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Chapter 4 Mathematical Expectation.

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Presentation on theme: "Chapter 4 Mathematical Expectation."— Presentation transcript:

1 Chapter 4 Mathematical Expectation

2 Definition 4.1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

3 Theorem 4.1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

4 Definition 4.2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

5 Section 4.2 Variance and Covariance of Random Variables

6 Figure 4.1 Distributions with equal means and unequal dispersions
Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

7 Definition 4.3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

8 Theorem 4.2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

9 Theorem 4.3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

10 Definition 4.4 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

11 Theorem 4.4 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

12 Definition 4.5 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

13 Section 4.3 Means and Variances of Linear Combinations of Random Variables

14 Theorem 4.5 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

15 Corollary 4.1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

16 Corollary 4.2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

17 Theorem 4.6 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

18 Theorem 4.7 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

19 Corollary 4.3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

20 Corollary 4.4 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

21 Theorem 4.8 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

22 Corollary 4.5 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

23 Theorem 4.9 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

24 Corollary 4.6 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

25 Corollary 4.7 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

26 Corollary 4.8 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

27 Corollary 4.9 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

28 Corollary 4.10 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

29 Corollary 4.11 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.


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