Data from Office on Smoking and Health, Centers for Disease Control and Preventi
ID: 3129852 • Letter: D
Question
Data from Office on Smoking and Health, Centers for Disease Control and Prevention, indicate that 41% of adults who did not finish high school, 33% of high school graduates, 23% 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.
Probability =
Hints: This problem has all the information you need, but not in the typical ready-to-use form. 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.
Education Employed Unemployed Not a high school graduate 0.0975 0.0080 High school graduate 0.3108 0.0128 Some college, no degree 0.1785 0.0062 Associate Degree 0.0849 0.0023 Bachelor Degree 0.1959 0.0041 Advanced Degree 0.0975 0.0015Explanation / Answer
probability that the individual is a college graduate. 0.1959 + 0.0041 + 0.0849 + 0.0023 + 0.0975 + 0.0015
probability that the individual is a college graduate. = 0.3862
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