Bayes Networks problem












0












$begingroup$


I'm having some issues with the following problem, anyone knows the answers?



Problem:



At school, there is an alarm that rings at the top of every hour. The alarm is started by
the custodian, who sometimes falls asleep and sometimes goes out to run quick errands.
Hence, sometimes the alarm does not ring. More rarely, the alarm is just broken.



Assignments:




  1. Define the variables that are needed to model the problem in the form of a Bayes
    Network. Please work ONLY with Boolean variables.

  2. Draw a Bayesian network for this problem domain.

  3. Suppose that the probability that the alarm works correctly when started is x if not
    broken (y if the alarm is broken). Write the conditional probability table for the fact
    that the alarm rings, conditioned on all parents in your Bayes network.

  4. Suppose that the alarm always works correctly except when it is faulty, in which
    case it never sounds. Write the conditional probability table for the fact that the
    alarm rings, conditioned on all parents in your Bayes network.

  5. Suppose we know that:


    • the alarm is working properly

    • custodian is working (not sleeping, and not running errands)

    • alarm sounds
      Write an expression for the probability that we are at the top of the hour, showing all
      your steps.












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  • $begingroup$
    Welcome to stackexchange. That said, this question is likely to receive downvotes and votes to close rather than useful answers because you show no work of your own. Just saying you have "some issues" tells us nothing. Please edit the question, including what you have done so far and just where you are stuck. Then perhaps we can help.
    $endgroup$
    – Ethan Bolker
    Jan 7 at 16:58
















0












$begingroup$


I'm having some issues with the following problem, anyone knows the answers?



Problem:



At school, there is an alarm that rings at the top of every hour. The alarm is started by
the custodian, who sometimes falls asleep and sometimes goes out to run quick errands.
Hence, sometimes the alarm does not ring. More rarely, the alarm is just broken.



Assignments:




  1. Define the variables that are needed to model the problem in the form of a Bayes
    Network. Please work ONLY with Boolean variables.

  2. Draw a Bayesian network for this problem domain.

  3. Suppose that the probability that the alarm works correctly when started is x if not
    broken (y if the alarm is broken). Write the conditional probability table for the fact
    that the alarm rings, conditioned on all parents in your Bayes network.

  4. Suppose that the alarm always works correctly except when it is faulty, in which
    case it never sounds. Write the conditional probability table for the fact that the
    alarm rings, conditioned on all parents in your Bayes network.

  5. Suppose we know that:


    • the alarm is working properly

    • custodian is working (not sleeping, and not running errands)

    • alarm sounds
      Write an expression for the probability that we are at the top of the hour, showing all
      your steps.












share|cite|improve this question









$endgroup$












  • $begingroup$
    Welcome to stackexchange. That said, this question is likely to receive downvotes and votes to close rather than useful answers because you show no work of your own. Just saying you have "some issues" tells us nothing. Please edit the question, including what you have done so far and just where you are stuck. Then perhaps we can help.
    $endgroup$
    – Ethan Bolker
    Jan 7 at 16:58














0












0








0





$begingroup$


I'm having some issues with the following problem, anyone knows the answers?



Problem:



At school, there is an alarm that rings at the top of every hour. The alarm is started by
the custodian, who sometimes falls asleep and sometimes goes out to run quick errands.
Hence, sometimes the alarm does not ring. More rarely, the alarm is just broken.



Assignments:




  1. Define the variables that are needed to model the problem in the form of a Bayes
    Network. Please work ONLY with Boolean variables.

  2. Draw a Bayesian network for this problem domain.

  3. Suppose that the probability that the alarm works correctly when started is x if not
    broken (y if the alarm is broken). Write the conditional probability table for the fact
    that the alarm rings, conditioned on all parents in your Bayes network.

  4. Suppose that the alarm always works correctly except when it is faulty, in which
    case it never sounds. Write the conditional probability table for the fact that the
    alarm rings, conditioned on all parents in your Bayes network.

  5. Suppose we know that:


    • the alarm is working properly

    • custodian is working (not sleeping, and not running errands)

    • alarm sounds
      Write an expression for the probability that we are at the top of the hour, showing all
      your steps.












share|cite|improve this question









$endgroup$




I'm having some issues with the following problem, anyone knows the answers?



Problem:



At school, there is an alarm that rings at the top of every hour. The alarm is started by
the custodian, who sometimes falls asleep and sometimes goes out to run quick errands.
Hence, sometimes the alarm does not ring. More rarely, the alarm is just broken.



Assignments:




  1. Define the variables that are needed to model the problem in the form of a Bayes
    Network. Please work ONLY with Boolean variables.

  2. Draw a Bayesian network for this problem domain.

  3. Suppose that the probability that the alarm works correctly when started is x if not
    broken (y if the alarm is broken). Write the conditional probability table for the fact
    that the alarm rings, conditioned on all parents in your Bayes network.

  4. Suppose that the alarm always works correctly except when it is faulty, in which
    case it never sounds. Write the conditional probability table for the fact that the
    alarm rings, conditioned on all parents in your Bayes network.

  5. Suppose we know that:


    • the alarm is working properly

    • custodian is working (not sleeping, and not running errands)

    • alarm sounds
      Write an expression for the probability that we are at the top of the hour, showing all
      your steps.









bayesian-network






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asked Jan 7 at 16:52









ThatGuyThatGuy

12




12












  • $begingroup$
    Welcome to stackexchange. That said, this question is likely to receive downvotes and votes to close rather than useful answers because you show no work of your own. Just saying you have "some issues" tells us nothing. Please edit the question, including what you have done so far and just where you are stuck. Then perhaps we can help.
    $endgroup$
    – Ethan Bolker
    Jan 7 at 16:58


















  • $begingroup$
    Welcome to stackexchange. That said, this question is likely to receive downvotes and votes to close rather than useful answers because you show no work of your own. Just saying you have "some issues" tells us nothing. Please edit the question, including what you have done so far and just where you are stuck. Then perhaps we can help.
    $endgroup$
    – Ethan Bolker
    Jan 7 at 16:58
















$begingroup$
Welcome to stackexchange. That said, this question is likely to receive downvotes and votes to close rather than useful answers because you show no work of your own. Just saying you have "some issues" tells us nothing. Please edit the question, including what you have done so far and just where you are stuck. Then perhaps we can help.
$endgroup$
– Ethan Bolker
Jan 7 at 16:58




$begingroup$
Welcome to stackexchange. That said, this question is likely to receive downvotes and votes to close rather than useful answers because you show no work of your own. Just saying you have "some issues" tells us nothing. Please edit the question, including what you have done so far and just where you are stuck. Then perhaps we can help.
$endgroup$
– Ethan Bolker
Jan 7 at 16:58










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