Are Customers More Loyal in the East or in the West

question 19

Multiple Choice

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 has been loyal from 3 to 4 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)0.206
• B)0.167
• C)0.286
• D)0.143
• E)none of these choices

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Definitions:

Cards

Paper or plastic rectangular pieces, often used for playing a variety of games, or as a medium for storing information such as identification or banking details.

Fair Die

A fair die is a dice designed to have equal likelihoods of landing on any of its faces when thrown.

Events

Occurrences or happenings, especially significant ones within a specified area or context.

Independent

Free from outside control; not depending on another's authority or subject to another's influence.