Copyright © 2013 Pearson Education. All rights reserved. Chapter 1 Introduction to Statistics and...

Copyright © 2013 Pearson Education. All rights reserved.

Chapter 1

Introduction to Statistics and Probability


Section 1.1

Overview: Statistical Inference, Samples, Populations, and the Role of Probability

Copyright © 2013 Pearson Education. All rights reserved.1-3

Table 1.1 Data Set for Example 1.2


Figure 1.1 A dot plot of stem weight data


Figure 1.2 Fundamental relationship between probability and inferential statistics


Section 1.2

Sampling Procedures; Collection of Data


Table 1.2 Data Example 1.3


Figure 1.3 Corrosion results for Example 1.3


Section 1.3

Discrete and Continuous Data


Section 1.4

Probability: Sample Space and Events


Definition 1.1


Figure 1.4 Tree diagram for Example 1.5


Definition 1.2


Definition 1.3


Definition 1.4


Definition 1.5


Definition 1.6


Figure 1.5 Events represented by various regions


Figure 1.6 Events of the sample space S


Figure 1.7 Venn diagram for Exercises 1.15 and 1.16


Section 1.5

Counting Sample Points


Definition 1.7


Theorem 1.1


Theorem 1.2


Theorem 1.3


Theorem 1.4


Theorem 1.5


Theorem 1.6


Section 1.6

Probability of an Event


Definition 1.8


Definition 1.9


Section 1.7

Additive Rules


Theorem 1.7


Figure 1.8 Additive rule of probability


Corollary 1.1


Corollary 1.2


Corollary 1.3


Theorem 1.8


Theorem 1.9


Section 1.8

Conditional Probability, Independence, and the Product Rule


Definition 1.10


Table 1.3 Categorization of the Adults in a Small Town


Definition 1.11


Theorem 1.10


Theorem 1.11


Figure 1.9 An electrical system for Example 1.33


Theorem 1.12


Definition 1.12


Figure 1.10 Diagram for Exercise 1.69


Figure 1.11 Diagram for Exercise 1.70


Section 1.9Bayes’ Rule


Figure 1.12 Venn diagram for the events A, E and E´


Figure 1.13 Tree diagram for the data on page 34, using additional information on page 42


Theorem 1.13


Figure 1.14 Partitioning the sample space S


Figure 1.15 Tree diagram for Example 1.34


Theorem 1.14

Copyright © 2013 Pearson Education. All rights reserved. Chapter 1 Introduction to Statistics and...

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