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# Let X be N(0, 1). Find the pdf of Y = |X|, a distribution ISBN: 9780321923271 41

## Solution for problem 14E Chapter 5.1

Probability and Statistical Inference | 9th Edition

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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...

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