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? Explain your answer