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Let X have a Poisson distribution with parameter . Show

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye ISBN: 9780321629111 32

Solution for problem 90E Chapter 3

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 90E

Let X have a Poisson distribution with parameter ?. Show that E( X ) = ? directly from the definition of expected value.[Hint: The first term in the sum equals 0, and then x can be canceled. Now factor out m and show that what is left sums to 1.]

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Lecture 6: Random Variables 8.1 Random Variables -­ Definition: A random variable assigns a number to each outcome of a random circumstance, or, equivalently, a random variable assigns a number to each unit in a population. -­ Two broad classes of random variables: discrete random variables and continuous random variables. -­ Definitions: A discrete random variable can take one of a countable list of distinct values. Example: Number of years of studies. -­ A continuous random variable can take any value in an interval or collection of intervals. Example: Weight of a group of people Distribution of Random Variable

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Chapter 3, Problem 90E is Solved
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Textbook: Probability and Statistics for Engineers and the Scientists
Edition: 9
Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
ISBN: 9780321629111

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Let X have a Poisson distribution with parameter . Show