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3. Students taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent to pursue their MBA as a full-time or part-time student. A summary of their response follows. Intended Full-Time Enrollment Part-Time Undergraduate Major Business Engineering Other 352 197251 150 161 194 502 358 445 Totals 800 505 1305 Status Totals a. If a student was an undergraduate business major, what is the probability that the student intends to attend classes full-time in pursuit of an MBA degree? b. If a student intends to attend classes full-time in pursuit of an MBA degree, what is the probability that the student was an undergraduate engineering major? C. Let F denote the event that the student intends to attend classes full-time in pursuit of an MBA degree, and let B denote the event that the student was an undergraduate business major. Are events F and B independent? Justify your