In a study of factors that influence brand switching by a certain demographic, the following factors were identified as being significant as judged by the responses of the 439 participants in the survey. 1: Better price 2: Friend's recommendation 3: Seeing others use it 4: Interesting packaging 5: Buzz-people talking about the brand 6: An advertisement 7: Press stories 8: Entertainer/sports celebrity endorsement The results of the survey follow. Factor 1 4 5 6 7 8 Respondents (%) 68.8 60.2 22.8 20.8 16.6 16.6 14.9 6.9 Let A denote the set of factors that had a response greater than 20%, let B denote the set of factors that had a response between 15% and 25%, and let C denote the set of factors that had a response less than 25%. Find the following. (a) n(A), n(B), n(C) n(A) = | n(B) = n(C) = | (b) n(A N B) (c) n(ACn C) (d) n(A N Bº) (e) n(A°N C) (f) n[(A U B) N C]

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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In a study of factors that influence brand switching by a certain demographic, the following factors were identified as being significant as judged by the responses of the 439 participants in the survey.
1: Better price
2: Friend's recommendation
3: Seeing others use it
4: Interesting packaging
5: Buzz-people talking about the brand
6: An advertisement
7: Press sto ries
8: Entertainer/sports celebrity endorsement
The results of the survey follow.
Factor
1
3
4
5
6
8
Respondents (%)
68.8
60.2
22.8
20.8
16.6
16.6
14.9
6.9
Let A denote the set of factors that had a response greater than 20%, let B denote the set of factors that had a response between 15% and 25%, and let C denote the set of factors that had a response less than 25%. Find the
following.
(a) n(A), n(B), n(C)
n(A) =
n(B) =
n(C) =
(b) n(A N B)
(c) n(ACN C)
(d) n(A N BC)
(e) n(ACn C9)
(f) n[(A U B) N c]
Transcribed Image Text:In a study of factors that influence brand switching by a certain demographic, the following factors were identified as being significant as judged by the responses of the 439 participants in the survey. 1: Better price 2: Friend's recommendation 3: Seeing others use it 4: Interesting packaging 5: Buzz-people talking about the brand 6: An advertisement 7: Press sto ries 8: Entertainer/sports celebrity endorsement The results of the survey follow. Factor 1 3 4 5 6 8 Respondents (%) 68.8 60.2 22.8 20.8 16.6 16.6 14.9 6.9 Let A denote the set of factors that had a response greater than 20%, let B denote the set of factors that had a response between 15% and 25%, and let C denote the set of factors that had a response less than 25%. Find the following. (a) n(A), n(B), n(C) n(A) = n(B) = n(C) = (b) n(A N B) (c) n(ACN C) (d) n(A N BC) (e) n(ACn C9) (f) n[(A U B) N c]
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