The following data were given in a study of a group of 1000 subscribers to a certain magazine: In reference to job, marital status. and education, there were 312 professionals, 470 married persons, 525 college graduates, 42 professional college graduates, 147 married college graduates, 86 married professionals, and 25 married professional college graduates. Show that the numbers reported in the study must be incorrect. Hint: Let M, W, and G denote, respectively, the set of professionals, married persons, and college graduates. Assume that one of the 1000 persons is chosen at random, and use Proposition 4.4 I to show that if the given numbers are correct, then P ( M ∪ W ∪ C ) > 1 .
The following data were given in a study of a group of 1000 subscribers to a certain magazine: In reference to job, marital status. and education, there were 312 professionals, 470 married persons, 525 college graduates, 42 professional college graduates, 147 married college graduates, 86 married professionals, and 25 married professional college graduates. Show that the numbers reported in the study must be incorrect. Hint: Let M, W, and G denote, respectively, the set of professionals, married persons, and college graduates. Assume that one of the 1000 persons is chosen at random, and use Proposition 4.4 I to show that if the given numbers are correct, then P ( M ∪ W ∪ C ) > 1 .
The following data were given in a study of a group of 1000 subscribers to a certain magazine: In reference to job, marital status. and education, there were 312 professionals, 470 married persons, 525 college graduates, 42 professional college graduates, 147 married college graduates, 86 married professionals, and 25 married professional college graduates. Show that the numbers reported in the study must be incorrect.
Hint: Let M, W, and G denote, respectively, the set of professionals, married persons, and college graduates. Assume that one of the 1000 persons is chosen at random, and use Proposition 4.4 I to show that if the given numbers are correct, then
P
(
M
∪
W
∪
C
)
>
1
.
A survey of 400 school empl yielded the following information: 295 were instructors, 215 were full-time faculty, and 170 ofthe instructors were full-time faculty. How many of the 400 surveyed school employees were instructors or were full-time faculty?
A survey of 300 workers yielded the following information:
231 workers belonged to a union and 195 were Democrats. If 172 of the union members were Democrats, how many workers were neither belonged to a union nor were Democrats?
The customer satisfaction ratings shown below were received from four resto
bars named A, B, C, and D. Each resto bar reported an "average" of 90. For
which set of ratings does the resto bar's claim hold true?
80, 86, 95, 92, 90
O80, 85, 90, 95, 100
O93, 92, 90, 90, 91
O85, 90, 90, 90, 90
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