3. Shivani works at Masks4 Everyl, an internet startup that ships decorated, personalized COVID-19 masks to customers in various geographic regions in Illinois and surrounding states. Motivated by the surge of internet sales due to the Omicron variant, the startup is looking to expand into new geographic regions Shivani is tasked with building a model which can identify geographic regions in which Masks, Everyl will be profitable. Shivani compiled a training dataset (see table below) comprised of eleven geographic regions that are currently served by the company. avg. income pop. density # competitors profitable low rural yes low suburban no low suburban yes low urban no med suburban no med suburban HNOHNONOOON yes med urban no med urban yes high suburban yes high rural no high urban yes (a) Considering "profitable" as the target variable, which of the attributes would you select as the root in a decision tree that is constructed using the information gain impurity measure? (b) Use the Gini index impurity measure and construct the full decision tree for this data set. (c) Consider the following set of points as your test data. avg. income pop. density # competitors profitable Ow suburban yes med suburban yes HNON med suburban yes med suburban yes low rural no med suburban high HOOK suburban yes med urban yes What is the accuracy of your decision tree built in part (b) on the test data