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. Open spreadsheet Develop a joint probability table for these data (to 3 decimals). Undergraduate Major Business Engineering Other Totals Intended Enrollment Status Full-Time Part-Time Totals Use the marginal probabilities of undergraduate major (Business, Engineering, or Other) to comment on which undergraduate major produces the most potential MBA students. _________ 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)? 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)? 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?

Full Time Part Time Totals Undergraduate Major Business Engineering Other 420 392 400 591 46 820 983 121 Totals 887: 1037 1924 Develop a joint probability table for these data in the blue cells. Place your values in the green cells (to 3 decimals). Part A: Joint Probability Table Business Engineering Other Totals Other Full Time Part Time Totals #N/A Full Time Part Time Totals Part A: Formulas Used Engineering #N/A #N/A #N/A Business #N/A #N/A #N/A Totals #N/A #N/A #N/A #N/A #N/A Part C: Part C: #N/A Part D: Part D: #N/A Question Prompts for Parts C&D Part 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)? 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 degree (to 3 decimals)? Full Time Part Time Totals Undergraduate Major Business Engineering Other 420 392 400 591 46 820 983 121 Totals 887: 1037 1924 Develop a joint probability table for these data in the blue cells. Place your values in the green cells (to 3 decimals). Part A: Joint Probability Table Business Engineering Other Totals Other Full Time Part Time Totals #N/A Full Time Part Time Totals Part A: Formulas Used Engineering #N/A #N/A #N/A Business #N/A #N/A #N/A Totals #N/A #N/A #N/A #N/A #N/A Part C: Part C: #N/A Part D: Part D: #N/A Question Prompts for Parts C&D Part 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)? 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 degree (to 3 decimals)