At a Particular University, a Study Has Shown That Students

Multiple Choice

At a particular university, a study has shown that students who live on campus are more likely to have GPAs over 3.0 than students who do not. A freshman at this university is randomly selected at the beginning of the fall term. Define events A = {the student lives on campus}, and B = {the student has a GPA over 3.0 at the end of the fall term}. According to the housing office, P(A) = .80. Which statement is definitely true about P(B|A) based on this information?

A) P(B|A) = .80
B) P(B|A) is greater than P(B|not A)
C) P(B|A) is less than P(B|not A)
D) P(B|A) = P(B|not A)