The following contingency table cross-classifies medical school faculty by the characteristics gender and rank.

	Male G1	Female G2	Total
Professor R1	21,224	3,194	24,418
Associate Professor R2	16,332	5,400	21,732
Assistant Professor R3	25,888	14,491	40,379
Instructor R4	5,775	5,185	10,960
Other R5	781	723	1,504
Total	70,000	28,993	98,993

A) Find P(R2)

B) Find P(R2|G1)

C) Are events G1 and R2 independent? Show probability numbers that support your answer

D) Find P(R4 and G2)

E) Find P(R4 or G2)

F) Are events R4 and G2 mutually exclusive?