The table shows the educational attainment of the population of Mars, ages 25 and over, expressed in millions. Find the probability that a randomly selected martian, aged 25 and over has completed four years of high school only or is a male. The probability is 107 157 Male Female Total Years of High School Less than 4 4 only 24 33 57 (Type an integer or a simplified fraction.) 12 15 27 C Years of College Some (less than 4) 20 19 39 4 or more 18 16 34 Total 74 83 157
The table shows the educational attainment of the population of Mars, ages 25 and over, expressed in millions. Find the probability that a randomly selected martian, aged 25 and over has completed four years of high school only or is a male. The probability is 107 157 Male Female Total Years of High School Less than 4 4 only 24 33 57 (Type an integer or a simplified fraction.) 12 15 27 C Years of College Some (less than 4) 20 19 39 4 or more 18 16 34 Total 74 83 157
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The table shows the educational attainment of the population of Mars, ages 25 and over, expressed in millions. It provides the data required to find the probability that a randomly selected Martian, aged 25 and over, has completed four years of high school only or is a male.
### Table: Educational Attainment
| | Years of High School | | Years of College | | |
|----------------|----------------------|------------|------------------|------------|--------|
| | Less than 4 | 4 only | Some (less than 4) | 4 or more | Total |
| Male | 12 | 24 | 20 | 18 | 74 |
| Female | 15 | 33 | 19 | 16 | 83 |
| Total | 27 | 57 | 39 | 34 | 157 |
### Analysis
1. **Columns and Rows:**
- Columns represent years of education completed.
- Rows represent the population divided by gender.
2. **Data Interpretation:**
- Total number of males is 74.
- Total number of females is 83.
- Total population is 157.
3. **Probability Calculation:**
- We need to find the probability that a randomly selected individual is either a male or has completed four years of high school only.
- The total number of individuals with four years of high school only is 57 (sum of 24 males and 33 females).
- The number of males is already included in the total, which is 74.
- Add the two, then subtract overlap (males who completed only four years of high school, already counted in both), so we have 74 + 57 - 24 = 107.
- Total individuals is 157.
Therefore, the probability is \( \frac{107}{157} \).
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