The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who is 40 or older is chosen at random, what is the probability that they have only completed high school? Round your answer to the nearest thousandth. Age 20-29 | Age 30-39| Age 40-49 | Age 50 & over Total High school only 1634 1411 917 936 4898 Some college 1946 1303 785 1176 5210 Bachelor's degree 1295 1536 777 1980 5588 Master's degree 818 949 195 792 2754 Total 5693 5199 2674 4884 18450

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The table below shows the highest educational attainment of all adult residents in a specific town. It is organized by age group and education level:

| Education Level        | Age 20-29 | Age 30-39 | Age 40-49 | Age 50 & over | Total  |
|------------------------|-----------|-----------|-----------|---------------|--------|
| High school only       | 1634      | 1411      | 917       | 936           | 4898   |
| Some college           | 1946      | 1303      | 785       | 1176          | 5210   |
| Bachelor’s degree      | 1295      | 1536      | 777       | 1980          | 5588   |
| Master’s degree        | 818       | 949       | 195       | 792           | 2754   |
| **Total**              | 5693      | 5199      | 2674      | 4884          | **18450** |

**Question:**  
If a resident who is 40 or older is chosen at random, what is the probability that they have only completed high school? Round your answer to the nearest thousandth.

**Solution Explanation:**

1. **Determine the Total Number of Residents Aged 40 or Older:**
   - Age 40-49: 2674 residents
   - Age 50 & over: 4884 residents
   - Total = 2674 + 4884 = 7558 residents

2. **Determine the Number of Residents Aged 40 or Older with Only High School Education:**
   - Age 40-49: 917 residents
   - Age 50 & over: 936 residents
   - Total = 917 + 936 = 1853 residents

3. **Calculate the Probability:**
   \[
   \text{Probability} = \frac{\text{Number with High School Education Only}}{\text{Total Number Aged 40 or Older}} = \frac{1853}{7558} \approx 0.245
   \]

The probability that a randomly chosen resident who is 40 or older has only completed high school is approximately 0.245.
Transcribed Image Text:The table below shows the highest educational attainment of all adult residents in a specific town. It is organized by age group and education level: | Education Level | Age 20-29 | Age 30-39 | Age 40-49 | Age 50 & over | Total | |------------------------|-----------|-----------|-----------|---------------|--------| | High school only | 1634 | 1411 | 917 | 936 | 4898 | | Some college | 1946 | 1303 | 785 | 1176 | 5210 | | Bachelor’s degree | 1295 | 1536 | 777 | 1980 | 5588 | | Master’s degree | 818 | 949 | 195 | 792 | 2754 | | **Total** | 5693 | 5199 | 2674 | 4884 | **18450** | **Question:** If a resident who is 40 or older is chosen at random, what is the probability that they have only completed high school? Round your answer to the nearest thousandth. **Solution Explanation:** 1. **Determine the Total Number of Residents Aged 40 or Older:** - Age 40-49: 2674 residents - Age 50 & over: 4884 residents - Total = 2674 + 4884 = 7558 residents 2. **Determine the Number of Residents Aged 40 or Older with Only High School Education:** - Age 40-49: 917 residents - Age 50 & over: 936 residents - Total = 917 + 936 = 1853 residents 3. **Calculate the Probability:** \[ \text{Probability} = \frac{\text{Number with High School Education Only}}{\text{Total Number Aged 40 or Older}} = \frac{1853}{7558} \approx 0.245 \] The probability that a randomly chosen resident who is 40 or older has only completed high school is approximately 0.245.
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