Question. An engineer working at METU Manuf. Co. is required to design a system to predict system fault. In the system, there are 4 machines. She has 10 samples for system fault. From the past experiences, she thinks that if she fits a classification tree to data, she may easily find the machines causing failure. Dataset is provided below (System Fault =Y refers to fault). Here M1, M2, M3, M4 are the attributes, all are binary variables showing the machine is running or not. M2 M3 M1 1 System Fault Y 1 M4 1 0 0 0 0 1 N Y 0 1 1 0 0 1 1 0 Y Y 0 1 0 1 Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 Sample 6 Sample 7 Sample 8 Sample 9 Sample10 1 0 1 0 N 0 1 0 0 Y 0 1 0 0 Y 0 0 1 Y 1 0 0 0 1 Y You are required to construct a classification tree (without using XLMiner) in order to find machines that cause system fault. Use Gini Index as an impurity measure. It will be sufficient to generate the tree for two levels. Draw the tree and illustrate which observations fall into which branch. Provide necessary calculations for splitting