The following table shows the results of a survey of authors by a fictitious publishing company. Established Authors New Authors 6 26 13 55 Total 19 81 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. HINT [See Example 3.] Successful Unsuccessful Describe the set C n N in words. O The set of authors who are either unsuccessful or new (or both). The set of authors who are both unsuccessful and new. O The set of authors who are successful but not new. O The set of authors who are both successful and new. O The set of authors who are either successful or new (or both). Use the table f n(C)= n(N) = n(Cn N) = n(CUN) = Total 32 68 100 Describe the set CUN in words. O The set of authors who are either unsuccessful or new (or both). The set of authors who are either successful or new (or both). O The set of authors who are both unsuccessful and new. O The set of authors who are both successful and new. O The set of authors who are unsuccessful but not new. compute n(C), n(N), n(C n N), and n(CUN). Does n(CUN) = n(C) + n(N) - n(Cn N)? O Yes O No
The following table shows the results of a survey of authors by a fictitious publishing company. Established Authors New Authors 6 26 13 55 Total 19 81 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. HINT [See Example 3.] Successful Unsuccessful Describe the set C n N in words. O The set of authors who are either unsuccessful or new (or both). The set of authors who are both unsuccessful and new. O The set of authors who are successful but not new. O The set of authors who are both successful and new. O The set of authors who are either successful or new (or both). Use the table f n(C)= n(N) = n(Cn N) = n(CUN) = Total 32 68 100 Describe the set CUN in words. O The set of authors who are either unsuccessful or new (or both). The set of authors who are either successful or new (or both). O The set of authors who are both unsuccessful and new. O The set of authors who are both successful and new. O The set of authors who are unsuccessful but not new. compute n(C), n(N), n(C n N), and n(CUN). Does n(CUN) = n(C) + n(N) - n(Cn N)? O Yes O No
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The following table shows the results of a survey of authors by a fictitious publishing company.
| New Authors | Established Authors |
Total | |
| Successful | 6 | 26 | 32 |
| Unsuccessful | 13 | 55 | 68 |
| Total | 19 | 81 | 100 |
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. HINT [See Example 3.]
ATTACHED IS THE QUESTION, PLEASE ANSWER AND SELECT EACH OPTION ACCURATELY ALSO SHOW WORK FOR ALL.
Transcribed Image Text:The following table shows the results of a survey of authors by a fictitious publishing company.
| | New Authors | Established Authors | Total |
|--------------------|-------------|---------------------|-------|
| Successful | 6 | 26 | 32 |
| Unsuccessful | 13 | 55 | 68 |
| Total | 19 | 81 | 100 |
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 \( C \cap N \) in words.
- ( ) The set of authors who are either unsuccessful or new (or both).
- ( ) The set of authors who are both unsuccessful and new.
- ( ) 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 either successful or new (or both).
Describe the set \( C \cup N \) in words.
- ( ) The set of authors who are either unsuccessful or new (or both).
- (●) The set of authors who are either successful or new (or both).
- ( ) The set of authors who are both unsuccessful and new.
- ( ) The set of authors who are both successful and new.
- ( ) The set of authors who are unsuccessful but not new.
Use the table to compute \( n(C) \), \( n(N) \), \( n(C \cap N) \), and \( n(C \cup N) \).
\( n(C) = \)
\( n(N) = \)
\( n(C \cap N) = \)
\( n(C \cup N) = \)
Does \( n(C \cup N) = n(C) + n(N) - n(C \cap N) \)?
- ( ) Yes
- ( ) No
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