Subjects statistics

Conditional Probability Ca7218

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1. **State the problem:** We want to find the probability that a randomly chosen resident aged 40 or older has completed only high school or just some college. 2. **Identify the relevant data:** From the table, the age groups 40-49 and 50 & over are considered (age 40 or older). 3. **Calculate the total number of residents aged 40 or older:** $$1672 + 5997 = 7669$$ 4. **Calculate the number of residents aged 40 or older who completed only high school:** $$331 + 760 = 1091$$ 5. **Calculate the number of residents aged 40 or older who completed some college:** $$508 + 2356 = 2864$$ 6. **Calculate the total number of residents aged 40 or older who completed only high school or some college:** $$1091 + 2864 = 3955$$ 7. **Calculate the probability:** $$P = \frac{3955}{7669}$$ 8. **Simplify the fraction by canceling common factors if possible:** $$\frac{3955}{7669}$$ (no obvious common factors to cancel) 9. **Convert to decimal and round to the nearest thousandth:** $$\frac{3955}{7669} \approx 0.516\text{ (rounded to three decimal places)}$$ **Final answer:** The probability is approximately **0.516**.