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. $$\begin{array} { | r | r | r | r | r | }
\hline & \text { A } & \text { B } & \text { C } & \text { Total } \
\hline \text { Under 25 years } & 22 & 34 & 40 & 96 \
\hline \text { 25 or older } & 54 & 28 & 22 & 104 \
\hline \text { Total } & 76 & 62 & 62 & 200 \
\hline
\end{array}$$ If one of these consumers is randomly selected and prefers design B, what is the probability that the person is 25 or older?
A)0.28
B)0.14
C)0.45
D)0.27
E)0.78

Question

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. $$\begin{array} { | r | r | r | r | r | } 
\hline & \text { A } & \text { B } & \text { C } & \text { Total } \
\hline \text { Under 25 years } & 22 & 34 & 40 & 96 \
\hline \text { 25 or older } & 54 & 28 & 22 & 104 \
\hline \text { Total } & 76 & 62 & 62 & 200 \
\hline
\end{array}$$ If one of these consumers is randomly selected and prefers design B, what is the probability that the person is 25 or older?
A)0.28
B)0.14
C)0.45
D)0.27
E)0.78

Quizplus · Accepted Answer

The probability that a person is 25 or older given they prefer design B is calculated by dividing the number of people 25 or older who prefer design B (28) by the total number of people who prefer design B (62). Thus, the probability is 28/62 = 0.45.

A Market Research Firm Is Investigating the Appeal of Three