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Problem 6. Probability and Geometry 2 points possible (graded, results hidden) A stick of length 1 is broken into two pieces of length Y
Problem 6. Probability and Geometry 2 points possible (graded, results hidden) A stick of length 1 is broken into two pieces of length Y and 1 - Y respectively, where Y is uniformly distributed on [0, 1]. Let R be the ratio of the length of the shorter to the length of the longer piece. 1. Find the PDF fR (r) of R. Hint:. What is the PDF of the length of the smaller piece? For 0 < r < 1, fr (r) = 2. Find E[R]. E[R] =
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Probability and Random Processes With Applications to Signal Processing and Communications
Authors: Scott Miller, Donald Childers
2nd edition
123869811, 978-0121726515, 121726517, 978-0130200716, 978-0123869814
