Table 3 depicts a dataset regarding the weather when a person will play tennis. Considering PlayTennis as the class attribute, Figure 1 depicts a possible decision tree built using Table 3 as the training set. a. (12 points) Show that the choice of Humidity at the root level is correct. Use GINI index as the measure of purity/impurity b. (12 points) Show that the choice of the Wind at the second level is correct. Use entropy as the measure of purity/impurity List a tuple so that the decision tree in Figure 1 agrees with it. List a tuple so that the decision tree in Figure 1 will make wrong prediction regarding it. c. (4 points) d. (4 points) Table 3 PlayTennis Wind Strong Weak Strong Weak Strong Weak Weak Strong OutcastTemperature Humidity Cool Hi Yes Normal Sunny Rain Rain Rain Rain Hi Normal Normal Normal Yes Yes No Yes Hi Normal Sunny Figure 1 Humidity Norma High Wind No Weak Strong Table 3 depicts a dataset regarding the weather when a person will play tennis. Considering PlayTennis as the class attribute, Figure 1 depicts a possible decision tree built using Table 3 as the training set. a. (12 points) Show that the choice of Humidity at the root level is correct. Use GINI index as the measure of purity/impurity b. (12 points) Show that the choice of the Wind at the second level is correct. Use entropy as the measure of purity/impurity List a tuple so that the decision tree in Figure 1 agrees with it. List a tuple so that the decision tree in Figure 1 will make wrong prediction regarding it. c. (4 points) d. (4 points) Table 3 PlayTennis Wind Strong Weak Strong Weak Strong Weak Weak Strong OutcastTemperature Humidity Cool Hi Yes Normal Sunny Rain Rain Rain Rain Hi Normal Normal Normal Yes Yes No Yes Hi Normal Sunny Figure 1 Humidity Norma High Wind No Weak Strong