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Entropy question for 2 input 1 output system

  1. May 26, 2015 #1

    perplexabot

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    Hey all. I have a question regarding the solution to a question, both shown below (only part of the solution is shown). Specifically the line that states: H(Y|X) = H(Z|X). Why does this equality hold? Expanding and using the definition of entropy, I can see that for the above equality to hold, p(Y,X) must equal p(Z,X), right? I am not able to show this. Please some help will be greatly appreciated.

    Here is the question with part of the solution:
    2015-05-25-222302_1366x768_scrot.png
     
  2. jcsd
  3. May 26, 2015 #2

    perplexabot

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    Hey again! I found the answer to my question, here it is:
    temp_ans.png

    PS: Maybe a better name for this thread would have been "Entropy of sum question." I would have renamed it if I could.
    Thanks for reading.
     
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