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. 194 Undergraduate Major Business Engineering Other Totals Intended Full-Time 367 197 251 815 Enrollment Part-Time 150 161 505 Status Totals 517 358 445 1,320 If required, round your answers to four decimal places (a) Develop a joint probability table for these data, Undergraduate Major Business Engineering Other Totals Intended Full-Time Enrollment Part-Time Status Totals (b) Use the marginal probabilities of undergraduate major (business, engineering, or other) to comment on which undergraduate major produces the most potential MBA students. PB) 1.P(E)- J. and MO) - Select your answer Is the undergraduate major that produces the most potential MBA students. (C) If a student intends to attend classes folltime in pursuit of an MBA degree, what is the probability that the student was an undergraduate engineering major? (Engineering i Full Time) (a) If a student was an undergraduate business major, what is the probability that the student intends to attend classes roll-time in pursuit of an MBA degree? P (Full-Time Business) (c) let denote the event that the student intends to attend classes full-time in pursuit of an MBA degree, and let 8 denote the event that the student was on undergraduate business major. Are events and independent - Select your answer Justify your answer 30 P