A fast-food restaurant chain has 617 outlets in the United States. The following table categorizes them by city population and location and presents the number of outlets in each category. An outlet is chosen at random from the 617 to test market a new menu.
$\begin{array}{ccccc}
\hline & {\text { Region }} \
\hline \text { Population } & & & & \
\text { of city } & \text { NE } & \text { SE } & \text { SW } & \text { NW } \
\text { Under } 50,000 & 27 & 25 & 32 & 22 \
50,000-500,000 & 58 & 45 & 54 & 44 \
\text { Over } 500,000 & 72 & 127 & 70 & 41 \
\hline
\end{array}$
Given that the outlet is located in the West (either SW or NW), what is the probability the is in a city with population $50,000 - 500,000$ ?
A) 0.278
B) 0.764
C) 0.373
D) 0.159

Question

Quizplus · Accepted Answer

First, calculate the total number of outlets in the West (SW + NW). SW = 32 + 54 + 70 = 156, NW = 22 + 44 + 41 = 107, so the total in the West = 156 + 107 = 263. The number of outlets in cities with a population of 50,000 - 500,000 in the West = 54 (SW) + 44 (NW) = 98. The probability = 98 / 263 ≈ 0.373.

A Fast-Food Restaurant Chain Has 617 Outlets in the United