Homework SourseThe Clemson University Fact Book for 2007 shows that 123 of
The Clemson University Fact Book for 2007 shows that 123 of the university\'s 338 assistant professors were women, along with 76 of the 263 associate professors and 73 of the 375 full professors.
| Are the rank and gender of Clemson professors independent? How do you know? | |||||||||
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Solution
correct answer is D Rank and gender are not independent because the probabilities P(woman) and P(full professors) are not the same.
by P(woman) they mean (probability that a professor is a woman)
= (number of female profs) / (number of profs)
= (123 + 76 + 73) / (338 + 263 + 375)
= 272 / 976
= 0.279
P(woman | full prof)
= probability that a full prof is a woman
= p(number of female full profs) / (number of full profs)
= 73 / 375
= 0.195
