Question 2. Students were asked the same questions for each year. The Stressed@Brock study asked for student average grades and for their answers to the following question: During a typical month of schooi, how often do you skip ciass? 1: Never 2: Rarely 3: Sometimes 4: Often 5: Almost Always In this question we want to see if there an association between lecture attendance and yearly grade average. Use the first year data for student grades (average yearl) and the response to this question school skip.1.00) construct the following contingency table. Grade - Class Attendancei C or less B A ( 30%) Tom\" 4or5 Total Assuming that a single student is randomly selected from the sample data: {a} What is the probability that the student skips class sometimes, often or almost always and has a B average grade? (b) What is the probability that the student has an average grade of B or less? (c) What is the probability that the student skips class rarely or never, given that sheihe has an A average grade? {d} Test at the 5% significance level the claim that the frequency of classes skipped and the average grade are independent. Should Hg be rejected? (Hint: use the X2 test of independence). Can we infer that there is an association between lecture attendance and first year grade average? (e) Based on your results in (d) what advice should Brock academic advisors and other student support workers give to students