To determine the probability that a randomly selected person living alone in the region is in the 25-34 age range, we can follow these steps:
1. Identify the total number of people living alone in the region:
- According to the data provided, the total number of people living alone in the region is 30.7 million.
2. Identify the number of people living alone who are in the 25-34 age range:
- The table gives us the information that the number of males in the 25-34 age range is 2.4 million and the number of females in the same age range is 1.9 million.
- Adding these figures together, we get:
[tex]\[
\text{Number of people in the 25-34 age range} = 2.4 \text{ million (males)} + 1.9 \text{ million (females)} = 4.3 \text{ million}
\][/tex]
3. Calculate the probability that a randomly selected person is in the 25-34 age range:
- The probability is calculated by dividing the number of people in the 25-34 age range by the total number of people living alone:
[tex]\[
\text{Probability} = \frac{\text{Number of people in the 25-34 age range}}{\text{Total number of people living alone}} = \frac{4.3}{30.7}
\][/tex]
4. Perform the division to get the probability:
- When we perform the division, we get the value (not shown in calculation manually to ensure not using tools directly but rather descriptive steps):
[tex]\[
\text{Probability} \approx 0.14006514657980457
\][/tex]
5. Round the probability to the nearest hundredth:
- To round to the nearest hundredth, we look at the third decimal place. If the third decimal is 5 or higher, we round up the second decimal place:
[tex]\[
0.14006514657980457 \approx 0.14
\][/tex]
Therefore, the probability that a randomly selected person living alone in the region is in the 25-34 age range is approximately [tex]\( \boxed{0.14} \)[/tex].
