The table shows the distribution, by age and gender, of the 29.6 million people in a certain region who live alone. Use the data in the table to find the probability that a randomly selected person in the region is a woman in the 18-24 age range living alone. Male Female Total Ages Ages Ages Ages Ages Ages 18-24 25-34 35-44 45-64 65-74 275 Total 13.4 16.2 29.6 00 0.8 0.9 1.7 2.1 2.5 112 SC INT 1.9 1.1 4.0 3.6 4.3 1.8 1.9 5.0 2.6 4.7 9.3 4.4 6.6 ... The probability is (Type an integer or decimal rounded to the nearest hundredth as needed.)
The table shows the distribution, by age and gender, of the 29.6 million people in a certain region who live alone. Use the data in the table to find the probability that a randomly selected person in the region is a woman in the 18-24 age range living alone. Male Female Total Ages Ages Ages Ages Ages Ages 18-24 25-34 35-44 45-64 65-74 275 Total 13.4 16.2 29.6 00 0.8 0.9 1.7 2.1 2.5 112 SC INT 1.9 1.1 4.0 3.6 4.3 1.8 1.9 5.0 2.6 4.7 9.3 4.4 6.6 ... The probability is (Type an integer or decimal rounded to the nearest hundredth as needed.)
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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18: Answer
![The table shows the distribution, by age and gender, of the 29.6 million people in a certain region who live alone. Use the data in the table to find the probability that a randomly selected person in the region is a woman in the 18–24 age range living alone.
| Ages | 18–24 | 25–34 | 35–44 | 45–64 | 65–74 | ≥ 75 | Total |
|-------------|-------|-------|-------|-------|-------|-----|-------|
| Male | 0.8 | 2.1 | 2.5 | 4.3 | 1.8 | 1.9 | 13.4 |
| Female | 0.9 | 1.9 | 1.1 | 5.0 | 2.6 | 4.7 | 16.2 |
| Total | 1.7 | 4.0 | 3.6 | 9.3 | 4.4 | 6.6 | 29.6 |
Calculate the probability that a person is a woman aged 18-24:
\[
\frac{\text{Number of women aged 18-24}}{\text{Total number of people}} = \frac{0.9}{29.6}
\]
The probability is \(\boxed{0.03}\) (rounded to the nearest hundredth).
(Type an integer or decimal rounded to the nearest hundredth as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8470e22-cdb6-4814-babe-099f6875e962%2Fd437061a-00f6-4526-9cf9-3711e1257786%2Fga2qnmx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The table shows the distribution, by age and gender, of the 29.6 million people in a certain region who live alone. Use the data in the table to find the probability that a randomly selected person in the region is a woman in the 18–24 age range living alone.
| Ages | 18–24 | 25–34 | 35–44 | 45–64 | 65–74 | ≥ 75 | Total |
|-------------|-------|-------|-------|-------|-------|-----|-------|
| Male | 0.8 | 2.1 | 2.5 | 4.3 | 1.8 | 1.9 | 13.4 |
| Female | 0.9 | 1.9 | 1.1 | 5.0 | 2.6 | 4.7 | 16.2 |
| Total | 1.7 | 4.0 | 3.6 | 9.3 | 4.4 | 6.6 | 29.6 |
Calculate the probability that a person is a woman aged 18-24:
\[
\frac{\text{Number of women aged 18-24}}{\text{Total number of people}} = \frac{0.9}{29.6}
\]
The probability is \(\boxed{0.03}\) (rounded to the nearest hundredth).
(Type an integer or decimal rounded to the nearest hundredth as needed.)
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