Q1. Calculating Gini index (15 pts) Assume that you need to take the PCR COVID-test before taking a foreign business trip. In general, two symptoms can predict a positive outcome from the test: high fever above 100.4F and loss of smell or taste. You would like to know which symptom is more efficient in predicting a positive test result. By using supervised segmentation, answer the following questions. " reters to postuve resuits ana N reters to negauve results trom the CUVIU tests. To predict the outcome, you prefer to use decision trees. You decide to build the trees with the depth of 2 like below. 1. To develop the trees above, what is the criteria for the first split (from Node 1 to Node 2 and Node 3)? Explain why. (7 pts) 2. Compute the Gini index of Node 4 and show your work. (8 pts)