An academic department with five faculty membersAnderson,

Chapter 2, Problem 27

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An academic department with five faculty membersAnderson, Box, Cox, Cramer, and Fishermust selecttwo of its members to serve on a personnel review committee.Because the work will be time-consuming, noone is anxious to serve, so it is decided that the representativeswill be selected by putting the names on identicalpieces of paper and then randomly selecting two.a. What is the probability that both Anderson and Box willbe selected? [Hint: List the equally likely outcomes.]b. What is the probability that at least one of the twomembers whose name begins with C is selected?c. If the five faculty members have taught for 3, 6, 7, 10,and 14 years, respectively, at the university, what is theprobability that the two chosen representatives have atotal of at least 15 years teaching experience there?

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