In a study of factors that influence brand switching by a certain demographic, the following factors...

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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 Respondents (%) 1 68.8 2 3 60.4 22.8 4 20.8 5 16.6 6 16.6 7 14.9 8 6.7 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. (a) n(A) n(A), n(B), n(C) = n(B) n(C) = (b) n(An B) (c) n(AC n C) (d) n(An BC) (e) n(An CC) (f) n[(A U B) n 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 Respondents (%) 1 68.8 2 3 60.4 22.8 4 20.8 5 16.6 6 16.6 7 14.9 8 6.7 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. (a) n(A) n(A), n(B), n(C) = n(B) n(C) = (b) n(An B) (c) n(AC n C) (d) n(An BC) (e) n(An CC) (f) n[(A U B) n C]