An ecologist wishes to mark off a circular sampling region having radius 10 m. However, the radius of the resulting region is actually a random variable R with the following pdf. f(r) = 1- (10- - r²] 0 9 ≤rs 11 otherwise What is the expected area of the resulting circular region? (Round your answer to two decimal places.) m²

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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An ecologist wishes to mark off a circular sampling region having radius 10 m. However, the radius of the resulting region is actually a random variable R with the following pdf.
(10 - )²]
-r)² 9≤rs 11
0
otherwise
f(r)
=
What is the expected area of the resulting circular region? (Round your answer to two decimal places.)
2
m²
Transcribed Image Text:An ecologist wishes to mark off a circular sampling region having radius 10 m. However, the radius of the resulting region is actually a random variable R with the following pdf. (10 - )²] -r)² 9≤rs 11 0 otherwise f(r) = What is the expected area of the resulting circular region? (Round your answer to two decimal places.) 2 m²
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