copyright © 2013 pearson education, inc. all rights reserved chapter 3 probability
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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
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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
3 - 9 Copyright © 2013 Pearson Education, Inc.. All rights reserved.
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
3 - 12 Copyright © 2013 Pearson Education, Inc.. All rights reserved.
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
3 - 21 Copyright © 2013 Pearson Education, Inc.. All rights reserved.
Definition
3 - 22 Copyright © 2013 Pearson Education, Inc.. All rights reserved.
Definition
3 - 23 Copyright © 2013 Pearson Education, Inc.. All rights reserved.
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
3 - 36 Copyright © 2013 Pearson Education, Inc.. All rights reserved.
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
3 - 42 Copyright © 2013 Pearson Education, Inc.. All rights reserved.
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
3 - 46 Copyright © 2013 Pearson Education, Inc.. All rights reserved.
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
3 - 68 Copyright © 2013 Pearson Education, Inc.. All rights reserved.
Figure 3.24 Tree diagram for Example 3.33
3 - 69 Copyright © 2013 Pearson Education, Inc.. All rights reserved.
Procedure
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