For the dataset we discussed in lecture (for playing tennis), show in steps how you build a decision Tree with a maximum depth of 3 (i.e., you can ask maximum of 3 questions) using Entropy measure (instead of classification accuracy). To learn about Entropy (and other measures too), check the attached document for details.

Day 1 2 3 4 5 6 7 8 9 10 11 Outlook Temperature Humidity Sunny Hot High Sunny Hot High Overcast Hot High Rain Mild High Rain Cool Normal Rain Cool Normal Overcast Cool Normal Sunny Mild High Sunny Cool Normal Rain Mild Normal Sunny Mild Normal Overcast Mild High Overcast Hot Normal Rain Mild High Wind Weak Strong Weak Weak Weak Strong Strong Weak Weak Weak Strong Strong Weak Strong Play Tennis No No Yes Yes Yes No Yes No Yes Yes Yes Yes Yes No 12 13 14