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 Intended Enrollment Status Full-Time Part-Time 352 197 251 800 150 161 194 505 Totals 502 358 445 1,305 a. Develop a joint probability table for these data (to 4 decimals). Undergraduate Major Business Engineering Other Totals Intended Full-Time Enrollment Status Part-Time 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. Business 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 (to 4 decimals)? 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 (to 4 decimals)