Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 4 Discrete Random Variables.

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Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 4 Discrete Random Variables

4 - 2 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.1 Venn diagram for coin-tossing experiment

4 - 3 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc. All rights reserved 4.1 Two Types of Random Variables

4 - 5 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

4 - 6 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc. All rights reserved 4.2 Probability Distributions for Discrete Random Variables

4 - 8 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.2 Venn diagram for the two-coin- toss experiment

4 - 9 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.1

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.3 Probability distribution for coin- toss experiment: graphical form

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.4 MINITAB Histogram for $5 Wager on Come-out roll in Craps

Copyright © 2013 Pearson Education, Inc. All rights reserved 4.3 Expected Values of Discrete Random Variables

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.5 Probability distribution for a two- coin toss

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.6 Shapes of two probability distributions for a discrete random variable x

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.7 Graph of p(x) for Example 4.8

Copyright © 2013 Pearson Education, Inc. All rights reserved 4.4 The Binomial Random Variable

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.2

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.8 Probability distribution for physical fitness example: graphical form

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.3

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.4

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.9 Binomial probability distribution for n=10 and p=.10, with highlighted

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.10 The binomial probability distribution for x in Example 4.13; n=20 and p=.6

Copyright © 2013 Pearson Education, Inc. All rights reserved 4.5 The Poisson Random Variable (Optional)

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.11 Probability distribution for number of blue-whale sightings

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.5

Copyright © 2013 Pearson Education, Inc. All rights reserved The Hypergeometric Random Variable (Optional) 4.6

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.12 Probability distribution for x in Example 4.15