In a study of the relationship between health risk and income, a large group of people living in Massachusetts were asked a series of questions. Some of the results are shown in the following table.

(a) What is the probability that someone in this study smokes?
(b) What is the conditional probability that someone in this study smokes, given that the person has high income?
(c) Is being a smoker independent of having a high income? Why or why not?

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Income Low Medium High Total 634 332 2471,213 Don't smoke 1.8461.622 1.868 5,336 2.480 1954 2.115 6,549 Smoke Total