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

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Presentation transcript:

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

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

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

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

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

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

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

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

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

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)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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