a) Draw the corresponding Venn Diagram. b) Find the following: 1)n(A) 5) n[(AB) C] 6) n[(A' B') C] 7) n[(A' B') C] 8) n{[(AB) C]'} c) Explain the meaning of each subset involved in b. d) Is it appropriate to conclude that the brand with the largest number of respondents is the most popular brand? Explain why it is or it is not appropriate. 2)n[(AB) C] 3)n[(AB) C] 4)n(AB)
a) Draw the corresponding Venn Diagram. b) Find the following: 1)n(A) 5) n[(AB) C] 6) n[(A' B') C] 7) n[(A' B') C] 8) n{[(AB) C]'} c) Explain the meaning of each subset involved in b. d) Is it appropriate to conclude that the brand with the largest number of respondents is the most popular brand? Explain why it is or it is not appropriate. 2)n[(AB) C] 3)n[(AB) C] 4)n(AB)
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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Transcribed Image Text:Example 6: In a consumer survey, respondents were
asked the following questions: Which brands of coffee
did you serve your family during the last four weeks:
brand A, B or C? The response of the 100 interviewed
persons is shown below:
Brand A
Brand B
Brand C
Respondents
Yes
Yes
Yes
Yes
Yes
2
No
7
Yes
No
Yes
8
Yes
No
No
10
No
Yes
Yes
0
No
Yes
No
14
No
No
Yes
25
No
No
No
30
![■ Example 6 (con't)
a) Draw the corresponding Venn Diagram.
b) Find the following:
1)n(A)
2)n[(AB) C]
3)n[(AUB) C]
4)n(AB)
5) n[(AB) C]
6) n[(A' B') C]
7) n[(A' B') C]
8) n{[(AB) C]'}
c) Explain the meaning of each subset involved in b.
d) Is it appropriate to conclude that the brand with
the largest number of respondents is the most
popular brand? Explain why it is or it is not
appropriate.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1beaffe7-9d7a-42b9-9107-dccba3680f89%2Fbc328329-3ecd-4fbb-95fa-ec58ac356465%2Fptmhmkf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:■ Example 6 (con't)
a) Draw the corresponding Venn Diagram.
b) Find the following:
1)n(A)
2)n[(AB) C]
3)n[(AUB) C]
4)n(AB)
5) n[(AB) C]
6) n[(A' B') C]
7) n[(A' B') C]
8) n{[(AB) C]'}
c) Explain the meaning of each subset involved in b.
d) Is it appropriate to conclude that the brand with
the largest number of respondents is the most
popular brand? Explain why it is or it is not
appropriate.
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