Imagine we have the following data about a marketing strategy. Let's assume the company sent out some promotion material to various houses and recorded a few facts about each house and also whether the people responded or not: Examples District House Type Income Previous Customer Outcome Suburban Detached High No Nothing Suburban Detached High Yes Nothing Rural Detached High No Responded Urban Semi-detached High No Responded Urban Semi-detached Low No Responded Urban Semi-detached Low Yes Nothing Rural Semi-detached Low Yes Responded Suburban Terrace High No Nothing Suburban Semi-detached Low No Responded Urban Terrace Low No Responded Suburban Terrace Low Yes Responded 12 Rural Terrace High Yes Responded 13 Rural Detached Low No Responded Urban Terrace High Yes Nothing Required: a) Calculate the Average Entropy of this training data. (3 Marks) b) Calculate the Average Entropy due to each attribute. (12 Marks) c) Which is the best attribute to have as the root node in the construction of the decision tree? Show all your workings. (2 Marks) d) Construct an appropriate Decision Tree for the above data until you reach the proper identification of all the samples.. (13 Marks)