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Mathematics, 28.08.2019 06:30 iiheartshay

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) = 3/4
1 − (14 − r)2
0
13 ≤ r ≤ 15
what is the expected area of the resulting circular region?

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