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Probability statistics for engineers and scientists 9th by walpole myers chapter 07

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Chapter 7
Functions of
Random
Variables
(Optional)

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Section 7.1
Introduction

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Section 7.2
Transformation
of Variables

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Theorem 7.1

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7-4


Theorem 7.2


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7-5


Theorem 7.3

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7-6


Theorem 7.4

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7-7


Figure 7.1 Mapping set A into set
B

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7-8


Figure 7.2 Decreasing and
increasing function


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7-9


Theorem 7.5

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7 - 10


Section 7.3
Moments and
MomentGenerating
Functions

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Definition 7.1

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Definition 7.2

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Theorem 7.6

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Theorem 7.7

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Theorem 7.8

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Theorem 7.9

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Theorem 7.10

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Theorem 7.11

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Theorem 7.12

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Corollary 7.1

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Corollary 7.2

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