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

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

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

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Definition

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Definition

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Figure 3.1 Tree diagram for the coin-tossing experiment

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Figure 3.2 Venn diagrams for the three experiments from Table 3.1

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Definition

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Table 3.1

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Figure 3.3 Proportion of heads in N tosses of a coin

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Figure 3.4 Experiment: invest in a business venture and observe whether it succeeds (S) or fails (F)

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Procedure

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Figure 3.5 Die-toss experiment with event A, observe an even number

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Definition

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Definition

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Procedure

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Table 3.2

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Figure 3.6 Venn diagrams for AAMFT

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Table 3.3

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Procedure

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3.2

Unions and Intersections

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Definition

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Definition

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Figure 3.7 Venn diagrams for union and intersection

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Figure 3.8 Venn diagrams for die toss

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Table 3.4

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3.3

Complementary Events

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Definition

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Figure 3.9 Venn diagrams of complementary events

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Procedure

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Figure 3.10 Complementary events in the toss of two coins

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3.4

The Additive Rule and Mutually Exclusive Events

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Figure 3.11 Venn diagram of union

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Procedure

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Figure 3.12 Venn diagram of Mutually exclusive events

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Definition

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Procedure

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Figure 3.13 Venn diagram for coin-toss experiment

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Table SIA3.1

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3.5

Conditional Probability

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Figure 3.14 Reduced sample space for the die-toss experiment: given that event B has occurred

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Formula

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Figure 3.15 Sample space for Example 3.15

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Table 3.5

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Table 3.6

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The Multiplicative Rule and Independent Events

3.6

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Procedure

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Figure 3.16 Venn diagram for finding P(A)

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Figure 3.17 Venn diagram for finding P(B|A)

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Figure 3.18 Tree diagram for Example 3.17

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Definition

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Figure 3.19 Venn diagram for die-toss experiment

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Figure 3.20 Mutually exclusive events are dependent events

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Procedure

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Random Sampling

3.7

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Definition

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Table 3.7

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Figure 3.21 MINITAB worksheet with random sample of 50 households

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Figure 3.22 MINITAB worksheet with random assignment of physicians

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Some Additional Counting Rules (Optional)

3.8

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Figure 3.23 Tree diagram for shipping problem

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Procedure

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Procedure

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Table 3.8

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Table 3.9

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Procedure

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Definition

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Bayes’s Rule (Optional)

3.9

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Figure 3.24 Tree diagram for Example 3.33

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Procedure