BU School of Witchcraft and Wizardry is a school of magic that sends admission letters only to children with magical abilities. The admissions process for BU School of Witchcraft and Wizardry is as follows:- If both parents of the child have previously studied at BU, they do not need to reply to the admission letter. Otherwise they need to reply to the admissions letter by July 31. If they do not reply by the specified date, they are not accepted to the school. BU has 4 houses that students are sorted into by the sorting hat “Hayri”. These houses are; Gryffindor, Hufflepuff, Ravenclaw and Slytherin. Hayri sorts the students into houses according to 2 characteristics; braveness and intelligence.- If Hayri finds the student to be brave and intelligent, they are sorted into Gryffindor.- If the student is found to only be brave, they are sorted into Slytherin.- If the student is found to only be intelligent, they are sorted into Ravenclaw.- Finally, if they are neither brave nor intelligent, they are sorted into Hufflepuff.Draw the decision table and decision tree for the case above. Reduce the decision table if necessary. BU School of Witchcraft and Wizardry is a school of magic that sends admission letters only tochildren with magical abilities. The admissions process for BU School of Witchcraft and Wizardry is asfollows:If both parents of the child have previously studied at BU, they do not need to reply to theadmission letter. Otherwise they need to reply to the admissions letter by July 31. If they donot reply by the specified date, they are not accepted to the school.BU has 4 houses that students are sorted into by the sorting hat "Hayri". These houses are;Gryffindor, Hufflepuff, Ravenclaw and Slytherin. Hayri sorts the students into houses according to 2characteristics; braveness and intelligence.- If Hayri finds the student to be brave and intelligent, they are sorted into Gryffindor.- If the student is found to only be brave, they are sorted into Slytherin.If the student is found to only be intelligent, they are sorted into Ravenclaw.Finally, if they are neither brave nor intelligent, they are sorted into Hufflepuff.Draw the decision table and decision tree for the case above.Reduce the decision table if necessary.

The below images have the Decision Tree as well as the Decision Table for the given problem :

Answered: BU School of Witchcraft and Wizardry is…

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter19: Probabilistic Dynamic Programming

Section19.4: Further Examples Of Probabilistic Dynamic Programming Formulations

Problem 7P

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BU School of Witchcraft and Wizardry is a school of magic that sends admission letters only to
children with magical abilities. The admissions process for BU School of Witchcraft and Wizardry is as
follows:
- If both parents of the child have previously studied at BU, they do not need to reply to the
admission letter. Otherwise they need to reply to the admissions letter by July 31. If they do
not reply by the specified date, they are not accepted to the school.
BU has 4 houses that students are sorted into by the sorting hat “Hayri”. These houses are;
Gryffindor, Hufflepuff, Ravenclaw and Slytherin. Hayri sorts the students into houses according to 2
characteristics; braveness and intelligence.
- If Hayri finds the student to be brave and intelligent, they are sorted into Gryffindor.
- If the student is found to only be brave, they are sorted into Slytherin.
- If the student is found to only be intelligent, they are sorted into Ravenclaw.
- Finally, if they are neither brave nor intelligent, they are sorted into Hufflepuff.
Draw the decision table and decision tree for the case above.
Reduce the decision table if necessary.

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