1. Chapter 4
Mathematical Expectation

2. Section 4.1
Mean of a Random Variable

3. Definition 4.1
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4. Theorem 4.1
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5. Definition 4.2
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6. Section 4.2
Variance and Covariance of Random Variables

7. Figure 4.1 Distributions with equal means and unequal dispersions
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8. Definition 4.3
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9. Theorem 4.2
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10. Theorem 4.3
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11. Definition 4.4
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12. Theorem 4.4
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13. Definition 4.5
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14. Section 4.3
Means and Variances of Linear Combinations of Random Variables

15. Theorem 4.5
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16. Corollary 4.1
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17. Corollary 4.2
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18. Theorem 4.6
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19. Theorem 4.7
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20. Corollary 4.3
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21. Corollary 4.4
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22. Theorem 4.8
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23. Corollary 4.5
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24. Theorem 4.9
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25. Corollary 4.6
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26. Corollary 4.7
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27. Corollary 4.8
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28. Corollary 4.9
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29. Corollary 4.10
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30. Corollary 4.11
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31. Section 4.4
Chebyshev’s Theorem

32. Figure 4.2 Variability of continuous observations about the mean
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33. Figure 4.3 Variability of discrete observations about the mean
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34. Theorem 4.10
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35. Section 4.5
Potential Misconceptions and Hazards; Relationship to Material in Other Chapters