A college finds that 10% of students have taken a distance learning class and that 40% of students are part-time students. Of the part-time students, 20% have taken a distance learning class. Let D = event that a student takes a distance learning class and E = event that a student is a part-time student.

a. Find P(D AND E)
b. Find P(E | D)
c. Find P(D OR E)