A survey by the Pew Research Center ("Snapshots: Goals of 'Gen Next' vs. 'Gen X,'" USA Today, March 27, 2007, p. 1A) indicated that 81% of 18- to 25-year-olds had getting rich as a goal, as compared to 62% of 26- to 40-yearolds. Suppose that the survey was based on 500 respondents from each of the two groups.
a. Construct a contingency table.
b. Give an example of a simple event and a joint event.
c. What is the probability that a randomly selected respondent has a goal of getting rich?
d. What is the probability that a randomly selected respondent has a goal of getting rich and is in the 26- to 40-year-old group?
e. Are the events "age group" and "has getting rich as a goal" independent? Explain.