### Home > INT2 > Chapter 7 > Lesson 7.2.2 > Problem 7-84

7-84.

Engineering major | Other major | totals | |

Live off campus | | ||

Live on campus | | ||

totals | |

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? What is 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? Why?

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.