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 325 197 251 773 150 161 194 505 Totals 475 358 445 1,278 If required, round your answers to four decimal places. (a) Develop a joint probability table for these data. Intended Full-Time Enrollment Part-Time Status 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. P(B) = ,P(E)= , and P(O) = , so business is the undergraduate major that produces the 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) = of an MBA degree?

MATLAB: An Introduction with Applications
6th Edition
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Chapter1: Starting With Matlab
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Need help on parts A, B, C, D, & E (i.e. all blank text-boxes)
4.
5.
6.
7.
8.
9.
●
O
●
O
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.
Intended
Full-Time
Enrollment Part-Time
Status
Totals
Intended
Enrollment
Status
If required, round your answers to four decimal places.
(a) Develop a joint probability table for these data.
Undergraduate Major
Business Engineering Other Totals
325
197
251
773
150
161
194
505
475
358
445
1,278
Full-Time
Part-Time
I
Totals
Business
Undergraduate Major
Engineering
Other
(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)=
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?
I
Totals
and P(O) =
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) =
Transcribed Image Text:4. 5. 6. 7. 8. 9. ● O ● O 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. Intended Full-Time Enrollment Part-Time Status Totals Intended Enrollment Status If required, round your answers to four decimal places. (a) Develop a joint probability table for these data. Undergraduate Major Business Engineering Other Totals 325 197 251 773 150 161 194 505 475 358 445 1,278 Full-Time Part-Time I Totals Business Undergraduate Major Engineering Other (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)= 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? I Totals and P(O) = 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) =
7.
8.
9.
♥
●
O
Intended
Full-Time
Enrollment Part-Time
Status
Totals
Intended
Enrollment
Status
Business Engineering Other Totals
325
197
251
773
150
161
194
505
358
445 1,278
If required, round your answers to four decimal places.
(a) Develop a joint probability table for these data.
475
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.
P(B) =
, P(E)=
, and P(O) =
(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?
so business is the undergraduate major that produces the most potential MBA students.
"
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 and
undergraduate business major. Are events F and B independent?
Select your answer - ✓
Transcribed Image Text:7. 8. 9. ♥ ● O Intended Full-Time Enrollment Part-Time Status Totals Intended Enrollment Status Business Engineering Other Totals 325 197 251 773 150 161 194 505 358 445 1,278 If required, round your answers to four decimal places. (a) Develop a joint probability table for these data. 475 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. P(B) = , P(E)= , and P(O) = (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? so business is the undergraduate major that produces the most potential MBA students. " 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 and undergraduate business major. Are events F and B independent? Select your answer - ✓
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