Question 1. Decision Theory [7 Points] Trained classifiers may be used to determine the polarity of sentiments expressed in a tweet as Positive or Negative. A tweet may be inherently Complimentary or Derogatory. There are two available classifiers for this task: A and B. Sixty percent of the tweets are Complimentary. The performance of the classifiers are shown in the tables below: Classifier A Positive Negative Complimentary 0.50 0.10 0.60 Derogatory 0.04 0.36 0.40 Classifier B Positive Negative Complimentary 0.54 0.06 0.60 Derogatory 0.10 0.30 0.40 Assume that there are no costs when a Complimentary tweet is classified as Positive or a Derogatory tweet is classified as Negative. a. The cost when a Complimentary tweet is classified as Negative is $1, and the cost when a Derogatory tweet is classified as Positive is $2. Which classifier should a risk- neutral rational decision maker choose? Why? [3 Points]