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Chapter 3 : Random Variables

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Presentation on theme: "Chapter 3 : Random Variables"— Presentation transcript:

1 Chapter 3 : Random Variables
3.1 Notion of a Random Variable 2003/03/05 Chapter 3

2 2003/03/05 Chapter 3

3 2003/03/05 Chapter 3

4 S => Sx Pk => Pk Mapping Outcomes Random Variable 2003/03/05
Chapter 3

5 Mapping 2003/03/05 Chapter 3

6 3.2 The Cumulative Distribution Function
2003/03/05 Chapter 3

7 2003/03/05 Chapter 3

8 2003/03/05 Chapter 3

9 2003/03/05 Chapter 3

10 2003/03/05 Chapter 3

11 2003/03/05 Chapter 3

12 2003/03/05 Chapter 3

13 2003/03/05 Chapter 3

14 2003/03/05 Chapter 3

15 2003/03/05 Chapter 3

16 2003/03/05 Chapter 3

17 Three Types of Random Variables
Discrete Random Variable Continuous Random Variable Random Variable of Mixed Type 2003/03/05 Chapter 3

18 cdf 2003/03/05 Chapter 3

19 2003/03/05 Chapter 3

20 2003/03/05 Chapter 3

21 3.3 The Probability Density Function
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22 2003/03/05 Chapter 3

23 2003/03/05 Chapter 3

24 2003/03/05 Chapter 3

25 2003/03/05 Chapter 3

26 2003/03/05 Chapter 3

27 2003/03/05 Chapter 3

28 2003/03/05 Chapter 3

29 2003/03/05 Chapter 3

30 Discrete Random Variables
3.4 Some Important Random Variables Discrete Random Variables Bernoulli Random Variable Binomial Random Variable Geometric Random Variable Poisson Random Variable Continue Random Variables Uniform Random Variable Exponential Random Variable Gaussian (Normal) Random Variable Gamma Random Variable 2003/03/05 Chapter 3

31 2003/03/05 Chapter 3

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49 2003/03/05 Chapter 3

50 3.5 Functions of Random Variable
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