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
Intended Enrollment Status	Full-Time	375	197	251	823
Part-Time	150	161	194	505
Totals	525	358	445	1,328

If required, round your answers to four decimal places.

(a)

Develop a joint probability table for these data.

	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.

P(B) = , P(E) = , and P(O) = , so business is the undergraduate major that produces the most potential MBA students.

(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?

P (Engineering | Full-Time) =

(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?

P (Full-Time | Business) =