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Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 3 Probability.

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Presentation on theme: "Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 3 Probability."— Presentation transcript:

1 Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 3 Probability

2 Copyright © 2013 Pearson Education, Inc. All rights reserved 3.1 Events, Sample Spaces, and Probability

3 3 - 3 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

4 3 - 4 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

5 3 - 5 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.1 Tree diagram for the coin-tossing experiment

6 3 - 6 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.2 Venn diagrams for the three experiments from Table 3.1

7 3 - 7 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

8 3 - 8 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 3.1

9 3 - 9 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.3 Proportion of heads in N tosses of a coin

10 3 - 10 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.4 Experiment: invest in a business venture and observe whether it succeeds (S) or fails (F)

11 3 - 11 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

12 3 - 12 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.5 Die-toss experiment with event A, observe an even number

13 3 - 13 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

14 3 - 14 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

15 3 - 15 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

16 3 - 16 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 3.2

17 3 - 17 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.6 Venn diagrams for AAMFT

18 3 - 18 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 3.3

19 3 - 19 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

20 Copyright © 2013 Pearson Education, Inc. All rights reserved 3.2 Unions and Intersections

21 3 - 21 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

22 3 - 22 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

23 3 - 23 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.7 Venn diagrams for union and intersection

24 3 - 24 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.8 Venn diagrams for die toss

25 3 - 25 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 3.4

26 Copyright © 2013 Pearson Education, Inc. All rights reserved 3.3 Complementary Events

27 3 - 27 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

28 3 - 28 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.9 Venn diagrams of complementary events

29 3 - 29 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

30 3 - 30 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.10 Complementary events in the toss of two coins

31 Copyright © 2013 Pearson Education, Inc. All rights reserved 3.4 The Additive Rule and Mutually Exclusive Events

32 3 - 32 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.11 Venn diagram of union

33 3 - 33 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

34 3 - 34 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.12 Venn diagram of Mutually exclusive events

35 3 - 35 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

36 3 - 36 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

37 3 - 37 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.13 Venn diagram for coin-toss experiment

38 3 - 38 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table SIA3.1

39 Copyright © 2013 Pearson Education, Inc. All rights reserved 3.5 Conditional Probability

40 3 - 40 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.14 Reduced sample space for the die-toss experiment: given that event B has occurred

41 3 - 41 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Formula

42 3 - 42 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.15 Sample space for Example 3.15

43 3 - 43 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 3.5

44 3 - 44 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 3.6

45 Copyright © 2013 Pearson Education, Inc. All rights reserved The Multiplicative Rule and Independent Events 3.6

46 3 - 46 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

47 3 - 47 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.16 Venn diagram for finding P(A)

48 3 - 48 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.17 Venn diagram for finding P(B|A)

49 3 - 49 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.18 Tree diagram for Example 3.17

50 3 - 50 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

51 3 - 51 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.19 Venn diagram for die-toss experiment

52 3 - 52 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.20 Mutually exclusive events are dependent events

53 3 - 53 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

54 Copyright © 2013 Pearson Education, Inc. All rights reserved Random Sampling 3.7

55 3 - 55 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

56 3 - 56 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 3.7

57 3 - 57 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.21 MINITAB worksheet with random sample of 50 households

58 3 - 58 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.22 MINITAB worksheet with random assignment of physicians

59 Copyright © 2013 Pearson Education, Inc. All rights reserved Some Additional Counting Rules (Optional) 3.8

60 3 - 60 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.23 Tree diagram for shipping problem

61 3 - 61 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

62 3 - 62 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

63 3 - 63 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 3.8

64 3 - 64 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 3.9

65 3 - 65 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

66 3 - 66 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

67 Copyright © 2013 Pearson Education, Inc. All rights reserved Bayes’s Rule (Optional) 3.9

68 3 - 68 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 3.24 Tree diagram for Example 3.33

69 3 - 69 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

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