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

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

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

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

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

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

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

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

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

10. 4 - 10 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.3 Probability distribution for coin- toss experiment: graphical form

11. 4 - 11 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

12. 4 - 12 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

13. 4 - 13 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.4 MINITAB Histogram for $5 Wager on Come-out roll in Craps

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

15. 4 - 15 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.5 Probability distribution for a two- coin toss

16. 4 - 16 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

17. 4 - 17 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

18. 4 - 18 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

19. 4 - 19 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

20. 4 - 20 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.6 Shapes of two probability distributions for a discrete random variable x

21. 4 - 21 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.7 Graph of p(x) for Example 4.8

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

23. 4 - 23 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

24. 4 - 24 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.2

25. 4 - 25 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

26. 4 - 26 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.8 Probability distribution for physical fitness example: graphical form

27. 4 - 27 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.3

28. 4 - 28 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

29. 4 - 29 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.4

30. 4 - 30 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.9 Binomial probability distribution for n=10 and p=.10, with highlighted

31. 4 - 31 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

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

33. 4 - 33 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

34. 4 - 34 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

35. 4 - 35 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.11 Probability distribution for number of blue-whale sightings

36. 4 - 36 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.5

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

38. 4 - 38 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

39. 4 - 39 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

40. 4 - 40 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.12 Probability distribution for x in Example 4.15