The following table shows the results of a survey of authors by a fictitious pub
ID: 2911340 • Letter: T
Question
The following table shows the results of a survey of authors by a fictitious publishing company.
Consider the following subsets of the set S of all authors represented in the table: C, the set of successful authors; U, the set of unsuccessful authors; N, the set of new authors; and E, the set of established authors.
Describe the set C N in words.
The set of authors who are either successful or new (or both).
The set of authors who are either unsuccessful or new (or both).
The set of authors who are successful but not new.
The set of authors who are both successful and new.
The set of authors who are both unsuccessful and new.
Describe the set C N in words.
The set of authors who are unsuccessful but not new.
The set of authors who are either successful or new (or both).
The set of authors who are both successful and new.
The set of authors who are both unsuccessful and new.
The set of authors who are either unsuccessful or new (or both).
Use the table to compute n(C), n(N), n(C N), and n(C N).
Does n(C N) = n(C) + n(N) n(C N)?
Yes
No
New Authors EstablishedAuthors Total Successful 6 23 29 Unsuccessful 13 55 68 Total 19 78 97
Explanation / Answer
1) The set C N represents The set of authors who are both successful and new.
2) The set C N represents The set of authors who are either successful or new (or both).
3) From the table
Yes the relation n(C N) = n(C) + n(N) n(C N) holds
n(C) = 29 n(N) = 19 n(C N) = 6 n(C N) = 48Related Questions
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