copyright © 2013 pearson education, inc. all rights reserved chapter 3 probability

Copyright © 2013 Pearson Education, Inc. All rights reserved

Chapter 3

Probability


3.1

Events, Sample Spaces, and Probability

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

Definition


Definition


Figure 3.1 Tree diagram for the coin-tossing experiment


Figure 3.2 Venn diagrams for the three experiments from Table 3.1


Definition


Table 3.1


Figure 3.3 Proportion of heads in N tosses of a coin


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


Procedure


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


Definition


Procedure


Table 3.2


Figure 3.6 Venn diagrams for AAMFT


Table 3.3


Procedure


3.2

Unions and Intersections


Definition


Figure 3.7 Venn diagrams for union and intersection


Figure 3.8 Venn diagrams for die toss


Table 3.4


3.3

Complementary Events


Definition


Figure 3.9 Venn diagrams of complementary events


Procedure


Figure 3.10 Complementary events in the toss of two coins


3.4

The Additive Rule and Mutually Exclusive Events


Figure 3.11 Venn diagram of union


Procedure


Figure 3.12 Venn diagram of Mutually exclusive events


Definition


Procedure


Figure 3.13 Venn diagram for coin-toss experiment


Table SIA3.1


3.5

Conditional Probability


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


Formula


Figure 3.15 Sample space for Example 3.15


Table 3.5


Table 3.6


The Multiplicative Rule and Independent Events

3.6


Procedure


Figure 3.16 Venn diagram for finding P(A)


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


Figure 3.18 Tree diagram for Example 3.17


Definition


Figure 3.19 Venn diagram for die-toss experiment


Figure 3.20 Mutually exclusive events are dependent events


Procedure


Random Sampling

3.7


Definition


Table 3.7


Figure 3.21 MINITAB worksheet with random sample of 50 households


Figure 3.22 MINITAB worksheet with random assignment of physicians


Some Additional Counting Rules (Optional)

3.8


Figure 3.23 Tree diagram for shipping problem


Procedure


Table 3.8


Table 3.9


Procedure


Definition


Bayes’s Rule (Optional)

3.9


Figure 3.24 Tree diagram for Example 3.33


Procedure

copyright © 2013 pearson education, inc. all rights reserved chapter 3 probability

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