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
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.