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2. A stick of length 1 is broken at a uniformly random point, yielding two pieces. Let X' and Y be the lengths of the

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2. A stick of length 1 is broken at a uniformly random point, yielding two pieces. Let X' and Y be the lengths of the shorter and longer pieces, respectively, and let R = be the ratio of the lengths X and Y (a) Find the CDF and PDF of R (b) Find the expected value of R

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