Questions: The table shows the distribution, by age and gender, of the 28.9 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. The probability is . (Type an integer or decimal rounded to the nearest hundredth as needed.)

Solution Steps

To find the probability that a randomly selected person living alone in the region is in the 25-34 age range, we need to know the number of people in the 25-34 age range and the total number of people living alone. The probability is then the ratio of these two numbers.

The total number of people living alone in the region is given as \( 28.9 \) million, which can be expressed as: \[ \text{Total} = 28.9 \times 10^6 = 28900000 \]

The number of people living alone in the age range of \( 25-34 \) is provided as \( 5.8 \) million, which can be expressed as: \[ \text{Age Group} = 5.8 \times 10^6 = 5800000 \]

The probability \( P \) that a randomly selected person living alone is in the \( 25-34 \) age range is calculated using the formula: \[ P(25-34) = \frac{\text{Age Group}}{\text{Total}} = \frac{5800000}{28900000} \] Calculating this gives: \[ P(25-34) \approx 0.2007 \] Rounding to the nearest hundredth, we find: \[ P(25-34) \approx 0.20 \]

Final Answer