Chapter Functions of Random Variables (Optional) Copyright © 2010 Pearson Addison-Wesley All rights reserved Section 7.1 Introduction Copyright © 2010 Pearson Addison-Wesley All rights reserved Section 7.2 Transformation of Variables Copyright © 2010 Pearson Addison-Wesley All rights reserved Theorem 7.1 Copyright © 2010 Pearson Addison- 7-4 Theorem 7.2 Copyright © 2010 Pearson Addison- 7-5 Theorem 7.3 Copyright © 2010 Pearson Addison- 7-6 Theorem 7.4 Copyright © 2010 Pearson Addison- 7-7 Figure 7.1 Mapping set A into set B Copyright © 2010 Pearson Addison- 7-8 Figure 7.2 Decreasing and increasing function Copyright © 2010 Pearson Addison- 7-9 Theorem 7.5 Copyright © 2010 Pearson Addison- - 10 Section 7.3 Moments and MomentGenerating Functions Copyright © 2010 Pearson Addison-Wesley All rights reserved Definition 7.1 Copyright © 2010 Pearson Addison- - 12 Definition 7.2 Copyright © 2010 Pearson Addison- - 13 Theorem 7.6 Copyright © 2010 Pearson Addison- - 14 Theorem 7.7 Copyright © 2010 Pearson Addison- - 15 Theorem 7.8 Copyright © 2010 Pearson Addison- - 16 Theorem 7.9 Copyright © 2010 Pearson Addison- - 17 Theorem 7.10 Copyright © 2010 Pearson Addison- - 18 Theorem 7.11 Copyright © 2010 Pearson Addison- - 19 Theorem 7.12 Copyright © 2010 Pearson Addison- - 20 Corollary 7.1 Copyright © 2010 Pearson Addison- - 21 Corollary 7.2 Copyright © 2010 Pearson Addison- - 22 ... Addison- 7-8 Figure 7.2 Decreasing and increasing function Copyright © 2010 Pearson Addison- 7-9 Theorem 7.5 Copyright © 2010 Pearson Addison- - 10 Section 7.3 Moments and MomentGenerating Functions... 7.1 Introduction Copyright © 2010 Pearson Addison-Wesley All rights reserved Section 7.2 Transformation of Variables Copyright © 2010 Pearson Addison-Wesley All rights reserved Theorem 7.1