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Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 2 Probability.

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Presentation on theme: "Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 2 Probability."— Presentation transcript:

1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 2 Probability

2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 2.1 Sample Space

3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 3 Definition 2.1

4 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 4 Figure 2.1 Tree diagram for Example 2.2

5 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 5 Figure 2.2 Tree Diagram for Example 2.3

6 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 2.2 Events

7 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 7 Definition 2.2

8 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 8 Definition 2.3

9 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 9 Definition 2.4

10 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 10 Definition 2.5

11 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 11 Definition 2.6

12 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 12 Figure 2.3 Events represented by various regions

13 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 13 Figure 2.4 Events of the sample space S

14 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 14 Figure 2.5 Venn diagram for Exercises 2.19 and 2.20

15 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 2.3 Counting Sample Points

16 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 16 Rule 2.1

17 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 17 Figure 2.6 Tree diagram for Example 2.14

18 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 18 Rule 2.2

19 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 19 Definition 2.7

20 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 20 Definition 2.8

21 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 21 Theorem 2.1

22 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 22 Theorem 2.2

23 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 23 Theorem 2.3

24 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 24 Theorem 2.4

25 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 25 Theorem 2.5

26 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 26 Theorem 2.6

27 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 2.4 Probability of an Event

28 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 28 Definition 2.9

29 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 29 Rule 2.3

30 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 2.5 Additive Rules

31 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 31 Theorem 2.7

32 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 32 Figure 2.7 Additive rule of probability

33 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 33 Corollary 2.1

34 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 34 Corollary 2.2

35 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 35 Corollary 2.3

36 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 36 Theorem 2.8

37 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 37 Theorem 2.9

38 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 2.6 Conditional Probability, Independence, and the Product Rule

39 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 39 Definition 2.10

40 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 40 Table 2.1 Categorization of the Adults in a Small Town

41 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 41 Definition 2.11

42 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 42 Theorem 2.10

43 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 43 Figure 2.8 Tree diagram for Example 2.37

44 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 44 Theorem 2.11

45 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 45 Figure 2.9 An electrical system for Example 2.39

46 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 46 Theorem 2.12

47 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 47 Definition 2.12

48 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 48 Figure 2.10 Diagram for Exercise 2.92

49 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 49 Figure 2.11 Diagram for Exercise 2.93

50 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 2.7 Bayes’ Rule

51 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 51 Figure 2.12 Venn diagram for the events A, E and E

52 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 52 Figure 2.13 Tree diagram for the data on page 63, using additional information on page 72

53 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 53 Theorem 2.13

54 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 54 Figure 2.14 Partitioning the sample space S

55 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 55 Figure 2.15 Tree diagram for Example 2.41

56 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 56 Theorem 2.14

57 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 2.8 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters


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