General Probability

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Transcript General Probability

Chapter 2
Probability
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Section 2.1
Sample Space
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Definition 2.1
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2-3
Figure 2.1 Tree diagram for
Example 2.2
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Figure 2.2 Tree Diagram for
Example 2.3
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Section 2.2
Events
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Definition 2.2
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2-7
Definition 2.3
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Definition 2.4
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Definition 2.5
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Definition 2.6
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Figure 2.3 Events represented by
various regions
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Figure 2.4 Events of the sample
space S
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Figure 2.5 Venn diagram for
Exercises 2.19 and 2.20
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Section 2.3
Counting Sample
Points
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Rule 2.1
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Figure 2.6 Tree diagram for
Example 2.14
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Rule 2.2
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Definition 2.7
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Definition 2.8
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Theorem 2.1
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Theorem 2.2
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Theorem 2.3
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Theorem 2.4
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Theorem 2.5
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Theorem 2.6
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Section 2.4
Probability of an
Event
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Definition 2.9
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Rule 2.3
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Section 2.5
Additive Rules
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Theorem 2.7
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Figure 2.7 Additive rule of
probability
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Corollary 2.1
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Corollary 2.2
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Corollary 2.3
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Theorem 2.8
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Theorem 2.9
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Section 2.6
Conditional
Probability,
Independence,
and the Product
Rule
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Definition 2.10
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Table 2.1 Categorization of the
Adults in a Small Town
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Definition 2.11
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Theorem 2.10
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Figure 2.8 Tree diagram for
Example 2.37
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Theorem 2.11
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Figure 2.9 An electrical system for
Example 2.39
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Theorem 2.12
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Definition 2.12
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Figure 2.10 Diagram for Exercise
2.92
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Figure 2.11 Diagram for Exercise
2.93
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Section 2.7
Bayes’ Rule
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Figure 2.12 Venn diagram for the
events A, E and E ´
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Figure 2.13 Tree diagram for the data on
page 63, using additional information on
page 72
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Theorem 2.13
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Figure 2.14 Partitioning the
sample space S
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Figure 2.15 Tree diagram for
Example 2.41
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Theorem 2.14
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Section 2.8
Potential
Misconceptions and
Hazards;
Relationship to
Material in Other
Chapters
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