In a survey of MBA students, the following data were obtained on students first reason test for

In a survey of MBA students, the following data were obtained on €œstudents€™ first reason test for application to the school in which they matriculated.€

a. Develop a joint probability table for these data.
b. Use the marginal probabilities of school quality, school cost or convenience, and other to comment on the most important reason for choosing a school.
c. If a student goes full time, what is the probability that school quality is the first reason for choosing a school?
d. If a student goes part time, what is the probability that school quality is the first reason for choosing a school?
e. Let A denote the event that a student is full time and let 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.

Transcribed Image Text:

Reason for Application School Quality 421 400 821 School Cost or Convenlence 393 593 986 Other 76 46 122 Totals 890 039 1929 Enrollment Status Full Time Part Time Totals