33. Intent to Pursue MBA. Students taking the Grad (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. Totals Intended Enrollment Status Full-Time Part-Time Totals 800 505 Undergraduate Major Business Engineering Other 352 197 251 150 161 194 502 358 445 1305 students. a. Develop a joint probability table for these data b. Use the marginal probabilities of undergraduate major (business, engineering, M other) to comment on which undergraduate major produces the most potential MBA c. If a student intends to attend classes full-time in pursuit of an MBA degree, what is d. If a student was an undergraduate business major, what is the probability that the c. Let A 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 A and B independent? Justify your answer. 24 TE