Question

the table shows the number, expressed in millions, of citizens who moved in 2004, categorized by where they moved and whether they were an owner or a renter.
find the probability, expressed as a decimal rounded to the nearest hundredth, that a randomly selected citizen who moved in 2004 was a person who moved to a different region.

number of people in a certain country who moved in 2004, in millions

	moved to same region	moved to different region	moved to different country
renter	18.8	4.4	1.1

p(citizen was a person who moved to a different region) \\(\approx\\) \\(\square\\)
(round to the nearest hundredth as needed.)

Explanation:

Step1: Calculate total number of movers

First, we find the total number of citizens who moved in 2004 by summing all the values in the table.
The values are: Owner - Same Region: \(11.6\), Owner - Different Region: \(2.7\), Owner - Different Country: \(0.4\), Renter - Same Region: \(18.8\), Renter - Different Region: \(4.4\), Renter - Different Country: \(1.1\).
Total = \(11.6 + 2.7 + 0.4 + 18.8 + 4.4 + 1.1\)
\(= 11.6+18.8 + 2.7+4.4 + 0.4+1.1\)
\(= 30.4 + 7.1 + 1.5\)
\(= 30.4+8.6\)
\(= 39\)

Step2: Calculate number of different region movers

Next, we find the number of citizens who moved to a different region. This includes Owner - Different Region (\(2.7\)) and Renter - Different Region (\(4.4\)).
Number of different region movers = \(2.7 + 4.4 = 7.1\)

Step3: Calculate the probability

Probability is the number of favorable outcomes (different region movers) divided by the total number of outcomes (total movers).
\(P = \frac{7.1}{39}\)
\(\approx 0.18\) (rounded to the nearest hundredth)

Answer:

\(0.18\)