You have a friend who only does one of four things on every Saturday afternoon: go shopping, watch a movie, play tennis, or just stay in$.$ You have observed your friend$$s behavior over $11$ different weekends. On each of these weekends you have noted the weather $($sunny$,$ windy, or rainy$),$ whether her parents visit $($visit or no$-$visit$),$ whether she has drawn cash from an ATM machine $($rich or poor$),$ and whether she had an exam during the coming week $($exam or no$-$exam$).$

You have built the following data table:

You now want to build a decision tree to predict the activity of your friend on any future Saturday afternoon from the observed values of Weather, Parents, Cash, and Exam.

i$.$ Suppose that you want to build a very simple decision tree that allows you to predict the value of Decision from a single observable attribute $($Weather$,$ Parents, Cash, or Exam$).$ What would be this attribute? If there is a tie among several attributes give each of them. For each attribute that you have selected for each value of this attribute, give the answer that the decision tree would give using the majority rule, as well as the number of misclassified examples.

ii$.$ Draw the full tree that correctly classifies all the examples.