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![DETAILS DEVORESTAT9 4.2.021.
An ecologist wishes to mark off a circular sampling region having radius 12 m. However, the radius of the resulting region is actually a random variable R with the following pdf.
1 - (12 - 7)²]
f(r) =
- {2
0
11 ≤rs 13
otherwise
What is the expected area of the resulting circular region? (Round your answer to two decimal places.)
453.02
m²
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