### Home > CCG > Chapter 10 > Lesson 10.2.2 > Problem 10-85

At the University of the Great Plains the following data about engineering majors was collected:

Engineering | Other major | ||

Live off campus | |||

Live on campus | |||

What is the conditional probability of living on campus, given that you know a student is an engineering major?

students are engineering majors. Of those, how many live on campus? Compare your answer to part (a) to the probability of living on campus.

Divide the total number of students who live on campus by the total number of students at the university.

Are the two events, {living on campus} and {engineering major} associated? Use the probabilities to explain why or why not.

Yes. The probability of an engineering student living on campus is much smaller than the probability of a student picked at random living on campus.