1. Slide 5-1 Chapter 5 Probability and Random Variables

2. Slide 5-2 Section 5.1 Probability Basics

3. Slide 5-3 Definition 5.1

4. Slide 5-4 Figure 5.1 Possible outcomes for rolling a pair of dice

5. Slide 5-5 Figure 5.2 Two computer simulations of tossing a balanced coin 100 times

6. Slide 5-6 Key Fact 5.1

7. Slide 5-7 Section 5.2 Events

8. Slide 5-8 Definition 5.2 Sample Space and Event Sample space: The collection of all possible outcomes for an experiment. Event: A collection of outcomes for the experiment, that is, any subset of the sample space. An event occurs if and only if the outcome of the experiment is a member of the event.

9. Slide 5-9 Figure 5.9 Venn diagrams for (a) event (not E), (b) event (A & B), and (c) event (A or B)

10. Slide 5-10 Definition 5.3

11. Slide 5-11 Definition 5.4 Mutually Exclusive Events Two or more events are mutually exclusive events if no two of them have outcomes in common.

12. Slide 5-12 (a) Two mutually exclusive events; (b) two non–mutually exclusive events Figure 5.14

13. Slide 5-13 (a) Three mutually exclusive events; (b) three non–mutually exclusive events; (c) three non–mutually exclusive events Figure 5.15

14. Slide 5-14 Section 5.3 Some Rules of Probability

15. Slide 5-15 Formula 5.1

16. Slide 5-16 Formula 5.2

17. Slide 5-17 Formula 5.3

18. Slide 5-18 Section 5.4 Discrete Random Variables and Probability Distributions

19. Slide 5-19 Definitions 5.6 & 5.7 Random Variable A random variable is a quantitative variable whose value depends on chance. Discrete Random Variable A discrete random variable is a random variable whose possible values can be listed.

20. Slide 5-20 Definition 5.8 Probability Distribution and Probability Histogram Probability distribution: A listing of the possible values and corresponding probabilities of a discrete random variable, or a formula for the probabilities. Probability histogram: A graph of the probability distribution that displays the possible values of a discrete random variable on the horizontal axis and the probabilities of those values on the vertical axis. The probability of each value is represented by a vertical bar whose height equals the probability.

21. Slide 5-21 Table 5.7 & Figure 5.21 Probability distribution of the random variable X, the number of siblings of a randomly selected student Probability histogram for the random variable X, the number of siblings of a randomly selected student

22. Slide 5-22 Figure 5.22 (a) Histogram of proportions for the numbers of heads obtained in three tosses of a balanced dime for 1000 observations; (b) probability histogram for the number of heads obtained in three tosses of a balanced dime

23. Slide 5-23 Section 5.5 The Mean and Standard Deviation of a Discrete Random Variable Copyright © 2012, 2008, 2005 Pearson Education, Inc.

24. Slide 5-24 Copyright © 2012, 2008, 2005 Pearson Education, Inc.

25. Slide 5-25 Copyright © 2012, 2008, 2005 Pearson Education, Inc.

26. Slide 5-26 Copyright © 2012, 2008, 2005 Pearson Education, Inc. Graphs showing the average number of busy tellers versus the number of observations for two simulations of 100 observations each

27. Slide 5-27 Section 5.6 The Binomial Distribution Copyright © 2012, 2008, 2005 Pearson Education, Inc.

28. Slide 5-28 Copyright © 2012, 2008, 2005 Pearson Education, Inc.

29. Slide 5-29 Copyright © 2012, 2008, 2005 Pearson Education, Inc. Outcomes and probabilities for observing whether each of three people is alive at age 65

30. Slide 5-30 Tree diagram corresponding to Table 5.19 Copyright © 2012, 2008, 2005 Pearson Education, Inc.

31. Slide 5-31 Procedure 5.1 Copyright © 2012, 2008, 2005 Pearson Education, Inc.

32. Slide 5-32 Copyright © 2012, 2008, 2005 Pearson Education, Inc. Probability histograms for three different binomial distributions with parameter n = 6

33. Slide 5-33 Copyright © 2012, 2008, 2005 Pearson Education, Inc.