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Question 5 A candy manufacturer interviews a customer on his willingness to eat a candy of a particular colour or flavour. The following table shows

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Question 5 A candy manufacturer interviews a customer on his willingness to eat a candy of a particular colour or flavour. The following table shows the collected responses: For your information, log21=0,log22=1,log23=1.6,log24=2,log25=2.3 Also, log(x/y)=logxlogy (a) What is the information content of the feature edibility, I(Edibility)? Show your work. (2 marks) (b) What is the information content of the feature edibility knowing a particular colour, I(Edibility | Colour)? Show your work. ( 2 marks) (c) Which feature (colour or flavour) has the larger mutual information with edibility? ( 2 marks) (d) Draw the decision tree for predicting edibility that maximizes the information gain. (2 marks) (e) Using your decision tree, what would you predict for the edibility of a blue coloured, and cherry flavoured candy? (2 marks)

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