 /F put
dup 78 /N put
dup 85 /U put
dup 86 /V put
dup 88 /X put
dup 89 /Y put
dup 101 /e put
dup 102 /f put
dup 105 /i put
dup 109 /m put
dup 110 /n put
dup 112 /p put
dup 113 /q 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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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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3028 y(Zeigen)f(Sie)h(mittels)g(Induktion,)g(dass)f(die)h(Summe)h(v)n
(on)e Fj(n)g Fn(unabh\344ngigen)g(p)r(oisson)n(v)n(erteilten)f
(Zufallsv)-5 b(ariablen)0 3128 y(wieder)20 b(p)r(oisson)n(v)n(erteilt)e
(ist,)i(w)n(ob)r(ei)g(die)g(einzelnen)h(P)n(arameter)d(nic)n(h)n(t)i
(not)n(w)n(endigerw)n(eise)e(iden)n(tisc)n(h)i(sein)g(m)n(\374ssen.)0
3401 y Fk(Aufgab)s(e)32 b(3)145 b Fn(\(4)28 b(Punkte\))0
3524 y(Eine)h(M\374nze)g(wird)g Fj(N)38 b Fn(mal)28 b(gew)n(orfen,)g(w)
n(ob)r(ei)g Fj(N)34 b Fd(\030)25 b Fn(P)n(oi)o Fi(\()p
Fj(\025)p Fi(\))p Fn(.)30 b(Die)g(W)-7 b(ahrsc)n(heinlic)n(hk)n(eit)27
b(f\374r)i(K)n(opf)f(sei)h Fj(p)f Fn(und)h(f\374r)0 3624
y(Zahl)34 b Fj(q)j Fi(=)c(1)22 b Fd(\000)h Fj(p)p Fn(.)34
b(Seien)g Fj(X)40 b Fn(bzw.)34 b Fj(Y)53 b Fn(die)35
b(Anzahlen)f(v)n(on)f(V)-7 b(ersuc)n(hen)33 b(mit)i(K)n(opf)e(bzw.)i
(Zahl.)e(Sind)i Fj(X)40 b Fn(und)35 b Fj(Y)0 3723 y Fn(unabh\344ngig?)0
3972 y Fk(Aufgab)s(e)d(4)145 b Fn(\(4)28 b(+)f(2)g(+)g(1)g(Punkte\))0
4096 y(Sei)h Fj(X)h Fi(=)23 b(\()p Fj(X)421 4108 y Fh(1)458
4096 y Fj(;)14 b(X)564 4108 y Fh(2)601 4096 y Fi(\))28
b Fn(ein)g(Zufallsv)n(ektor)d(mit)k(gemeinsamer)d(Dic)n(h)n(te)672
4295 y Fj(f)713 4307 y Fh(1)750 4295 y Fi(\()p Fj(x)829
4307 y Fh(1)867 4295 y Fj(;)14 b(x)951 4307 y Fh(2)988
4295 y Fi(\))24 b(=)1131 4178 y Fc(\032)1342 4209 y Fh(2)p
1245 4223 227 4 v 1245 4271 a(4)p Fg(e)1309 4254 y Fb(\000)p
Ff(1)1387 4271 y Fa(\000)p Fh(1)1496 4242 y Fj(x)1543
4254 y Fh(1)1580 4242 y Fj(e)1619 4212 y Fa(\000)p Fg(x)1709
4220 y Ff(2)1842 4242 y Fj(;)14 b Fn(falls)41 b Fi(0)23
b Fd(\024)f Fj(x)2265 4254 y Fh(1)2326 4242 y Fd(\024)h
Fi(1)14 b Fj(;)g Fi(0)21 b Fj(<)i(x)2705 4254 y Fh(2)2766
4242 y Fd(\024)g Fj(x)2901 4254 y Fh(1)1469 4347 y Fi(0)740
b Fj(;)14 b Fn(sonst)0 4495 y(bzw.)28 b Fj(Y)41 b Fi(=)23
b(\()p Fj(Y)451 4507 y Fh(1)489 4495 y Fj(;)14 b(Y)574
4507 y Fh(2)611 4495 y Fi(\))28 b Fn(mit)g(gemeinsamer)e(Dic)n(h)n(te)
934 4692 y Fj(f)975 4704 y Fh(2)1012 4692 y Fi(\()p Fj(y)1085
4704 y Fh(1)1122 4692 y Fj(;)14 b(y)1200 4704 y Fh(2)1237
4692 y Fi(\))24 b(=)1380 4575 y Fc(\032)1498 4641 y Fi(1)96
b Fj(;)14 b Fn(falls)41 b Fi(0)23 b Fd(\024)f Fj(y)2053
4653 y Fh(1)2113 4641 y Fd(\024)h Fi(1)14 b Fj(;)g Fi(0)22
b Fd(\024)h Fj(y)2487 4653 y Fh(2)2547 4641 y Fd(\024)f
Fi(1)1491 4741 y(0)484 b Fj(;)14 b Fn(sonst)60 4888 y(\(a\))42
b(Sind)28 b Fj(X)466 4900 y Fh(1)530 4888 y Fn(und)g
Fj(X)765 4900 y Fh(2)830 4888 y Fn(bzw.)g Fj(Y)1072 4900
y Fh(1)1137 4888 y Fn(und)g Fj(Y)1351 4900 y Fh(2)1416
4888 y Fn(unabh\344ngig?)55 5038 y(\(b\))43 b(Bestimmen)27
b(Sie)h(die)g(gemeinsame)e(V)-7 b(erteilungsfunktion)28
b Fj(F)2161 5050 y Fh(2)2198 5038 y Fi(\()p Fj(y)2271
5050 y Fh(1)2309 5038 y Fj(;)14 b(y)2387 5050 y Fh(2)2424
5038 y Fi(\))28 b Fn(v)n(on)e Fj(Y)2688 5050 y Fh(1)2753
5038 y Fn(und)i Fj(Y)2967 5050 y Fh(2)3005 5038 y Fn(.)65
5187 y(\(c\))42 b(Bestimmen)27 b(Sie)h(die)g(b)r(edingte)g(Dic)n(h)n
(te)f(v)n(on)g Fj(X)1734 5199 y Fh(2)1799 5187 y Fn(un)n(ter)g(der)g
(Bedingung)g Fd(f)p Fj(X)2686 5199 y Fh(1)2746 5187 y
Fi(=)22 b Fj(x)2880 5199 y Fh(1)2918 5187 y Fd(g)27 b
Fn(f\374r)h Fi(0)22 b Fj(<)h(x)3318 5199 y Fh(1)3379
5187 y Fd(\024)f Fi(1)p Fn(.)0 5436 y Fk(Aufgab)s(e)32
b(5)145 b Fn(\(3)28 b(Punkte\))0 5559 y(Seien)21 b Fj(X)28
b Fn(und)22 b Fj(Y)40 b Fn(unabh\344ngig)20 b(und)h(iden)n(tisc)n(h)g
(v)n(erteilt)g(mit)h(stetiger)f(Dic)n(h)n(te)g Fj(f)30
b Fn(und)22 b(V)-7 b(erteilungsfunktion)21 b Fj(F)12
b Fn(.)21 b(Be-)0 5659 y(stimmen)26 b(Sie)g(die)f(V)-7
b(erteilungsfunktionen)26 b Fj(F)1471 5671 y Fg(U)1552
5659 y Fn(bzw.)g Fj(F)1797 5671 y Fg(V)1880 5659 y Fn(und)g(die)g(Dic)n
(h)n(ten)f Fj(f)2522 5671 y Fg(U)2603 5659 y Fn(bzw.)h
Fj(f)2836 5671 y Fg(V)2919 5659 y Fn(v)n(on)e Fj(U)32
b Fi(=)23 b(max)o Fd(f)p Fj(X)r(;)14 b(Y)k Fd(g)0 5759
y Fn(bzw.)28 b Fj(V)42 b Fi(=)22 b(min)q Fd(f)p Fj(X)r(;)14
b(Y)j Fd(g)p Fn(.)p eop end
%%Trailer

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