In the survey of MBA students, the following data were obtained on "students" first reason for application to school in which they matriculated."
| Reason for application |
| |
|
School quality |
school cost |
Other |
Total |
| Enrollment |
Full time |
421 |
393 |
76 |
890 |
| status |
part time |
400 |
593 |
46 |
1039 |
| |
Total |
821 |
986 |
122 |
1929 |
a. Make a joint probability table for such data.
b. Employ the marginal probabilities of school quality, school cost or convenience, and other to comment on most important reason for selecting a school.
c. If a student goes full time, find out the probability that school quality is the first reason for selecting a school?
d. If a student goes part time, find out the probability that school quality is the first reason for selecting a school?
e. Let A denote the event that the student is full time and B denote the event that the student lists school quality as the first reason for applying. Are events A and B independent? Justify your answer.