Q1) In survey of MBA students, 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) Develop a joint probability table for these data.
b) Use marginal probabilities of school cost or convenience, school quality, and other to comment on most significant reason for selecting a school.
c) If a student goes full time, determine the probability that school quality is first reason for selecting a school?
d) if student goes part time, determine the probability that school quality is first reason for choosing a school?
e) Let A denote event that student is full time and B denote event that student lists school quality as the first reason for applying. Are events A and B independent? Give explanation for your answer.