Conditional Probability Calculation in Bayes Net












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Say I have a simple Bayes Net that appears like that in the picture and am giving the following probabilities:



$P(y|x) = 0.5$



$P(z|x)=0.4$



$P(y|bar{x})=0.8$



$P(z|bar{x}) = 0.9 $



Bayes Net



How would I calculate the following, or is it not possible to calculate them? I think I need to know $P(x)$ to be able to calculate them:



$P(y)$



$P(x|y land z)$



$P(x|y)$










share|cite|improve this question











$endgroup$

















    0












    $begingroup$


    Say I have a simple Bayes Net that appears like that in the picture and am giving the following probabilities:



    $P(y|x) = 0.5$



    $P(z|x)=0.4$



    $P(y|bar{x})=0.8$



    $P(z|bar{x}) = 0.9 $



    Bayes Net



    How would I calculate the following, or is it not possible to calculate them? I think I need to know $P(x)$ to be able to calculate them:



    $P(y)$



    $P(x|y land z)$



    $P(x|y)$










    share|cite|improve this question











    $endgroup$















      0












      0








      0





      $begingroup$


      Say I have a simple Bayes Net that appears like that in the picture and am giving the following probabilities:



      $P(y|x) = 0.5$



      $P(z|x)=0.4$



      $P(y|bar{x})=0.8$



      $P(z|bar{x}) = 0.9 $



      Bayes Net



      How would I calculate the following, or is it not possible to calculate them? I think I need to know $P(x)$ to be able to calculate them:



      $P(y)$



      $P(x|y land z)$



      $P(x|y)$










      share|cite|improve this question











      $endgroup$




      Say I have a simple Bayes Net that appears like that in the picture and am giving the following probabilities:



      $P(y|x) = 0.5$



      $P(z|x)=0.4$



      $P(y|bar{x})=0.8$



      $P(z|bar{x}) = 0.9 $



      Bayes Net



      How would I calculate the following, or is it not possible to calculate them? I think I need to know $P(x)$ to be able to calculate them:



      $P(y)$



      $P(x|y land z)$



      $P(x|y)$







      bayesian-network






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Dec 6 '18 at 17:10







      Nate

















      asked Dec 6 '18 at 16:53









      NateNate

      1275




      1275






















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