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Compute the cdf and pdf of r

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Reference no: EM131682491

Question: 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).

Reference no: EM131682491

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