Hw4_2700_s09 - ENGRD2700 Basic Engineering Probability and...

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ENGRD2700 Basic Engineering Probability and Statistics Spring 2009 Homework 4: More Probability and Random Variables. Hand in by 1:30 pm on Friday, February 27 in the ENGRD2700 dropbox. Be sure to write your name and section number (1–6) on your homework. Make sure that your homework pages are stapled together. This homework has 10 parts. NOTE: Your answers will, as always, be graded on the clarity of your writing as well as the correctness of the answer. You must show your work to receive full credit. 1. If a stick is broken at random into three pieces, what is the probability that the pieces can be put together in a triangle? Specifically, assume that the two break points are independent and chosen simultaneously. No one gave a correct solution to this (bonus) problem, so everyone can have another chance at it. You can either solve it with respect to the lengths of the 3 pieces or with respect to the location of the two breaks. The TAs suggested the former, but I think the latter is more straight forward given what’s been covered in class.
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