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Chapter 4

Discrete Random Variables

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Figure 4.1 Venn diagram for coin-tossing experiment

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Definition

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4.1

Two Types of Random Variables

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Definition

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Definition

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4.2

Probability Distributions for Discrete Random Variables

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Figure 4.2 Venn diagram for the two-coin-toss experiment

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Table 4.1

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Figure 4.3 Probability distribution for coin-toss experiment: graphical form

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Definition

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Definition

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Figure 4.4 MINITAB Histogram for $5 Wager on Come-out roll in Craps

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4.3

Expected Values of Discrete Random Variables

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Figure 4.5 Probability distribution for a two-coin toss

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Definition

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Definition

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Definition

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Procedure

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Figure 4.6 Shapes of two probability distributions for a discrete random variable x

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Figure 4.7 Graph of p(x) for Example 4.8

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4.4

The Binomial Random Variable

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Definition

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Table 4.2

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Procedure

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Figure 4.8 Probability distribution for physical fitness example: graphical form

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Table 4.3

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Definition

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Table 4.4

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Figure 4.9 Binomial probability distribution for n=10 and p=.10, with highlighted( 2)P x

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Figure 4.10 The binomial probability distribution for x in Example 4.13; n=20 and p=.6

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4.5

The Poisson Random Variable (Optional)

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Definition

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Procedure

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Figure 4.11 Probability distribution for number of blue-whale sightings

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Table 4.5

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The Hypergeometric Random Variable (Optional)

4.6

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Definition

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Procedure

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Figure 4.12 Probability distribution for x in Example 4.15