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 responses follows Undergraduate Major Business Engineering Other Totals 399 197 251 847 Intended Full-Time Enrollment Part-Time Status Totals 150 161 194 505 549 358 445 1,352 If required, round your answers to four decimal places (a) Develop a joint probabilty table for these data. Undergraduate Major Business Engineering Other Totals Full-Time Intended Enrollment Status Part-Time Totals 50 (b) Use the marginal probabilities of undergraduate major (business, engineering, or other) to comment on which undergraduate major produces the most potential MBA students P(B) = P(E) - and PCO) - Select your answer. is the undergraduate major that produces the most potential MBA students (c) 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? P (Engineering | Full-Time) - (b) Use the marginal probabilities of undergraduate major (business, engineering, or other) to comment on which undergraduate major produces the most potential MBA students. P(8) - P(E)- and PCO) - 1,50 - Select your answer is the undergraduate major that produces the most potential MBA students. (c) 1 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? P (Engineering | Full Time) (d) 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? P (Full-Time | Business) - () 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 independent? - Select your answer - Justify your answer. (1) P (Full-Time Business) - P (Full Time). Therefore, attending Full-Time classes and being an undergraduate business major are not independent events (II) P (Full-Time Business) . P (Full-Time). Therefore, attending Full-Time classes and being an undergraduate business major are independent events. (HI) P (Full-Time Business) - P (Full Time). Therefore, attending Full-Time classes and being an undergraduate business major are not independent events. (iv) P (Full-Time Business) - P (Full Time). Therefore, attending Full-Time classes and being an undergraduate business major are independent events. - Select your
