Problem

estion 6 of 9. Step 1 of 2
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e FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are. ught:
ep 1 of 2: Suppose a sample of 1016 suspected criminals is drawn. Of these people, 406 were captured. Using the data, estimate the proportion of people w ught after being on the 10 Most Wanted list; Enter your answer as a fraction or a decimal number rounded to three decimal places.

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Final Answer: The proportion of people who were captured after being on the 10 Most Wanted list is approximately \(\boxed{0.4}\).

Steps

Step 1 :The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are caught.

Step 2 :Suppose a sample of 1016 suspected criminals is drawn. Of these people, 406 were captured. Using the data, estimate the proportion of people caught after being on the 10 Most Wanted list.

Step 3 :The question is asking for the proportion of people who were captured after being on the 10 Most Wanted list. This can be calculated by dividing the number of people captured by the total number of suspected criminals. In this case, the number of people captured is 406 and the total number of suspected criminals is 1016.

Step 4 :Let's denote the number of people captured as \(captured = 406\) and the total number of suspected criminals as \(total = 1016\).

Step 5 :The proportion can be calculated as \(proportion = \frac{captured}{total} = \frac{406}{1016} = 0.39960629921259844\).

Step 6 :The proportion of people who were captured after being on the 10 Most Wanted list is approximately 0.4 when rounded to three decimal places.

Step 7 :Final Answer: The proportion of people who were captured after being on the 10 Most Wanted list is approximately \(\boxed{0.4}\).

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