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Data from Office Smoking and Health, Centers for Disease Control and Prevention,

ID: 3129845 • Letter: D

Question

Data from Office Smoking and Health, Centers for Disease Control and Prevention, indicate that 44% of adults who did not finish high school, 32% of high school graduates, 22% of adults who completed some college, and 14% of college graduates smoke. Suppose that one individual is selected at random and it is discovered that the individual smokes. Use the probabilities in the following table to calculate the probability that the individual is a college graduate. The table above can tell you the proportion of people with various levels of education in the population. Keep in mind that any degree (Associate, Bachelor, or Advanced) counts as graduating from college.

Explanation / Answer

Employed(a) unemployed(b) (a+b) 0.0975 0.008 0.1055 0.3108 0.0128 0.3236 0.1785 0.0062 0.1847 0.0849 0.0023 0.0872 0.1959 0.0041 0.2 0.0975 0.0015 0.099 0.166667 The probability of graduate=0.16667