An ecologist wishes to mark off a circular sampling region

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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 variable R with probability density function:

f(x) = (3/4)(1-(5-x)^2) with the parameter [4 < x < 6]

What is the expected area of the resulting circular region?

Reference no: EM13614080

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