Questions 2 and 6 are not the same problem. Make sure you read those problems carefully; they are referring to different sets of people!

College admissions is a complicated process. Texas Tech would like you to help analyze the enrollment process. Use the information below, answer questions 9-14. Assume that these probabilities are independent (e.g., Business majors are no more likely to be accepted or enroll than Sociology majors) and that students are part of one and only one college. First, the university evaluates applications. As of 2020, Texas Tech accepted 70% of applicants. . For applicants who were accepted, 50% will enroll at Texas Tech. 30% of accepted applicants will enroll at another school in Texas. For accepted applicants who enroll at Texas Tech, students will declare majors in colleges at the following probabilities: Agricultural Sciences: 7% Architecture: 2% . . Arts and Sciences: 32% Business: 18% . . . Education: 5% Engineering: 14% Human Sciences: 12% Media and Communications: 10% 1. What percent of applicants will be accepted to Texas Tech but not enroll at Tech? 2. What percent of applicants will be accepted to Texas Tech but enroll at another school in Texas? 3. What percent of applicants will be accepted to Texas Tech, enroll at Tech, and declare a major in the college of Arts and Sciences? 4 . What percent of applicants will not end up with a major in Arts and Sciences? 5 . What percent of students enrolled at Texas Tech will graduate from any college except Human Sciences? . What percent of accepted applicants will attend another Texas school