Develop a joint probability table for these data in the blue cells. Place your values in the green cells (to 3 decimals). Question Prompts for Parts C \& D Part 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 Part 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 degi BA orobability that the student intends to attend classes full-time in pursuit of an MBA degree (to 3 decimals)? 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. a. Develop a joint probability table for these data (to 3 decimals). 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 Engineering Other 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 3 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 3 decimals)? e. Let A 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 A and B independent? Yes, they are independent No, they are dependent