a. Develop a joint probability table for these data (to 3 decimals). Intended Enrollment Status Full-Time Part-Time Totals Undergraduate Major Business Engineering Other 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 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?

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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.
X
Open spreadsheet
a. Develop a joint probability table for these data (to 3 decimals).
Intended
Enrollment
Status
Full-Time
Part-Time
Totals
Business
Undergraduate Major
Engineering
Other
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: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). Intended Enrollment Status Full-Time Part-Time Totals Business Undergraduate Major Engineering Other 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?
Full Time
Part Time
Totals
Full Time
Part Time
Totals
Part C:
Part D:
Part C
Undergraduate Major
Business Engineering Other
Part D
420
400
820
394
593
987
75
45
120
Part A: Joint Probability Table
Business Engineering
Other
Totals
889
1038
1927
Totals
Develop a joint probability table for these data in the blue cells.
Place your values in the green cells (to 3 decimals).
Full Time
Part Time
Totals
Part C:
Part D:
Business
#N/A
#N/A
#N/A
#N/A
#N/A
Part A: Formulas Used
Engineering
#N/A
#N/A
#N/A
Other
#N/A
#N/A
#N/A
Question Prompts for Parts C & D
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)?
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)?
Totals
#N/A
#N/A
#N/A
Transcribed Image Text:Full Time Part Time Totals Full Time Part Time Totals Part C: Part D: Part C Undergraduate Major Business Engineering Other Part D 420 400 820 394 593 987 75 45 120 Part A: Joint Probability Table Business Engineering Other Totals 889 1038 1927 Totals Develop a joint probability table for these data in the blue cells. Place your values in the green cells (to 3 decimals). Full Time Part Time Totals Part C: Part D: Business #N/A #N/A #N/A #N/A #N/A Part A: Formulas Used Engineering #N/A #N/A #N/A Other #N/A #N/A #N/A Question Prompts for Parts C & D 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)? 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)? Totals #N/A #N/A #N/A
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