Are customers more loyal in the East or in the West? The following table is based on information from Trends in the United Sates, published by the food marketing Institute, Washington, D.C. The columns represent loyalty (in years) at a primary supermarket. The rows represent regions of the United States. What is the probability that a customer chosen at random is from the West given that he or she has been loyal 1 to 2 years? Round your answer to the nearest thousandth.
$$\begin{array} { l c r r r r r r }
&\text { Less Than } & 1-2 & 3-4 & 5-9 & 10-14 & 15 \text { or More } & \text { Row Total } \
&1 \text { Year } & \text { Years } & \text { Years } & \text { Years } & \text { Years } & \text { Years }\
\text { East } & 32 & 54 & 59 & 112 & 77 & 118 & 452 \
\text { Midwest } & 31 & 68 & 68 & 120 & 63 & 173 & 523 \
\text { South } & 53 & 92 & 93 & 158 & 106 & 158 & 660 \
\text { West } & 41 & 56 & 67 & 78 & 45 & 86 & 373 \
\text { Column Total } & 157 & 270 & 287 & 468 & 291 & 535 & 2008
\end{array}$$
A)0.028
B)0.207
C)0.417
D)0.150
E)none of these choices

Question

Are customers more loyal in the East or in the West? The following table is based on information from Trends in the United Sates, published by the food marketing Institute, Washington, D.C. The columns represent loyalty (in years) at a primary supermarket. The rows represent regions of the United States. What is the probability that a customer chosen at random is from the West given that he or she has been loyal 1 to 2 years? Round your answer to the nearest thousandth.
$$\begin{array} { l c r r r r r r } 
&\text { Less Than } & 1-2 & 3-4 & 5-9 & 10-14 & 15 \text { or More } & \text { Row Total } \
&1 \text { Year } & \text { Years } & \text { Years } & \text { Years } & \text { Years } & \text { Years }\
\text { East } & 32 & 54 & 59 & 112 & 77 & 118 & 452 \
\text { Midwest } & 31 & 68 & 68 & 120 & 63 & 173 & 523 \
\text { South } & 53 & 92 & 93 & 158 & 106 & 158 & 660 \
\text { West } & 41 & 56 & 67 & 78 & 45 & 86 & 373 \
\text { Column Total } & 157 & 270 & 287 & 468 & 291 & 535 & 2008
\end{array}$$
A)0.028
B)0.207
C)0.417
D)0.150
E)none of these choices

Quizplus · Accepted Answer

The probability that a customer is from the West given they have been loyal for 1 to 2 years is calculated by dividing the number of customers from the West who have been loyal for 1 to 2 years (56) by the total number of customers who have been loyal for 1 to 2 years (270). Thus, the probability is 56/270 = 0.207.

Are Customers More Loyal in the East or in the West