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A particular survey indicated that 81% of 16-to 25-year-olds had getting rich as a goal as compared to 62% of 26-to 35-year olds.
Suppose that the survey was based on 300 respondents from each of the two groups.
(a) What is the probability that a randomly selected respondent has a goal of getting rich?
(b) Are the events "age group" and "has getting rich as a goal" independent? Explain.

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