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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. 3 - 2 Definition 3.1

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

4 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 4 Definition 3.3

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

6 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 6 Definition 3.4

7 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 7 Definition 3.5

8 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 8 Figure 3.1 Probability mass function plot

9 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 9 Figure 3.2 Probability histogram

10 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 10 Figure 3.3 Discrete cumulative distribution function

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

12 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 12 Figure 3.4 Typical density functions

13 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 13 Figure 3.5 P(a < X < b)

14 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 14 Definition 3.6

15 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 15 Definition 3.7

16 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 16 Figure 3.6 Continuous cumulative distribution function

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

18 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 18 Definition 3.8

19 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 19 Table 3.1 Joint Probability Distribution for Example 3.14

20 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 20 Definition 3.9

21 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 21 Definition 3.10

22 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 22 Definition 3.11

23 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 23 Definition 3.12

24 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 3 - 24 Definition 3.13


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