1 Naive Bayes Each Friday before sleep, Ethan decidll whether to play tennis tomorrow. His decision is based on the features summarizing the weather and his amount of exercise in the past ve days. The features are: a The number of hot days (H). o The number of windy days (W) o The number of days Ethan goes to the gym (G). All features have integer values from 0 to 5. Let's assume these values are sampled from binomial distribu- tions. Here are our observations: H w G Play (P) 3 5 4 No 4 2 2 Yes 1 3 4 No 3 1 D Yes (a) Suppose we want to predict whether Ethan will play or not, given the features. What is the assumption of the Naive Bayes model in this context? (b) What is the probability that Ethan will play given H = 0, W = 4, and G = 2