A college finds that 8% of students have taken a distance learning class and that 20% 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. ☐ Part (a) Find P(D AND E). - Part (b) Find P(E | D). - Part (c) Find P(D OR E). Part (d) Are D and E independent? Explain. O D and E are dependent events because P(D AND E) = 0.5. ○ D and E are independent events because P(D | E) = P(D). ○ D and E are independent events because they are mutually exclusive. ○ D and E are dependent events because P(D | E) = P(D). > Part (e) Are D and E mutually exclusive? Explain. ○ The events are mutually exclusive because P(D AND E) = 0. ○ The events are mutually exclusive because they are independent. ○ The events are not mutually exclusive because P(D AND E) # 0. ○ The events are not mutually exclusive, which means they can be added together, and the sum is not 0.2. Submit Answer