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# The following data were given in a study of a groupof 1000

ISBN: 9780136033134 163

## Solution for problem 14 Chapter 2

First Course in Probability | 8th Edition

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Problem 14

The following data were given in a study of a groupof 1000 subscribers to a certain magazine: In referenceto job, marital status, and education, therewere 312 professionals, 470 married persons, 525college graduates, 42 professional college graduates,147 married college graduates, 86 marriedprofessionals, and 25 married professional collegegraduates. Show that the numbers reported in thestudy must be incorrect.Hint: Let M, W, and G denote, respectively, theset of professionals, married persons, and collegegraduates. Assume that one of the 1000 personsis chosen at random, and use Proposition 4.4 toshow that if the given numbers are correct, thenP(M W G) > 1.

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