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Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 3 Random Variables and Probability Distributions.

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Presentation on theme: "Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 3 Random Variables and Probability Distributions."— Presentation transcript:

1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 3 Random Variables and Probability Distributions

2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 3.1 Concept of a Random Variable

3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 3 Definition 3.1

4 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 4 Definition 3.2

5 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 5 Definition 3.3

6 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 3.2 Discrete Probability Distribution

7 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 7 Definition 3.4

8 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 8 Definition 3.5

9 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 9 Figure 3.1 Probability mass function plot

10 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 10 Figure 3.2 Probability histogram

11 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 11 Figure 3.3 Discrete cumulative distribution function

12 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 3.3 Continuous Probability Distributions

13 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 13 Figure 3.4 Typical density functions

14 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 14 Figure 3.5 P(a < X < b)

15 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 15 Definition 3.6

16 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 16 Definition 3.7

17 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 17 Figure 3.6 Continuous cumulative distribution function

18 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 3.4 Joint Probability Distributions

19 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 19 Definition 3.8

20 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 20 Table 3.1 Joint Probability Distribution for Example 3.14

21 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 21 Definition 3.9

22 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 22 Definition 3.10

23 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 23 Definition 3.11

24 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 24 Definition 3.12

25 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 25 Definition 3.13

26 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 3.5 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters


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