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The measured radius of a circle, R, has pdf f(r) = 6r(1 r), 0 < r < 1. (a) Find the distribution of the circumference.

The measured radius of a circle, R, has pdf f(r) = 6r(1 r), 0 < r < 1.

(a) Find the distribution of the circumference.

(b) Find the distribution of the area of the circle.

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