Chapter Mathematical Expectation Copyright © 2010 Pearson Addison-Wesley All rights reserved Section 4.1 Mean of a Random Variable Copyright © 2010 Pearson Addison-Wesley All rights reserved Definition 4.1 Copyright © 2010 Pearson Addison- 4-3 Theorem 4.1 Copyright © 2010 Pearson Addison- 4-4 Definition 4.2 Copyright © 2010 Pearson Addison- 4-5 Section 4.2 Variance and Covariance of Random Variables Copyright © 2010 Pearson Addison-Wesley All rights reserved Figure 4.1 Distributions with equal means and unequal dispersions Copyright © 2010 Pearson Addison- 4-7 Definition 4.3 Copyright © 2010 Pearson Addison- 4-8 Theorem 4.2 Copyright © 2010 Pearson Addison- 4-9 Theorem 4.3 Copyright © 2010 Pearson Addison- - 10 Corollary 4.4 Copyright © 2010 Pearson Addison- - 21 Theorem 4.8 Copyright © 2010 Pearson Addison- - 22 Corollary 4.5 Copyright © 2010 Pearson Addison- - 23 Theorem 4.9 Copyright © 2010 Pearson Addison- - 24 Corollary 4.6 Copyright © 2010 Pearson Addison- - 25 Corollary 4.7 Copyright © 2010 Pearson Addison- - 26 Corollary 4.8 Copyright © 2010 Pearson Addison- - 27 Corollary 4.9 Copyright © 2010 Pearson Addison- - 28 Corollary 4.10 Copyright © 2010 Pearson Addison- - 29 Corollary 4.11 Copyright © 2010 Pearson Addison- - 30 Section 4.4 Chebyshev’s Theorem Copyright © 2010 Pearson Addison-Wesley All rights reserved Figure 4.2 Variability of continuous observations about the mean Copyright © 2010 Pearson Addison- - 32 Figure 4.3 Variability of discrete observations about the mean Copyright © 2010 Pearson Addison- - 33 Theorem 4.10 Copyright © 2010 Pearson Addison- - 34 Section 4.5 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters Copyright © 2010 Pearson Addison-Wesley All rights reserved ... Addison- 4-5 Section 4.2 Variance and Covariance of Random Variables Copyright © 2010 Pearson Addison-Wesley All rights reserved Figure 4.1 Distributions with equal means and unequal dispersions Copyright... 12 Definition 4.5 Copyright © 2010 Pearson Addison- - 13 Section 4.3 Means and Variances of Linear Combinations of Random Variables Copyright © 2010 Pearson Addison-Wesley All rights reserved...Section 4.1 Mean of a Random Variable Copyright © 2010 Pearson Addison-Wesley All rights reserved Definition 4.1 Copyright