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 Full Time 423 394 74 891 Status Part Time 399 595 46 1,040 Totals 822 989 120 1,931 Develop a joint probability table for these data (to 3 decimals). Undergraduate Major Business Engineering Other Totals Intended Enrollment Full-Time Status Part-Time Totals Use the marginal probabilities of undergraduate major (Business, Engineering, or Other) to comment on which undergraduate major produces the most potential MBA students. 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)? 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? Icon Key Previous Question 4 of 15 Next
ANSWER:
A full-time or part-time student. A summary of their responses follows. Undergraduate Major Business Engineering Other Totals Intended Enrollment Full Time 423 394 74 891 Status Part Time 399 595 46 1,040 Totals 822 989 120 1,931 Develop a joint probability table for these data (to 3 decimals). Undergraduate Major Business Engineering Other Totals Intended Enrollment Full-Time Status Part-Time Totals Use the marginal probabilities of undergraduate major (Business, Engineering, or Other) to comment on which undergraduate major produces the most potential MBA students. 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).
1) dividing each cell value with 1931,
Business | Engg | Other | Total | |
full time | 0.219 | 0.204 | 0.038 | 0.461 |
part time | 0.207 | 0.308 | 0.024 | 0.539 |
Total | 0.425 | 0.512 | 0.0621 | 1.000 |
2) Engineering |
3)P(Engineering major|full time)=394/891= | 0.442 |
4) P(full time|business)=423/822= | 0.514 |
5)
NO as P(A|B) is not equal to P(A) |
Students taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent...
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 352 197 251 800 Part-Time 150 161 194 505 Totals 502 358 445 1,305 If required, round your answers to four decimal places. (a) Develop a joint probability table for these data. Undergraduate Major Business Engineering Other Totals...
Students taking a test 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 Totals Business Engineering Other Intended Enrollment Status Full-Time 354 199 253 806 Part-Time 150 160 195 505 Totals 504 359 448 1,311 (a) Develop a joint probability table for these data. (Round your...
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