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An ecologist wishes to mark off a circular sampling region having radius 10 meters. However the radius of the resulting region is actually a random...

An ecologist wishes to mark off a circular sampling region having radius 10 meters. However the radius of the resulting region is actually a random variable R with probability density function.

f(x)= 3/4 [1-(100 + r^2 – 20r)]; 9 ≤ r ≤ 11
0 ; otherwise

What is the expected area of the resulting circular region?

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