You work in a weather forecasting company and your job as a machine learning expert is to design a decision tree which would predict whether it is going to rain today (WillRain? = 1) or not (WillRain? = 0). You are given a dataset D with the following attributes: IsHumid = {0,1}, IsCloudy (0,1), RainedYesterday (0,1} and Temp > 20 {0,1} To simplify your computations please use log2 (3) ~ IsHumid IsCloudy Rained Yesterday 1 1 0 0 0 1 1 0 1 0 1 1 1 1 0 1 1 0 0 0 1 0 0 1 Temp>20 0 0 0 1 1 1 0 1 WillRain? 1 0 0 0 0 1 0 0 (a) What is the entropy of the label 'WillRain??? (b) What should the proportion of the examples labeled WillRain?= 1 be, in order to get the maximum entropy value for the label? (c) Compute the Gain(D. IsCloudy).