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Unformatted text preview: The Hebrew University of Jerusalem Introduction to Information Theory Course 67548, winter 20072008. Final examination, moed A. Lecturer: Prof. Michael Werman May 1, 2008 Instructions: There are 4 questions (some of which are subdivided into parts). You can get at most 100 points (1 point is a free bonus). You are to answer 3 questions out of 4. If you answer all 4 questions please specify clearly which three to grade. Otherwise, the answer appearing last will be ignored. There are some helpful formulas on the last page. Justify your answers, but be brief. 1. 33 points Let X and Y be two discreet random variables with X taking 3 distinct values and Y taking 2 distinct values. The joint probability distribution p ( X,Y ) is defined by the following table: p = 1 4 1 12 1 6 1 12 1 4 1 6 . Compute the following (you can express the results in terms of log 3): (a) [7 points] H ( X,Y )....
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 Spring '08
 MichaelWerman
 Probability, Probability distribution, Probability theory, Probability space

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