Chapter 2 : Basic Probability Theory

1. Chapter 2 : Basic Probability Theory Outlines • Set Theory • Axioms of Probability • Conditional Probability • Sequential Random Experiments Chapter 2

2. 2.1 Specifying Random Experiments Chapter 2

3. Sample Space • Discrete Sample Space • Continuous Sample Space Chapter 2

4. Events Events : A subset of sample space S Chapter 2

5. Set Operations Chapter 2

6. Chapter 2

7. Venn Diagrams Chapter 2

8. Chapter 2

9. Chapter 2

10. Chapter 2

11. Chapter 2

12. 2.2 The Axioms of Probability Chapter 2

13. Chapter 2

14. Chapter 2

15. Chapter 2

16. Chapter 2

17. Chapter 2

18. Chapter 2

19. Discrete Sample Space Chapter 2

20. <Example> Chapter 2

21. Chapter 2

22. <Example> X Chapter 2

23. Continuous Sample Space ( ]( r s Chapter 2

24. <Example> Chapter 2

25. <Example> Chapter 2

26. 2.4 Conditional Probability Conditional Probability Chapter 2

27. Chapter 2

28. Chapter 2

29. Chapter 2

30. Chapter 2

31. Chapter 2

32. Chapter 2

33. Chapter 2

34. Chapter 2

35. < Example> Chapter 2

36. Bayes’ Rule Chapter 2

37. vs. Posteriori Probability ! Chapter 2

38. < Example> Chapter 2

39. 2.5 Independence of Events Chapter 2

40. Chapter 2

41. <Example> Chapter 2

42. Chapter 2

43. Chapter 2

44. <Example> Chapter 2

45. Chapter 2

46. Chapter 2

47. < Example> Chapter 2

48. 2.6 Sequential Experiments 2.6.1 Sequences of Independent Experiments Chapter 2

49. Chapter 2

50. <Example> Chapter 2