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If the distribution of X is N(?, ?2), then We then say

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 13E Chapter 5.1

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 13E

If the distribution of X is N(μ, σ2), then We then say that Y = eX has a lognormal distribution because X = lnY.

(a) Show that the pdf of Y is

(b) Using M(t), find (i) E(Y) = E(eX) = M(1), (ii)E(Y2) = E(e2X) = M(2), and (iii) Var(Y).

Step-by-Step Solution:
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Chapter 5.1, Problem 13E is Solved
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Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

The answer to “If the distribution of X is N(?, ?2), then We then say that Y = eX has a lognormal distribution because X = lnY.(a) Show that the pdf of Y is (b) Using M(t), find (i) E(Y) = E(eX) = M(1), (ii)E(Y2) = E(e2X) = M(2), and (iii) Var(Y).” is broken down into a number of easy to follow steps, and 49 words. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. The full step-by-step solution to problem: 13E from chapter: 5.1 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. Since the solution to 13E from 5.1 chapter was answered, more than 247 students have viewed the full step-by-step answer. This full solution covers the following key subjects: distribution, lognormal, III, lny, Find. This expansive textbook survival guide covers 59 chapters, and 1476 solutions.

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