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A Market Research Firm Is Investigating the Appeal of Three

Question 45

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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 labeled A, B, and C.The consumers are classified according to age and package design preference.  A  B  C  Total  Under 25 years 2234409625 or older 542822104 Total 766262200\begin{array} { | c | c | c | c | c | } \hline & \text { A } & \text { B } & \text { C } & \text { Total } \\\hline \text { Under 25 years } & 22 & 34 & 40 & 96 \\\hline 25 \text { or older } & 54 & 28 & 22 & 104 \\\hline \text { Total } & 76 & 62 & 62 & 200 \\\hline\end{array} If one of these consumers is randomly selected and is under 25, what is the probability that the person prefers design A?


A) 0.22
B) 0.23
C) 0.29
D) 0.18
E) 0.78

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