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Suppose that the number of plants of a particular type

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 34E 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 34E

Suppose that the number of plants of a particular type found in a rectangular sampling region (called a quadrat by ecologists) in a certain geographic area is an rv X with pmf Is E(X) finite? Justify your answer (this is another distribution that statisticians would call heavy-tailed).

Step-by-Step Solution:

Answer : Step 1 : Suppose that the number of plants of a particular type found in a rectangular sampling region (called a quadrat by ecologists) in a certain geographic area is an rv X with pmf. Yes.E (X) is finite. The explanation is E(X) = xp(x = n) x=1 E(X) = x c x3 x=1 c E(X) = x2 x=1 E(X) = c 12,, ut it is a well-known result from the theory of infinite series that x=1 x 1 x2 < x=1 So E(X) is finite.

Step 2 of 1

Chapter 3, Problem 34E is Solved
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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Suppose that the number of plants of a particular type