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A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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
Transcribed Image Text: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.
X
Open spreadsheet
a. Develop a joint probability table for these data (to 3 decimals).
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.
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 3 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 3 decimals)?
e. Let A 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 A and B independent?

Transcribed Image Text:Full Time
Part Time
Totals
Full Time
Part Time
Totals
Part C:
Undergraduate Major
Business Engineering Other
423
401
824
Totals
392
75
890
594
44
1039
986
119
1929
Develop a joint probability table for these data in the blue cells.
Place your values in the green cells (to 3 decimals).
Part A: Joint Probability Table
Business
Part A: Formulas Used
Engineering Other
Totals
Business
Engineering
Other
Totals
Full Time
#N/A
#N/A
#N/A
#N/A
Part Time
#N/A
#N/A
#N/A
#N/A
Totals
#N/A
#N/A
#N/A
#N/A
Part C:
#N/A
Part D:
#N/A
Part D:
Question Prompts for Parts C & D
Part 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 3 decimals)?
Part 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 3 decimals)?
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