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The lable 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
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






Owner
11.8
2.8
0.4


Renter
18.6
4.6
1.1




decimal rounded to the nearest hundredth, that a randomly selected citizen who moved in 2004 was a person who moved to a different country.

P (citizen was a person who moved to a different country) 
~~0.32
(Round to the nearest hundredth as needed.)

The lable shows the number, expressed in millions, of citizens who moved in 20042004, categorized by where they moved and whether they were an owner or a renter.\newlineFind the probability, expressed as a\newlineNumber of People in a Certain Country Who Moved in 20042004, in Millions\newline\begin{tabular}{|c|c|c|c|}\newline\hline & \begin{tabular}{c} \newlineMoved to \\\newlineSame \\\newlineRegion\newline\end{tabular} & \begin{tabular}{c} \newlineMoved to \\\newlineDifferent \\\newlineRegion\newline\end{tabular} & \begin{tabular}{c} \newlineMoved to \\\newlineDifferent \\\newlineCountry\newline\end{tabular} \\\newline\hline Owner & 1111.88 & 22.88 & 00.44 \\\newline\hline Renter & 1818.66 & 44.66 & 11.11 \\\newline\hline\newline\end{tabular}\newlinedecimal rounded to the nearest hundredth, that a randomly selected citizen who moved in 20042004 was a person who moved to a different country.\newlineP \mathrm{P} (citizen was a person who moved to a different country) 0.32 \approx 0.32 \newline(Round to the nearest hundredth as needed.)

Full solution

Q. The lable shows the number, expressed in millions, of citizens who moved in 20042004, categorized by where they moved and whether they were an owner or a renter.\newlineFind the probability, expressed as a\newlineNumber of People in a Certain Country Who Moved in 20042004, in Millions\newline\begin{tabular}{|c|c|c|c|}\newline\hline & \begin{tabular}{c} \newlineMoved to \\\newlineSame \\\newlineRegion\newline\end{tabular} & \begin{tabular}{c} \newlineMoved to \\\newlineDifferent \\\newlineRegion\newline\end{tabular} & \begin{tabular}{c} \newlineMoved to \\\newlineDifferent \\\newlineCountry\newline\end{tabular} \\\newline\hline Owner & 1111.88 & 22.88 & 00.44 \\\newline\hline Renter & 1818.66 & 44.66 & 11.11 \\\newline\hline\newline\end{tabular}\newlinedecimal rounded to the nearest hundredth, that a randomly selected citizen who moved in 20042004 was a person who moved to a different country.\newlineP \mathrm{P} (citizen was a person who moved to a different country) 0.32 \approx 0.32 \newline(Round to the nearest hundredth as needed.)
  1. Find Total Citizens Moved: First, we need to find the total number of citizens who moved in 20042004. To do this, we add up all the numbers in the table.\newlineTotal number of citizens who moved = (Owner Same Region+Owner Different Region+Owner Different Country)+(Renter Same Region+Renter Different Region+Renter Different Country)(\text{Owner Same Region} + \text{Owner Different Region} + \text{Owner Different Country}) + (\text{Renter Same Region} + \text{Renter Different Region} + \text{Renter Different Country})\newlineTotal number of citizens who moved = (11.8+2.8+0.4)+(18.6+4.6+1.1)(11.8 + 2.8 + 0.4) + (18.6 + 4.6 + 1.1)\newlineTotal number of citizens who moved = 1515 + 2424.33\newlineTotal number of citizens who moved = 3939.33\) million
  2. Find Citizens Moved Different Country: Next, we find the total number of citizens who moved to a different country. This is the sum of the owners and renters who moved to a different country.\newlineTotal number of citizens who moved to a different country == Owner Different Country ++ Renter Different Country\newlineTotal number of citizens who moved to a different country =0.4+1.1= 0.4 + 1.1\newlineTotal number of citizens who moved to a different country =1.5= 1.5 million
  3. Calculate Probability: Now, we calculate the probability that a randomly selected citizen who moved in 20042004 was a person who moved to a different country. We do this by dividing the number of citizens who moved to a different country by the total number of citizens who moved.\newlineProbability = Total number of citizens who moved to a different countryTotal number of citizens who moved\frac{\text{Total number of citizens who moved to a different country}}{\text{Total number of citizens who moved}}\newlineProbability = 1.539.3\frac{1.5}{39.3}\newlineProbability 0.03816793893129771\approx 0.03816793893129771
  4. Round Probability: Finally, we round the probability to the nearest hundredth as instructed. Rounded Probability 0.04\approx 0.04

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