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.     Business Engineering Other Totals Full-Time 352 197 251 800 Part-Time 150 161 194 505 Totals 502 358 445 1305     Develop a joint probability table for these Use the marginal probabilities of undergraduate major (business, engineering, or other) to comment on which undergraduate major produces the most potential MBA 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? 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? Let A denote the event that the 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 A and B independent? Justify your answer.

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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.

 

 

Business

Engineering

Other

Totals

Full-Time

352

197

251

800

Part-Time

150

161

194

505

Totals

502

358

445

1305

 

 
  1. Develop a joint probability table for these
  2. Use the marginal probabilities of undergraduate major (business, engineering, or other) to comment on which undergraduate major produces the most potential MBA
  3. 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?
  4. 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?
  5. Let A denote the event that the 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 A and B independent? Justify your answer.
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