QUESTION IMAGE
Question
the table shows the distribution, by age and gender, of the 28.6 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 | ages 25–34 | ages 35–44 | ages 45–64 | ages 65–74 | ages ≥75 | total | |
|---|---|---|---|---|---|---|---|
| woman | 0.7 | 1.7 | 1.5 | 4.0 | 2.6 | 5.4 | 15.9 |
| total | 1.6 | 4.1 | 3.7 | 8.4 | 3.8 | 7.0 | 28.6 |
the probability is
(type an integer or decimal rounded to the nearest hundredth as needed.)
Step1: Identify relevant values
We need the number of women in 18 - 24 age range (0.7 million) and the total number of people (28.6 million).
Step2: Calculate probability
Probability = (Number of women in 18 - 24) / Total number of people = \( \frac{0.7}{28.6} \)
Step3: Compute and round
\( \frac{0.7}{28.6} \approx 0.0244755 \), rounded to nearest hundredth is 0.02.
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0.02