QUESTION IMAGE
Question
the table shows the distribution, by age and gender, of the 27.7 million people who live alone in a certain region. use the data in the table to find the probability that a randomly selected person living alone in the region is in the 25–34 age range.
| male | female | total | |
|---|---|---|---|
| ages 25–34 | 2.5 | 1.9 | 4.4 |
| ages 35–44 | 2.1 | 1.2 | 3.3 |
| ages 45–64 | 4.8 | 4.0 | 8.8 |
| ages 65–74 | 1.2 | 2.4 | 3.6 |
| ages ≥75 | 1.4 | 4.7 | 6.1 |
| total | 12.6 | 15.1 | 27.7 |
the probability is \\(\square\\).
(type an integer or decimal rounded to the nearest hundredth as needed.)
Step1: Identify the number of people in the 25 - 34 age range
The number of people in the 25 - 34 age range is \(2.5+1.9 = 4.4\) million.
Step2: Identify the total number of people
The total number of people is \(27.7\) million.
Step3: Calculate the probability
The probability \(P\) is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So \(P=\frac{4.4}{27.7}\approx0.16\)
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\(0.16\)