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Probability statistics for engineers and scientists 9th by walpole myers chapter 04

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Chapter 4
Mathematical
Expectation

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Section 4.1
Mean of a
Random Variable

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Definition 4.1

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4-3


Theorem 4.1

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4-4


Definition 4.2

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4-5


Section 4.2
Variance and
Covariance of
Random
Variables

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Figure 4.1 Distributions with equal
means and unequal dispersions

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4-7


Definition 4.3

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4-8


Theorem 4.2


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4-9


Theorem 4.3

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4 - 10


Definition 4.4

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4 - 11


Theorem 4.4

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4 - 12


Definition 4.5

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Section 4.3
Means and
Variances of
Linear
Combinations of
Random
Variables
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Theorem 4.5

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4 - 15


Corollary 4.1

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4 - 16


Corollary 4.2

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Theorem 4.6

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4 - 18


Theorem 4.7

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4 - 19


Corollary 4.3

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Corollary 4.4

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Theorem 4.8

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Corollary 4.5

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Theorem 4.9

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Corollary 4.6

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