Medical School Faculty. The Association of American Medical Colleges (AAMC) compiles data on medical school faculty and
Question:
Medical School Faculty. The Association of American Medical Colleges (AAMC) compiles data on medical school faculty and publishes the results in AAMC Faculty Roster. The following contingency table cross-classifies medical school faculty by the characteristics gender and rank. Rank Gender Male Female G1 G2 Total Professor 21,224 3,194 24,418 R1 Associate professor 16,332 5,400 21,732 R2 Assistant professor 25,888 14,491 40,379 R3 Instructor 5,775 5,185 10,960 R4 Other 781 723 1,504 R5 Total 70,000 28,993 98,993
a. Find P(R3).
b. Find P(R3 | G1).
c. Are events G1 and R3 independent? Explain your answer.
d. For a medical school faculty member, is the event that the person is female independent of the event that the person is an associate professor? Explain your answer.
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