# A college finds that 10 %

**Question description**

**100. **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*).

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.

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