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An ecologist wishes to mark off a circular sampling region having radius 7 m. However, the...

An ecologist wishes to mark off a circular sampling region having radius 7 m. However, the radius of the resulting region is actually a random variable R with the following pdf.

f(r) =  3 /4{ 1 − (7 − r)^2}   6 ≤ r ≤ 8

0 otherwise

What is the expected area of the resulting circular region? (Round your answer to two decimal places.)..................m2

0 0
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