Assume that, at the University of Frankfurt, Management and Engineering graduate students must take a similar statistics course during their studies. The university would like to assess the association between the placement of students in the Management and Engineering faculties and their final grade in the course. For this purpose, the university has categorized students' grades in the past five years into six groups of 90-100, 80-90, 70-80, 60-70, 50-60, and less than 50. The table below summarizes the distribution of the grades by faculty. Please note that the values in the table correspond to the number of students in each category.