24 Pages

CW2

Course: MAT 3001, Fall 2009
School: East Los Angeles College
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Word Count: 15312

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Coursehero >> California >> East Los Angeles College >> MAT 3001

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All Rights Reserved) readonly def /FullName (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 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 97 /a put readonly def /FontBBox{-24 -250 1110 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI12 %!PS-AdobeFont-1.1: CMMI12 1.100 %%CreationDate: 1996 Jul 27 08:57:55 % 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 (CMMI12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI12 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 28 /tau put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 66 /B put dup 69 /E put dup 78 /N put dup 80 /P put dup 85 /U put dup 88 /X put dup 89 /Y put dup 97 /a put dup 98 /b put dup 99 /c put dup 115 /s put dup 116 /t put dup 121 /y put readonly def /FontBBox{-30 -250 1026 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D6A8F05B47AF95EF28A9C561DBDC98C47CF5 5250011D19E9366EB6FD153D3A100CAA6212E3D5D93990737F8D326D347B7EDC 4391C9DF440285B8FC159D0E98D4258FC57892DCC57F7903449E07914FBE9E67 3C15C2153C061EB541F66C11E7EE77D5D77C0B11E1AC55101DA976CCACAB6993 EED1406FBB7FF30EAC9E90B90B2AF4EC7C273CA32F11A5C1426FF641B4A2FB2F 4E68635C93DB835737567FAF8471CBC05078DCD4E40E25A2F4E5AF46C234CF59 2A1CE8F39E1BA1B2A594355637E474167EAD4D97D51AF0A899B44387E1FD933A 323AFDA6BA740534A510B4705C0A15647AFBF3E53A82BF320DD96753639BE49C 2F79A1988863EF977B800C9DB5B42039C23EB86953713F730E03EA22FF7BB2C1 D97D33FD77B1BDCC2A60B12CF7805CFC90C5B914C0F30A673DF9587F93E47CEA 5932DD1930560C4F0D97547BCD805D6D854455B13A4D7382A22F562D7C55041F 0FD294BDAA1834820F894265A667E5C97D95FF152531EF97258F56374502865D A1E7C0C5FB7C6FB7D3C43FEB3431095A59FBF6F61CEC6D6DEE09F4EB0FD70D77 2A8B0A4984C6120293F6B947944BE23259F6EB64303D627353163B6505FC8A60 00681F7A3968B6CBB49E0420A691258F5E7B07B417157803FCBE9B9FB1F80FD8 CA0A265B570BA294792DD2FC75CE2C83DCC225B902551DBD11E687EAC6E85D2B 02C28359A40AE66A6A6A8862CB17815B41E280313F0EFAA9981755611F7F683D 35603984D60BB0C772054355A97A5E03C689E23B04DA79080CE4579CC90EF38B 1A64CDD92B907AE83192C3C46C5FC40BB412F6656DC6349E6D29B5936DCE94CB 98E3B465FFF7574095F57BB3750F1A55F20456933FCA64CC1B060E260782BEF6 721D38BF65DF1F1DA5439DBC802B4A9D803BD635C05B9ACA4D26C28195A1F4C4 CC623B30B076D4861E89B93E2CF26F6DF07199C03BA5466FA3EFBD7F77EFE06F 597F266D95A745823A0B0C6B5B845A30162575A19CFD35A58D32B7D5D0B5EC31 7437135C58CAA9B7B8DD2F0B8D82752DF19FF85F3ABBCA8FA903A99050332212 CD062A6B96FB18552EDB51B9918709BD5B55AB8B57D38DC282390E735CDB7DFD 57D62B557180CA45189BD8A3B135FE7050A6DD93D6CB6FECC60F43B64454A8FD E2E58925A0C9440DC034DAD9C19665EBAA36D35161B3EB6C4035E27B1E2CD553 871077DF9C6A6CD59834A853BBD985B34755F069B7326466D56FCBF266295BE9 2A624BCE6EE9EEF09589FEAD41472B357C57195B410F7428C9B538574609C27B 61C68E82CDB29DF8CEFD8418578BC0513E2FA6DC5D8C20501F30F7FCF208ADCF 057578194EC04224238F71836827211B879B0652D79EDC835375ED3922D9EF6B DCCC0007432710A15A4D9C24B808D429A97AE5772F55473E7D9402419FC87721 710657DE2C6AE6027D1CC0B252FF9ED5F0D2EBB74ED35EFD6E89E70322C72CB2 6CEC6AA0A9196E604BAA08C8DCFF798F2ABFC4F3539392985C4CB324B00078EA 8C238AADD1C81D07C5E2043E19D1EC59622124E9DF404E6B47751D1E66DE7C28 5C291269248EC598904841FD42EC3E08AE30842FCF3B0E4E69B1ADA04C0BB922 9ABFF386E03D9C1C9BA3F119A8D3E1CA21561EF071E865A1D375A952EC8D65E6 17F6D621053402A292D62A5097617A900BD838635383551D7B2A15BE1AB5F2AB E69B4FD8DA653DB299253D948D77DCFD66DEAD46312E9EDFA276E9D39653E209 B718C3D40CD4DDC857F4EFB2D2F2DC688076E6C568D17DF3576EE5B9BCD53B1E 2E411AA1CD2F132BCDDAF220762B599284C6AFA88CDB23188E8D58A393DDA90C 208FEDC2E5C161525DDF55D5349E19B458F1F3C28D12D82A457AF8E79BC21096 22CB47122F5C4C316FBFCE2099AF9499C30C037BBE3C04ED1AF68ECFBE003293 95BD6E274F16CC5B27AFDA321888136C33519C7685DA93B153F171260D9FEF4F DA1EBE35D930B916D446F35872FEB8A4DEAF2ECF9779A1BD41EB3CB618EA0965 CA446BF447AC20D14AE92E8437A4FBA17F41C9BF21D09FC7BE19811BB455F737 523530BDEBF3DBA90479A47637914B836378C7EA7FAAE9D881047099A13B2C7A B98E4502A20E87D8323AD186802D38AC00AB4A52A686B7094AF9E00F8610BDAB A01BE615777DD14CE8A07AE0894558EBACB9E952A2C7982BB528F13FC344380D 8EA7E1CBBC1BF3687ADEB1843B09DB68E62D58F79196CB046BF896F182A1E8CF FDB4E0836F279AD7A51E60446479ACEB9686CDC05E46FEF3531BE1A5A1371FDC 11AA9CFA444C39C9B11362ACB476DB74BE51E1F737ED806BF422BFAD47A6F0E0 06462AC8A6E9F29EC03F59AB432BD599BFE7ADC31DC9EA665159F7FCF7258C94 CEDA6F972FA4C215DFA3BEFAE13EE500A3596EBA9E2626345FFD3EB3F2C5E5CA A3A01FBCDA37EDA5204D6A214EF8D2C016E63DABCD3642E80C9A293379794738 5F325A8A4CB14A053578649EE43D0EDF59D91AF14C928651AAF0648E65C19433 B4724A4EBF2DBDFC655F43B114F1CECE33517C8320929018D4AC47AB5EE69FC6 CD9C332C71B4E455E59E892C5BD1157E52FC006028BBA9DBFCCA02E0D285DBB8 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR12 %!PS-AdobeFont-1.1: CMR12 1.0 %%CreationDate: 1991 Aug 20 16:38:05 % 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 (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR12 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 6 /Sigma put dup 12 /fi put dup 33 /exclam put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 59 /semicolon put dup 61 /equal put dup 63 /question put dup 65 /A put dup 67 /C put dup 69 /E put dup 71 /G put dup 73 /I put dup 76 /L put dup 77 /M put dup 78 /N put dup 80 /P put dup 81 /Q put dup 83 /S put dup 84 /T put dup 87 /W put dup 88 /X put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put readonly def /FontBBox{-34 -251 988 750}readonly def currentdict end currentfile eexec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East Los Angeles College - MAT - 3001
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East Los Angeles College - MAT - 3001
MAT3001 Advanced Stochastic Modelling, Spring 2009 Exercise Sheet 21.1 Let {B(t)} be a Brownian motion with variance parameter 4 . EvaluateP (B(7) < 3|B(2) = 5)andP (B(2) 3|B(7) = 5).2.Let {B(t)} be a standard Brownian motion. Evaluate
East Los Angeles College - MAT - 3001
%!PS-Adobe-2.0 %Creator: dvips(k) 5.95a Copyright 2005 Radical Eye Software %Title: Ex2.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 595 842 %DocumentFonts: CMBX12 CMR12 CMSY10 CMMI12 CMR8 CMMI8 CMSY8 %DocumentPaperSizes: a4 %EndComments %DVIPS
Salem State - GLS - 210
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East Los Angeles College - MAT - 3001
%!PS-Adobe-2.0 %Creator: dvips(k) 5.95a Copyright 2005 Radical Eye Software %Title: Ex3.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 595 842 %DocumentFonts: CMBX12 CMR12 CMMI12 CMSY10 CMR8 CMMI8 CMSY8 CMEX10 %DocumentPaperSizes: a4 %EndComments
East Los Angeles College - MAT - 3001
MAT 3001 Advanced Stochastic Modelling, Spring 2009 Exercise Sheet 41. Let B(t) denote a standard Brownian motion. Classify the functions a(t) and b(t) with b increasing and with b decreasing such that a(t)B(b(t) is Brownian motion.t 2. Let B 0 (t
East Los Angeles College - MAT - 3001
%!PS-Adobe-2.0 %Creator: dvips(k) 5.95a Copyright 2005 Radical Eye Software %Title: Ex4.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 595 842 %DocumentFonts: CMBX12 CMR12 CMMI12 CMR8 CMSY10 CMMI8 %DocumentPaperSizes: a4 %EndComments %DVIPSWebPag
East Los Angeles College - MAT - 3001
%!PS-Adobe-2.0 %Creator: dvips(k) 5.95a Copyright 2005 Radical Eye Software %Title: syllabus.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 595 842 %DocumentFonts: CMBX12 CMR12 CMSY10 CMMI12 %DocumentPaperSizes: a4 %EndComments %DVIPSWebPage: (ww
East Los Angeles College - MS - 203
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Salem State - GLS - 210
Introduction: A Brief Geologic history of the North ShoreDuring our excursions throughout the North Shore you'll note that the rocks are far different than those seen in western New Hampshire. We are in fact on the opposite side of the Iapetus Ocean
East Los Angeles College - MS - 203
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: CW1.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -Phirst2 -o CW1.ps CW1 %DVIPSP
East Los Angeles College - MS - 203
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East Los Angeles College - MS - 203
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: CW2.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -Phirst2 -o CW2.ps CW2 %DVIPSP
East Los Angeles College - MS - 203
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East Los Angeles College - MS - 203
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: CW3.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -Pholbein2 -o CW3.ps CW3 %DVIP
East Los Angeles College - MS - 203
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East Los Angeles College - MS - 203
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: Exercises.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -Pholbein2 -o Exercises.
East Los Angeles College - MS - 203
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: Ex2.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -Pholbein2 -o Ex2.ps Ex2 %DVIP
East Los Angeles College - MS - 203
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East Los Angeles College - MS - 203
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: Solns_Ex2.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -Pholbein2 -o Ex2S.ps So
East Los Angeles College - MS - 203
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East Los Angeles College - MS - 203
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: Mid.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -Pholbein2 -o Test.ps Mid %DVI
East Los Angeles College - MS - 235
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: CW1.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -Phirst2 -o CW1.ps CW1 %DVIPSP
East Los Angeles College - MS - 235
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East Los Angeles College - MS - 235
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: CW2.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -Phirst2 -o CW2.ps CW2 %DVIPSP
East Los Angeles College - MS - 235
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East Los Angeles College - MS - 235
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East Los Angeles College - MS - 235
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East Los Angeles College - MS - 235
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East Los Angeles College - MS - 235
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East Los Angeles College - MS - 235
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