www.youtube.com Recommended: Sunjai Willi.. Undergraduate Major Business Engineering Other Totals Intended Full-Time 370 191 239 Enrollment Part-Time Status 165 162 186 513 Totals 535 353 425 1,313 a. Develop a joint probability table for these data (to 4 decimals). Undergraduate Major Business Engineering Other Totals Intended Full-Time 0.2818 0.1454 0.1820 0.6092 Enrollment Part-Time Status 0.1257 0.1234 0.1417 0.3907 Totals 0.4074 0.2689 0.3237 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)? 0.2388 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)? 0.4953 X e. Let F denote the event that 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