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Let X be N(0, 1). Find the pdf of Y = |X|, a distribution

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

Solution for problem 14E 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 14E

Problem 14E

Let X be N(0, 1). Find the pdf of Y = |X|, a distribution that is often called the half-normal. Hint: Here y Sy = {y : 0 < y < ∞}. Consider the two transformations x1 = −y,−∞ < x1 < 0, and x2 = y, 0 < y < ∞.

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EVIDENCE-BASED PUBLIC HEALTH The PERIE Approach ● Problem ● Etiology ● Recommendations ● Implementation ● Evaluation How can we describe a health problem ● The burden of disease ○ Morbidity = disability ○ Mortality = death ● Course of disease ○ How often it occurs ○ How likely it is to be present currently ○ What happens once it occurs ● Distribution of disease ○ Who ○ When ○ Where How can understanding the distribution of disease help us generate hypotheses about disease causation ● Finds group associations or patterns in the freq

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Chapter 5.1, Problem 14E is Solved
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Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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Let X be N(0, 1). Find the pdf of Y = |X|, a distribution