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Solved on Mar 22, 2024

Find the probability, rounded to the nearest hundredth, that a citizen who moved in 2004 was a person who moved to a different country. The table shows the number, in millions, of movers categorized by ownership status and region moved to.

STEP 1

Assumptions
1. The table provides the number of people who moved in 2004, in millions.
2. The categories are divided into moves within the same region, to a different region, and to a different country.
3. The categories are further divided into owners and renters.
4. We are interested in finding the probability that a randomly selected mover is someone who moved to a different country.
5. The probability is to be expressed as a decimal rounded to the nearest hundredth.

STEP 2

First, we need to find the total number of people who moved in 2004. This is the sum of all people who moved, regardless of the type of move or whether they were owners or renters.
Total number of people who moved=∑all categoriesNumber of peopleTotal\, number\, of\, people\, who\, moved = \sum_{\text{all categories}} \text{Number of people}

STEP 3

Calculate the total number of people who moved by adding the numbers from all categories in the table.
Total number of people who moved=11.6+2.9+0.3+18.7+4.6+1.0Total\, number\, of\, people\, who\, moved = 11.6 + 2.9 + 0.3 + 18.7 + 4.6 + 1.0

STEP 4

Perform the addition to find the total number of people who moved.
Total number of people who moved=11.6+2.9+0.3+18.7+4.6+1.0=39.1Total\, number\, of\, people\, who\, moved = 11.6 + 2.9 + 0.3 + 18.7 + 4.6 + 1.0 = 39.1

STEP 5

Next, we need to find the number of people who moved to a different country. This is the sum of the owners and renters who moved to a different country.
Number of people who moved to a different country=Owners who moved to a different country+Renters who moved to a different countryNumber\, of\, people\, who\, moved\, to\, a\, different\, country = \text{Owners who moved to a different country} + \text{Renters who moved to a different country}

STEP 6

Calculate the number of people who moved to a different country by adding the numbers from the corresponding categories in the table.
Number of people who moved to a different country=0.3+1.0Number\, of\, people\, who\, moved\, to\, a\, different\, country = 0.3 + 1.0

STEP 7

Perform the addition to find the number of people who moved to a different country.
Number of people who moved to a different country=0.3+1.0=1.3Number\, of\, people\, who\, moved\, to\, a\, different\, country = 0.3 + 1.0 = 1.3

STEP 8

Now, we can calculate the probability that a randomly selected citizen who moved in 2004 was a person who moved to a different country. The probability is the number of people who moved to a different country divided by the total number of people who moved.
Probability=Number of people who moved to a different countryTotal number of people who movedProbability = \frac{Number\, of\, people\, who\, moved\, to\, a\, different\, country}{Total\, number\, of\, people\, who\, moved}

STEP 9

Plug in the values to calculate the probability.
Probability=1.339.1Probability = \frac{1.3}{39.1}

STEP 10

Calculate the probability.
Probability=1.339.1≈0.033248Probability = \frac{1.3}{39.1} \approx 0.033248

STEP 11

Round the probability to the nearest hundredth.
Probability≈0.03Probability \approx 0.03
The probability that a randomly selected citizen who moved in 2004 was a person who moved to a different country is approximately 0.03.

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