To find the probability that a randomly selected person in the region is a woman in the 18-24 age range living alone, we can follow these steps:
1. Identify the Total Population:
According to the table, the total population of people living alone in the region is 28.6 million.
2. Identify the Number of Women in the 18-24 Age Range:
From the table, the number of women living alone in the 18-24 age range is 0.8 million.
3. Calculate the Probability:
The probability that a randomly selected person is a woman in the 18-24 age range living alone is the ratio of the number of women in that age range to the total population.
To find the probability, we use the formula:
[tex]\[
\text{Probability} = \frac{\text{Number of Women aged 18-24}}{\text{Total Population}}
\][/tex]
Substituting the values from the table:
[tex]\[
\text{Probability} = \frac{0.8 \text{ million}}{28.6 \text{ million}}
\][/tex]
4. Simplify the Fraction:
Simplifying the fraction, we get:
[tex]\[
\text{Probability} = 0.027972027972027972
\][/tex]
Therefore, the probability that a randomly selected person in the region is a woman in the 18-24 age range living alone is approximately [tex]\(0.02797\)[/tex] or [tex]\(2.797\%\)[/tex].
