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Simple joint probability distribution

  1. Nov 13, 2007 #1
    1. The problem statement, all variables and given/known data

    Let's say there are two machines, X and Y. X is connected to Y.

    * If X is turned on, Y turns on 50% of the time.
    * If Y turns on (through X being turned on) then it breaks 25% of the time.
    * Y won't break spontaneously and it can only be turned on through X.

    What is the joint probability distribution between Y turning on and Y breaking?
    Considering the set of times that X turns on, what is the mutual information between Y turning on and Y breaking (how many bits)?


    2. The attempt at a solution

    I'm not really sure how to start or how to make the joint probability distribution.
  2. jcsd
  3. Nov 13, 2007 #2


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  4. Nov 13, 2007 #3
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