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Chapter 4 Continuous Random Variables Chang-Su Kim Korea University These notes are modified from the files, provided by R. D. Yates and D. J. Goodman who are the authors of the textbook “Probability and Stochastic Processes,” and can be used only for the class KECE209(03) in Korea University.

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Page 1: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF

Chapter 4Continuous Random Variables

Chang-Su KimKorea University

These notes are modified from the files, provided by R. D. Yates and D. J. Goodman who are the authors of the textbook “Probability and Stochastic Processes,” and can be used only for the class KECE209(03) in Korea University.

Page 2: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 3: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 4: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 5: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 6: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 7: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 8: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 9: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 10: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 11: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 12: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 13: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 14: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 15: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 16: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 17: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 18: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 19: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 20: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 21: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 22: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 23: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 24: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 25: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 26: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 27: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 28: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 29: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 30: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 31: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 32: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 33: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 34: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 35: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 36: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 37: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 38: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 39: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 40: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 41: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 42: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 43: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 44: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 45: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 46: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 47: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 48: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 49: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 50: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 51: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 52: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF
Page 53: Chapter 4 Continuous Random Variables - Korea Universitymcl.korea.ac.kr/.../2016/03/Chap-4-Continous-Random-Variables.pdf · Chapter 4 Continuous Random Variables ... Sketch the PDF

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TOPIC 2 Random Variables. Discrete Random Variables Continuous Random Variables

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