MAT103 Test 2-B (ch3 &4.1-4.2) SHOW ALL WORK 5. (20 pts) A college finds that 11% of students have taken a distance learning class and that 36% of students are part time students. Of the part time students, 12% 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(ED). c. Find P(D OR E) d. "Using an appropriate test, show whether D and E are independent. e. Using an appropriate test show whether D and E are mutually exclusive