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
Intended Enrollment Status	Full-Time	358	197	251	806
	Part-Time	150	161	194	505
	Totals	508	358	445	1,311

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) =

(e)

Let F 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 events F and B independent?

- Select your answer -YesNoItem 18

Justify your answer.

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Answer 1

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