A teacher has found that the probability that a stu- dent studies for a test is 0.60, the probability that a student gets a good grade on a test is 0.70, and the probability that both occur is 0.52....

A teacher has found that the probability that a stu-
dent studies for a test is 0.60, the probability that a student gets

a good grade on a test is 0.70, and the probability that both
occur is 0.52.
a. Are these events independent?
b. Given that a student studies, find the probability that the
student gets a good grade.
c. Given that a student gets a good grade, find the probability
that the student studied.