1. Suppose we collect data for a group of students in a statistics class with variablesX1=hours studied,X2= undergrad GPA, andY= receive an A. We fit alogistic regression and

produceestimated coefficient,0=6, 1= 0.05, 2= 1.

(a)Estimate the probability that a student who studies for 40hand has an undergrad GPA of 3.5, gets an A in the class.

(b)How many hours would the student in part (a) need to study to have a 50% chance of getting an A in the class?

Use R or R studio for this question. Besides answers and steps, please also prepare the.R filefor R script)