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Question 557950: You are conducting a survey at a college with 800 students, 50 faculty members,
and 150 administrators. Each of these 1,000 individuals has a single listing in
the campus phone directory. Suppose you were to cut up the directory and pull
out one listing at random to contact. What is the probability it would be (a) a student,
(b) a faculty member, (c) an administrator, (d) a faculty member or administrator,
and (e) anyone except an administrator? (f) Explain your answers to
someone who has never had a course in statistics.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! number of students = 800
number of faculty members = 50
number of administrators = 150
total = 1000
assuming the selection was random, then:
probability it would be a student would be 800 / 1000
probability it would be a faculty member would be 50 / 1000
probability it would be an administrator would be 150 / 1000
probability it would be a faculty member or an administrator would be 200 / 1000
probability it would be anyone except an administrator would be 850 / 1000
the probability it would be any number of a certain type is the number of occurrences of that type divided by the number of total occurrences.
in the case of the faculty member or administrator, this assumes that a person is not a faculty member and an administrator at the same time.
the generic term for this is that each type is mutually exclusive which means that you can't have a member of one type being also a member of the other type.
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