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) = (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. The input in the box below will not be graded, but may be reviewed and considered by your instructor

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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.

	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) =

(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.

The input in the box below will not be graded, but may be reviewed and considered by your instructor.

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