Q1 Suppose we have collected data from a group of students in a Statistical machine learning class with variables X1 = hours studied, X2 = grade point average, and Y = a binary output indicates if the student received grade 90 (Y = 1) or not (Y = *1). We learn a logistic regression model: 90+91X1+92X2 390' 1le 1 + 9()+91X1+92X2 with parameters do = 6,1 = 0.05, 6'2 = 1. [TOTAL: 15 points] (a) According to the logistic regression model, estimate the probability that a student who studies for 40h and has the grade point average of 3.5 gets a 90 grade in the Statistical machine learning class. [5 points] (b) According to the logistic regression model, how many hours would the student in part (a) need to study to have 50% chance of getting a 90 grade in the class