Let's solve the problem step-by-step.
1. Identify the number of people who moved:
We have been given the following data:
- Owners:
- Moved to Same Region = 11.6 million
- Moved to Different Region = 2.9 million
- Moved to Different Country = 0.3 million
- Renters:
- Moved to Same Region = 18.7 million
- Moved to Different Region = 4.5 million
- Moved to Different Country = 1.0 million
2. Calculate the total number of owners who moved:
[tex]\[
\text{Total Owners} = 11.6 + 2.9 + 0.3 = 14.8 \text{ million}
\][/tex]
3. Calculate the total number of renters who moved:
[tex]\[
\text{Total Renters} = 18.7 + 4.5 + 1.0 = 24.2 \text{ million}
\][/tex]
4. Calculate the total number of people who moved (owners and renters combined):
[tex]\[
\text{Total Number of People Who Moved} = 14.8 + 24.2 = 39.0 \text{ million}
\][/tex]
5. Calculate the probability that a randomly selected citizen who moved was an owner:
[tex]\[
P(\text{Owner}) = \frac{\text{Total Number of Owners}}{\text{Total Number of People Who Moved}} = \frac{14.8}{39.0}
\][/tex]
Using the division:
[tex]\[
P(\text{Owner}) \approx 0.3794871794871795
\][/tex]
6. Round the probability to the nearest hundredth:
[tex]\[
P(\text{Owner}) \approx 0.38
\][/tex]
Therefore, the probability that a randomly selected citizen who moved in 2004 was an owner is approximately [tex]\( 0.38 \)[/tex].
So, the final answer is:
[tex]\[
P (\text{citizen was an owner}) \approx 0.38
\][/tex]
