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 Intended Enrollment Status Full-Time Part-Time Intended Enrollment Status Full-Time Part-Time Business 344 Totals 170 Totals 514 a. Develop a joint probability table for these data (to 4 decimals). Engineering 200 Business 169 369 Undergraduate Major Engineering Other 238 Other 196 434 Totals 782 535 1,317 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 4 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 4 decimals)? e. Let F denote the event that 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? Justify your answer. Select your answer - , because P(F|B) Select your answer - P(F).
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 Intended Enrollment Status Full-Time Part-Time Intended Enrollment Status Full-Time Part-Time Business 344 Totals 170 Totals 514 a. Develop a joint probability table for these data (to 4 decimals). Engineering 200 Business 169 369 Undergraduate Major Engineering Other 238 Other 196 434 Totals 782 535 1,317 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 4 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 4 decimals)? e. Let F denote the event that 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? Justify your answer. Select your answer - , because P(F|B) Select your answer - P(F).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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