SOLUTION: Suppose a study of the faculty at U.S. medical schools revealed that 38% of the faculty were women and 62% were men. Of the female faculty, 32% were full/associate professors, 47%

Question 1130292: Suppose a study of the faculty at U.S. medical schools revealed that 38% of the faculty were women and 62% were men. Of the female faculty, 32% were full/associate professors, 47% were assistant professors, and 21% were instructors. Of the male faculty, 52% were full/associate professors, 38% were assistant professors, and 10% were instructors. If a faculty member at a U.S. medical school selected at random held the rank of full/associate professor, what is the probability that the faculty member was female? (Round your answer to two decimal places.)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Use 10000 people
-------F-Assoc---------Assis-----Instruc---Total
M---------3224-----------2356--------620------6200
W---------1216-----------1786--------798------3800
total-----4440-----------4142--------1418-----10000
Select a full/assoc, (4440), the probability it would be a woman is 1216/4440 or 0.2739
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