Full Time 4 Part Time 5 Total 6 7 8 9 Full Time 10 Part Time 11 Total 12 13 Part C 14 15 Part D 16 Business Engineering 420 401 821 21 Part D 22 17 Question Prompts for Parts C & D 18 19 Part C 20 302 504 988 Other 77 44 121 Part A: Joint Probability Table Business Engineering Other Total 880 1038 1928 Total Develop a joint probability table for these data in the blue cells Place your values in the green cells (to 3 decimals) Full Time Part Time Totals Part C: Part D Business #N/A #NA #N/A ONIA NA Part A: Formulas Used Engineering INA #N/A #NA Other ANA #N/A #N/A Totals UNIA NA ANA 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? X 1234567899E 10 11 12 13 14 template G Full Time Part Time Totals Develop a joint probability table for these data in the blue cells. Place your values in the green cells (to 3 decimals). Part C: H Part D: Business #N/A #N/A #N/A #N/A I #N/A Part A: Formulas Used Engineering #N/A #N/A #N/A Other #N/A #N/A #N/A K Totals #N/A #N/A #N/A 15 16 17 18 19 BA degree, what is the probability that the student was an undergraduate Engineering major (to 3 decimals)? 20 21 probability 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). Intended Enrollment Status Full-Time Part-Time Totals Business Engineering Other Totals 000 000 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)? Business d. If a student was an undergraduate 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