a. Develop a joint probability table for these data (to 3 decimals). Intended Enrollment Status Full-Time Part-Time Totals Undergraduate Major Business Engineering Other 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. 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 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?

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