A Market Research Firm Is Investigating the Appeal of Three

Multiple Choice

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. $$\begin{array} { | c | c | c | c | c | } \hline & \text { A } & \text { B } & \text { C } & \text { Total } \\\hline \text { Under 25 years } & 22 & 34 & 40 & 96 \\\hline 25 \text { or older } & 54 & 28 & 22 & 104 \\\hline \text { Total } & 76 & 62 & 62 & 200 \\\hline\end{array}$$ Are "B" and "25 or older" independent and why or why 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) $\neq$ P (25 or older)
D) Yes, because P (25 or older $\cap$ B) $\neq$ 0
E) No, because age and package design are different things