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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 stories 8: Entertainer/sports celebrity endorsement The results of the survey follow. Factor 1 2 3 4 68.8 60.2 22.6 20.8 5 6 7 8 16.8 16.8 14.7 6.9 Respondents (%) 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(An B) (c) n(A²n C)

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 2 3 4 68.8 60.2 22.6 20.8 5 6 7 8 16.8 16.8 14.7 6.9 Respondents (%) 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(An B) (c) n(A²n C)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 stories 8: Entertainer/sports celebrity endorsement The results of the survey follow. 1 2 3 4 5 6 7 8 6.9 Respondents (%) 68.8 60.2 22.6 20.8 16.8 16.8 14.7 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. Factor (a) n(A), n(B), n(C) n(A) = n(B) = n(C) = (b) n(An B) (c) n(AC n C) (d) n(An B) (e) n(An C) (f) n[(AUB) 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 stories 8: Entertainer/sports celebrity endorsement The results of the survey follow. 1 2 3 4 5 6 7 8 6.9 Respondents (%) 68.8 60.2 22.6 20.8 16.8 16.8 14.7 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. Factor (a) n(A), n(B), n(C) n(A) = n(B) = n(C) = (b) n(An B) (c) n(AC n C) (d) n(An B) (e) n(An C) (f) n[(AUB) n C]
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