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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Theorem 4.1
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Definition 4.2
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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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Definition 4.3
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Theorem 4.2
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Theorem 4.3
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Definition 4.4
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Theorem 4.4
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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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Corollary 4.1
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Corollary 4.2
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Theorem 4.6
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Theorem 4.7
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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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Corollary 4.7
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Corollary 4.8
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Corollary 4.9
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Corollary 4.10
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Corollary 4.11
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Section 4.4
Chebyshev’s
Theorem
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Figure 4.2 Variability of continuous
observations about the mean
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Figure 4.3 Variability of discrete
observations about the mean
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Theorem 4.10
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Section 4.5
Potential
Misconceptions
and Hazards;
Relationship to
Material in Other
Chapters
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