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A Market Research Firm Is Investigating the Appeal of Three  not? \textbf{ not? }

question 41

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A market research firm is investigating the appeal of three package designs. The table below gives information obtained through a sample of 200 consumers. The three package designs are labelled A, B, and C. The consumers are classified according to age and package design preference.  A market research firm is investigating the appeal of three package designs. The table below gives information obtained through a sample of 200 consumers. The three package designs are labelled A, B, and C. The consumers are classified according to age and package design preference.    Are  B  and  25 or older  independent and why or why  \textbf{        not? }   A)  No, because P(25 or over | B)   \neq  P(B) . B)  Yes, because P(B)  = P(C) . C)  No, because P(25 or older | B)   \neq (25 or older) . D)  Yes, because P(25 or older and B)   \neq  0. E)  No, because age and package design are different things.
Are "B" and "25 or older" independent and why or why  not? \textbf{ not? }

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