CITY FURL Students taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent to pursue the MBA as a full-time or part-time student. A summary of their responses follows. Undergraduate Major Business Engineering Other Totals Intended Full Time 361 197 251 809 Enrollment Part-Time 150 161 194 505 Status Total 511 358 445 1,314 If required, round your answers to four decimal places Totals (a) Develop a joint probability table for these data. Undergraduate Major Business Engineering Other Intended Full Time Enrollment Part-Time Status Totals (b) Use the marginal probabilities of undergraduate major business, engineering, or othee) to comment on which undergraduate major produces the most potential MBA students. PB) - PE) - and Po) - 50 - Select your answer Jis the undergraduate major that produces the most potential MBA students. (c) If a student intends to attend desses full-time in pursuit of an HBA degree, what is the probability that the student was an undergraduate engineering major? P(Engineering i Full Time) - (d) If a student was an undergraduate business major, what is the probability that the student intends to attend classes e-time in pursuit of an MBA degree? P (Full Time Business) (e) Let F denote the event that the student intends to attend classes full-time in pursuit of an MBA degree, and let a denote the event that the student was an undergraduate business major. Are events F and B independent? - Select your answer Justify your answer (1) (Full Time Business) - P(Full Time). Therefore, attending Full-Time classes and being an undergraduate business major are not independent events (W) P (Full Time Business) P (Full Time). Therefore, attending Full-Time classes and being an undergraduate business major are independent events. (III) P (Full Time Business) - Pulle). Therefore, attending Full-Time classes and being an undergraduate business major are not independent events. (iv) P (Full-Time Business) - P (Full Time). Therefore, attending Full Time classes and being an undergraduate business major are independent events Select your answer Check My Work 2 CITY FURL Students taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent to pursue the MBA as a full-time or part-time student. A summary of their responses follows. Undergraduate Major Business Engineering Other Totals Intended Full Time 361 197 251 809 Enrollment Part-Time 150 161 194 505 Status Total 511 358 445 1,314 If required, round your answers to four decimal places Totals (a) Develop a joint probability table for these data. Undergraduate Major Business Engineering Other Intended Full Time Enrollment Part-Time Status Totals (b) Use the marginal probabilities of undergraduate major business, engineering, or othee) to comment on which undergraduate major produces the most potential MBA students. PB) - PE) - and Po) - 50 - Select your answer Jis the undergraduate major that produces the most potential MBA students. (c) If a student intends to attend desses full-time in pursuit of an HBA degree, what is the probability that the student was an undergraduate engineering major? P(Engineering i Full Time) - (d) If a student was an undergraduate business major, what is the probability that the student intends to attend classes e-time in pursuit of an MBA degree? P (Full Time Business) (e) Let F denote the event that the student intends to attend classes full-time in pursuit of an MBA degree, and let a denote the event that the student was an undergraduate business major. Are events F and B independent? - Select your answer Justify your answer (1) (Full Time Business) - P(Full Time). Therefore, attending Full-Time classes and being an undergraduate business major are not independent events (W) P (Full Time Business) P (Full Time). Therefore, attending Full-Time classes and being an undergraduate business major are independent events. (III) P (Full Time Business) - Pulle). Therefore, attending Full-Time classes and being an undergraduate business major are not independent events. (iv) P (Full-Time Business) - P (Full Time). Therefore, attending Full Time classes and being an undergraduate business major are independent events Select your answer Check My Work 2