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

question 214

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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.  Region  NE  SE  SW  NW <10,0005%6%3%0% Population of City 10,000100,00015%10%12%5%>100,00020%4%9%11%\begin{array}{r}\text { Region }\\\begin{array} { r r c c c c } \hline & & \text { NE } & \text { SE } & \text { SW } & \text { NW } \\\hline & < 10,000 & 5 \% & 6 \% & 3 \% & 0 \% \\\text { Population of City } & 10,000 - 100,000 & 15 \% & 10 \% & 12 \% & 5 \% \\& > 100,000 & 20 \% & 4 \% & 9 \% & 11 \% \\\hline\end{array}\end{array} What is the probability that the restaurant is located in the northern portion of the United States?


Definitions:

Heritability

The proportion of variation in traits within a population that can be attributed to genetic differences among individuals.

Genetic Differences

Variations in the DNA sequences among individuals, which contribute to the diversity of organisms' characteristics.

Total Variance

In statistics, the sum of explained and unexplained variance, representing the total amount of variability in a dataset.

Heritability Estimates

Statistical measures that indicate what proportion of variation in a trait within a population can be attributed to genetic differences among individuals in that population.

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