1. Discrete Random Variables
Chapter 4
Discrete Random Variables

2. Figure 4.1 Venn diagram for coin-tossing experiment
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3. Definition
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4. Two Types of Random Variables
4.1
Two Types of Random Variables

5. Definition
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6. Definition
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7. Probability Distributions for Discrete Random Variables
4.2
Probability Distributions for Discrete Random Variables

8. Figure 4.2 Venn diagram for the two-coin-toss experiment
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9. Table 4.1
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10. Figure 4.3 Probability distribution for coin-toss experiment: graphical form
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11. Definition
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12. Definition
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13. Figure 4.4 MINITAB Histogram for $5 Wager on Come-out roll in Craps
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14. Expected Values of Discrete Random Variables
4.3
Expected Values of Discrete Random Variables

15. Figure 4.5 Probability distribution for a two-coin toss
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16. Definition
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17. Definition
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18. Definition
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19. Procedure
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20. Figure 4.6 Shapes of two probability distributions for a discrete random variable x
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21. Figure 4.7 Graph of p(x) for Example 4.8
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22. The Binomial Random Variable
4.4
The Binomial Random Variable

23. Definition
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24. Table 4.2
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25. Procedure
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26. Figure 4.8 Probability distribution for physical fitness example: graphical form
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27. Table 4.3
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28. Definition
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29. Table 4.4
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30. Figure 4. 9 Binomial probability distribution for n=10 and p=
Figure 4.9 Binomial probability distribution for n=10 and p=.10, with highlighted
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31. Figure 4. 10 The binomial probability distribution for x in Example 4
Figure The binomial probability distribution for x in Example 4.13; n=20 and p=.6
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32. The Poisson Random Variable (Optional)
4.5
The Poisson Random Variable (Optional)

33. Definition
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34. Procedure
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35. Figure 4.11 Probability distribution for number of blue-whale sightings
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36. Table 4.5
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37. The Hypergeometric Random Variable (Optional)
4.6
The Hypergeometric Random Variable (Optional)

38. Definition
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39. Procedure
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40. Figure 4.12 Probability distribution for x in Example 4.15
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