a. Find P(R3) b. Find P(R3|G1) c. Are events G1 and R3 are independent? Explain your answer

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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
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
Table 4A
a. Find P(R3)
b. Find P(R3|G1)
c. Are events G1 and R3 are 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.
Rank
Transcribed Image Text: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 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 Table 4A a. Find P(R3) b. Find P(R3|G1) c. Are events G1 and R3 are 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. Rank
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