hw2[1]

hw2[1] - } ), and Y U { n-1 ,n,. .., 2 n-2 } . Determine:...

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ECE255AN Fall 2011 Homework set 2, due Thursday 10/13 1. Show that if X is distributed monotonically over the positive integers, namely X Z + and P ( X = i ) P ( X = i + 1) for all i 1, then E (log X ) H ( X ) E ( X ) . 2. Let X U { 1 ,...,n } (namely uniformly distributed over { 1 ,...,n
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Unformatted text preview: } ), and Y U { n-1 ,n,. .., 2 n-2 } . Determine: (a) H ( X + Y,X-Y ), (b) H (min( X,Y ) , max( X,Y )). Hint: 2 log n-2 /n 2 . 3. Chapter 2 problems 8, 20, 32. 4. Chapter 3 problems 7, 8, 11. 1...
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