QUESTION IMAGE
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 an owner who moved to a different country.
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 | 4.5 | 1.0 |
p(citizen was an owner who moved to a different country) ≈ \square
(round to the nearest hundredth as needed.)
Step1: Calculate total number of movers
First, we sum up all the values in the table. For owners: \(11.8 + 2.8 + 0.3 = 14.9\) million. For renters: \(18.8 + 4.5 + 1.0 = 24.3\) million. Then total movers: \(14.9 + 24.3 = 39.2\) million.
Step2: Identify favorable outcomes
The number of owners who moved to a different country is \(0.3\) million.
Step3: Calculate probability
Probability is favorable outcomes divided by total outcomes. So \(P=\frac{0.3}{39.2}\approx0.01\) (rounded to nearest hundredth).
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\(0.01\)