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2003/02/19 Chapter 2 1頁1頁 Chapter 2 : Basic Probability Theory Set Theory Axioms of Probability Conditional Probability Sequential Random Experiments Outlines.

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Presentation on theme: "2003/02/19 Chapter 2 1頁1頁 Chapter 2 : Basic Probability Theory Set Theory Axioms of Probability Conditional Probability Sequential Random Experiments Outlines."— Presentation transcript:

1 2003/02/19 Chapter 2 1頁1頁 Chapter 2 : Basic Probability Theory Set Theory Axioms of Probability Conditional Probability Sequential Random Experiments Outlines

2 2003/02/19 Chapter 2 2頁2頁 2.1 Specifying Random Experiments

3 2003/02/19 Chapter 2 3頁3頁 Sample Space Discrete Sample Space Continuous Sample Space

4 2003/02/19 Chapter 2 4頁4頁 Events Events : A subset of sample space S

5 2003/02/19 Chapter 2 5頁5頁 Set Operations

6 2003/02/19 Chapter 2 6頁6頁

7 2003/02/19 Chapter 2 7頁7頁 Venn Diagrams

8 2003/02/19 Chapter 2 8頁8頁

9 2003/02/19 Chapter 2 9頁9頁

10 2003/02/19 Chapter 2 10 頁

11 2003/02/19 Chapter 2 11 頁

12 2003/02/19 Chapter 2 12 頁 2.2 The Axioms of Probability

13 2003/02/19 Chapter 2 13 頁

14 2003/02/19 Chapter 2 14 頁

15 2003/02/19 Chapter 2 15 頁

16 2003/02/19 Chapter 2 16 頁

17 2003/02/19 Chapter 2 17 頁

18 2003/02/19 Chapter 2 18 頁

19 2003/02/19 Chapter 2 19 頁 Discrete Sample Space

20 2003/02/19 Chapter 2 20 頁

21 2003/02/19 Chapter 2 21 頁

22 2003/02/19 Chapter 2 22 頁 X

23 2003/02/19 Chapter 2 23 頁 Continuous Sample Space ( ]( r s

24 2003/02/19 Chapter 2 24 頁

25 2003/02/19 Chapter 2 25 頁

26 2003/02/19 Chapter 2 26 頁 2.4 Conditional Probability Conditional Probability

27 2003/02/19 Chapter 2 27 頁

28 2003/02/19 Chapter 2 28 頁

29 2003/02/19 Chapter 2 29 頁

30 2003/02/19 Chapter 2 30 頁

31 2003/02/19 Chapter 2 31 頁

32 2003/02/19 Chapter 2 32 頁

33 2003/02/19 Chapter 2 33 頁

34 2003/02/19 Chapter 2 34 頁

35 2003/02/19 Chapter 2 35 頁

36 2003/02/19 Chapter 2 36 頁 Bayes’ Rule

37 2003/02/19 Chapter 2 37 頁 vs. Posteriori Probability !

38 2003/02/19 Chapter 2 38 頁

39 2003/02/19 Chapter 2 39 頁 2.5 Independence of Events

40 2003/02/19 Chapter 2 40 頁

41 2003/02/19 Chapter 2 41 頁

42 2003/02/19 Chapter 2 42 頁

43 2003/02/19 Chapter 2 43 頁

44 2003/02/19 Chapter 2 44 頁

45 2003/02/19 Chapter 2 45 頁

46 2003/02/19 Chapter 2 46 頁

47 2003/02/19 Chapter 2 47 頁

48 2003/02/19 Chapter 2 48 頁 2.6 Sequential Experiments 2.6.1 Sequences of Independent Experiments

49 2003/02/19 Chapter 2 49 頁

50 2003/02/19 Chapter 2 50 頁

51 2003/02/19 Chapter 2 51 頁 The Binomial Probability Law

52 2003/02/19 Chapter 2 52 頁

53 2003/02/19 Chapter 2 53 頁

54 2003/02/19 Chapter 2 54 頁

55 2003/02/19 Chapter 2 55 頁

56 2003/02/19 Chapter 2 56 頁

57 2003/02/19 Chapter 2 57 頁

58 2003/02/19 Chapter 2 58 頁 Multinomial Probability Law

59 2003/02/19 Chapter 2 59 頁

60 2003/02/19 Chapter 2 60 頁 Geometric Probability Law

61 2003/02/19 Chapter 2 61 頁

62 2003/02/19 Chapter 2 62 頁

63 2003/02/19 Chapter 2 63 頁 2.6.2 Sequences of Dependent Experiments

64 2003/02/19 Chapter 2 64 頁

65 2003/02/19 Chapter 2 65 頁

66 2003/02/19 Chapter 2 66 頁

67 2003/02/19 Chapter 2 67 頁 Random Number Generator

68 2003/02/19 Chapter 2 68 頁 Random Number Generator


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