MATH 187 sample_quiz6_solution

MATH 187 sample_quiz6_solution - in this situation....

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Math 187 Prof. Garsia typed by Alex Brik 05-12-2009 Sample Quiz 6 Solution 1. YOU ARE DOING FINE 2. A 010 B 00000 C 0001 D 001 E 1 F 011 G 00001 Length = 670 1
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4. H ( X j Y ) is bits of information learned when given the value of X , assuming that the value of Y is known. H ( X ) is bits of information learned when given the value of X . Suppose the value of Y is known. If the value tells something about X , then certainly learning the value of X in this situation will convey less bits than if the value of Y was not known. That is H ( X j Y ) H ( X )
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Unformatted text preview: in this situation. However, if the value of Y is known but it does not tell anything about the value of X , then learning the value of X in this situation will convey the same number of bits as in the situation where the value of Y is not known. That is H ( X j Y ) = H ( X ) in this situation. Thus intuitively we have that H ( X j Y ) & H ( X ) with the equality in the case that X is independent of Y . 5. 2.7925 6. 1380 2...
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This note was uploaded on 05/22/2010 for the course MATH 187 taught by Professor Staff during the Spring '08 term at UCSD.

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MATH 187 sample_quiz6_solution - in this situation....

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