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The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who is 30-49 years old is chosen at random, what is the probability that they have completed a bachelor's degree and no more? Round your answer to the nearest thousandth.
Age 20-29 Age 30-39 Age 40-49 Age 50 & over Total
High school only 625 410 587 1368 2990
Some college 1580 682 1269 2908 6439
Bachelor's degree 1947 396 677 1636 4656
Master's degree 538 624 677 530 2369
Total 4690 2112 3210 6442 16454

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Answered by GPT-4o mini
To find the probability that a randomly chosen resident who is 30-49 years old has completed a bachelor's degree and no more, we'll follow these steps:

1. **Identify the age group**: The ages 30-39 and 40-49 combined encompass the 30-49 age group.

2. **Count the total residents aged 30-49**:
- Age 30-39: 2112
- Age 40-49: 3210

Total residents aged 30-49 = 2112 + 3210 = 5322

3. **Count the residents aged 30-49 who have completed a bachelor's degree**:
- Residents aged 30-39 with a bachelor's degree: 396
- Residents aged 40-49 with a bachelor's degree: 677

Total residents aged 30-49 with a bachelor's degree = 396 + 677 = 1073

4. **Calculate the probability**:
- The probability \( P \) that a randomly chosen resident aged 30-49 has a bachelor's degree is given by:

\[
P = \frac{\text{Number of residents with a bachelor's degree}}{\text{Total residents aged 30-49}} = \frac{1073}{5322}
\]

5. **Perform the calculation**:

\[
P = \frac{1073}{5322} \approx 0.201
\]

6. **Round to the nearest thousandth**:

The probability that a randomly chosen resident who is 30-49 years old has completed a bachelor's degree and no more is approximately **0.201**.

Thus, the final answer is:

**0.201**
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