Forty percent of the faculty teach online classes and 25% of the faculty teach part time. Of the part time faculty, 60% have taught an online class.

A = event that a faculty member teaches an online class

B = event that a faculty member is part time.

a. Find P(A AND B)=

b. Find P(B|A)=

c. Find P(A OR B)

d. Using an appropriate test, show whether A and B are independent.

e. Using an appropriate test, show whether A and B are mutually exclusive.