3 - that you will analyse. You are allowed to collaborate...

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CS155 Probabilistic Methods in CS Upfal Homework 3 Due: Th, 8 Oct 2009, 1pm in Class Please follow these guidelines while writing up your CS 155 homeworks. A major goal of this class is to instruct you how to mathematically ana- lyze probabilistic processes and events. Hence make sure that your proofs are rigorous, insuring that every step is adequately justiFed. Attempt to keep your proofs as simple and as concise as possible, keeping in mind that you will potentially have to examine multiple proof strategies in order to achieve this. Make sure to CLEARLY STATE YOUR ASSUMPTIONS at the beginning of any problem for which this is necessary. As we are doing probabilistic analysis, we shall require that you clearly deFne the probabil- ity space over which you are working with and identify the events within it
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Unformatted text preview: that you will analyse. You are allowed to collaborate with other students on these problems. But, the write ups should be written by yourself without help from others. If you have any questions regarding how these guidelines apply to a particular problem or what they mean in general please post on the newsgroup or email the TAs. Put each homework problem on a separate sheet of paper and place your name on every sheet. Problem 1 Generalize the median-Fnding algorithm to Fnd the k th largest item in a set of n items for any given value of k . Prove that your resulting algorithm is correct and bound its running time. Problem 2 Excercise 3.7 from the book. Hint: Write the price of the stock on day d as a product of d random variables. Problem 3 Excercise 3.20 from the book....
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This document was uploaded on 11/03/2009.

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