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Let X be a random variable with mean . Show that if E 4 (X

Fundamentals of Probability, with Stochastic Processes | 3rd Edition | ISBN: 9780131453401 | Authors: Saeed Ghahramani ISBN: 9780131453401 223

Solution for problem 15 Chapter 11.3

Fundamentals of Probability, with Stochastic Processes | 3rd Edition

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Fundamentals of Probability, with Stochastic Processes | 3rd Edition | ISBN: 9780131453401 | Authors: Saeed Ghahramani

Fundamentals of Probability, with Stochastic Processes | 3rd Edition

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Problem 15

Let X be a random variable with mean . Show that if E 4 (X )2n 5 < , then for > 0, P ! |X | " 1 2n E 4 (X )2n5 .

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Introductory​ S ​ tatistics Chapter​ ​1: Lecture​ ​August​ ​23rd,​ ​2017 →​ ​1.1​ ​Terminology​ ​← What​ i ​ s​ ​Statistics - There​ ​is​ ​no​ ​unique​ ​or​ ​general​ ​definition​ ​of​ ​Statistics.​ ​Few​ ​of​ ​the​ ​most accepted/used​ ​definitions​ ​of​ ​statistics​ ​are​ ​given​ ​below: - A​ ​science​ ​of​ ​collecting,​ ​interpreting,​ ​and​ ​representing​ ​data. - Statistics​ ​is​ ​a​ ​way​ ​to​ ​collect​ ​information​ ​out​ ​of​ ​data. - Statistics​ ​is​ ​the​ ​study​ ​of​ ​how​ ​to​ ​collect,​ ​organize,​ ​analyze​ ​and interpret​ ​numerical​ a ​ nd/or​ ​categorical​ i ​ nformation. - A​ ​language,​ ​a​ ​mechanism​ ​for​ ​creating​ ​and​ ​communicating

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Chapter 11.3, Problem 15 is Solved
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Textbook: Fundamentals of Probability, with Stochastic Processes
Edition: 3
Author: Saeed Ghahramani
ISBN: 9780131453401

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Let X be a random variable with mean . Show that if E 4 (X