Students taking the Graduate Management Admissions Test (GMAT) were asked about
ID: 2921618 • Letter: S
Question
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 Undergraduate Major Business Engineering Other Totals 352 150 502 251 194 445 800 505 1305 Full Time Intended Enrollment Part Time Status 197 161 358 Totals a. 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 b. Use the marginal probabilities of undergraduate major (Business, Engineering, or Other) to comment on which undergraduate major produces the most potential MBA students. -Select your answer- 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)?Explanation / Answer
a)
b) Business undergraduate major produces the most potential MBA students.
c) P(Engineering | Full time) = 197/800 = 0.246
d) P(Full time | Business major) = 352/502 = 0.701
Business Engineering Other Total Full time 352/1305 = 0.2697 197/1305 = 0.1510 251/1305 = 0.1923 0.613 Part Time 0.1149 0.1234 0.1487 0.387 Total 0.3846 0.2744 0.341 1