Question 2 [10 pts] - LDA and Log Odds Suppose that we wish to predict tip percentage class (A = 10%, B=15%, C=20%] for dinner that a customer would leave based on X, expenditure of the customer. We collect a large number of customers and discover that mean value of X for this three groups: X); = 5021);}; = 63,}?(3 = 43. In addition, the variance of X for all groups was 32 = 16. Finally, among the data we have, about 60% of customers take A, 30% take B, and the rest leave type C tip. Assume that X follows a Normal distribution. Recall that the density function for normal random variable is 1 flfl= 3 e[zpl'ana' Predict the probability that a customer will give 10% tip at X = 53. Predict the probability that a customer will give 15% tip at X = 53. \\Vbat is the log odds of giving 10% versus giving 15% that X=53'' What is the log odds of giving 10% versus giving 20% that X253? (a) [3 pts {b} [3 pts ((3) [2 pts [d] [2 pts A .. ... Pd.\" .-| H v