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The table shows the distribution, by age and gender, of the 30.0 million people in a certain region who live alone. Use the data in the table to find the probability that a randomly selected person in the region is a woman in the 18-24 age range living alone.








Ages



18-24







Ages



25-34







Ages



35-44







Ages



45-64







Ages



65-74







Ages



275







Man
0.6
2.4
2.3
4.3
1.5
1.2
12.3


Woman
0.7
1.3
1.8
6.0
2.8
5.1
17.7


Total
1.3
3.7
4.1
10.3
4.3
6.3
30.0




The probability is 
◻.
(Type an integer or decimal rounded to the nearest hundredth as needed.)

The table shows the distribution, by age and gender, of the 3030.00 million people in a certain region who live alone. Use the data in the table to find the probability that a randomly selected person in the region is a woman in the 181824-24 age range living alone.\newline\begin{tabular}{|l|c|c|c|c|c|c|c|}\newline\hline & \begin{tabular}{l} \newlineAges \\\newline1824 18-24 \newline\end{tabular} & \begin{tabular}{l} \newlineAges \\\newline2534 25-34 \newline\end{tabular} & \begin{tabular}{l} \newlineAges \\\newline3544 35-44 \newline\end{tabular} & \begin{tabular}{l} \newlineAges \\\newline4564 \mathbf{4 5 - 6 4} \newline\end{tabular} & \begin{tabular}{l} \newlineAges \\\newline6574 65-\mathbf{7 4} \newline\end{tabular} & \begin{tabular}{l} \newlineAges \\\newline275 \mathbf{2 7 5} \newline\end{tabular} & \\\newline\cline { 11 - 77 } Man & 00.66 & 22.44 & 22.33 & 44.33 & 11.55 & 11.22 & 1212.33 \\\newline\hline Woman & 00.77 & 11.33 & 11.88 & 66.00 & 22.88 & 55.11 & 1717.77 \\\newline\hline Total & 11.33 & 33.77 & 44.11 & 1010.33 & 44.33 & 66.33 & 3030.00 \\\newline\hline\newline\end{tabular}\newlineThe probability is \square .\newline(Type an integer or decimal rounded to the nearest hundredth as needed.)

Full solution

Q. The table shows the distribution, by age and gender, of the 3030.00 million people in a certain region who live alone. Use the data in the table to find the probability that a randomly selected person in the region is a woman in the 181824-24 age range living alone.\newline\begin{tabular}{|l|c|c|c|c|c|c|c|}\newline\hline & \begin{tabular}{l} \newlineAges \\\newline1824 18-24 \newline\end{tabular} & \begin{tabular}{l} \newlineAges \\\newline2534 25-34 \newline\end{tabular} & \begin{tabular}{l} \newlineAges \\\newline3544 35-44 \newline\end{tabular} & \begin{tabular}{l} \newlineAges \\\newline4564 \mathbf{4 5 - 6 4} \newline\end{tabular} & \begin{tabular}{l} \newlineAges \\\newline6574 65-\mathbf{7 4} \newline\end{tabular} & \begin{tabular}{l} \newlineAges \\\newline275 \mathbf{2 7 5} \newline\end{tabular} & \\\newline\cline { 11 - 77 } Man & 00.66 & 22.44 & 22.33 & 44.33 & 11.55 & 11.22 & 1212.33 \\\newline\hline Woman & 00.77 & 11.33 & 11.88 & 66.00 & 22.88 & 55.11 & 1717.77 \\\newline\hline Total & 11.33 & 33.77 & 44.11 & 1010.33 & 44.33 & 66.33 & 3030.00 \\\newline\hline\newline\end{tabular}\newlineThe probability is \square .\newline(Type an integer or decimal rounded to the nearest hundredth as needed.)
  1. Identify Data: Identify the total number of people living alone in the region and the number of women in the 181824-24 age range living alone.\newlineThe total number of people living alone in the region is given as 30.030.0 million.\newlineThe number of women in the 181824-24 age range living alone is given as 0.70.7 million.
  2. Calculate Probability: Calculate the probability that a randomly selected person in the region is a woman in the 181824-24 age range living alone.\newlineThe probability is calculated by dividing the number of women in the 181824-24 age range living alone by the total number of people living alone in the region.\newlineProbability = Number of women in the 18-24 age range living aloneTotal number of people living alone\frac{\text{Number of women in the 18-24 age range living alone}}{\text{Total number of people living alone}}\newlineProbability = 0.7 million30.0 million\frac{0.7 \text{ million}}{30.0 \text{ million}}
  3. Perform Division: Perform the division to find the probability.\newlineProbability = 0.7/30.00.7 / 30.0\newlineProbability = 0.0233330.023333\ldots
  4. Round Probability: Round the probability to the nearest hundredth as required.\newlineRounded Probability = 0.020.02

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