A stick of length 1 is broken at a uniformly random point, yielding two pieces. Let X
Chapter 5, Problem 13(choose chapter or problem)
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 = X/Y be the ratio of the lengths X and Y . (a) Find the CDF and PDF of R. (b) Find the expected value of R (if it exists). (c) Find the expected value of 1/R (if it exists).
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