A Fast-Food Restaurant Chain with 700 Outlets in the United

question 24

Essay

A fast-food restaurant chain with 700 outlets in the United States has recorded the geographic location of its restaurants in the accompanying table of percentages. One restaurant is to be chosen at random from the 700 to test market a new chicken sandwich. $\begin{array}{rrrrrr} & &{\text { Region }} \\\hline & & & \text { SE } & \text { SW } & \text { NW } \\\hline&<10,000& 3 \%&6\%&3\%&0\% \\ \text { Population of City } & 10,000-100,000 & 15 \% &10\% & 12 \% & 5 \% \\& >100,000 &20\%&4\% & 1 \% & 21 \% \\\hline\end{array}$
What is the probability that the restaurant is located in a city with a population over 100,000, given that it is located in the southwestern United States?

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