Your Company, Sonic Video, Inc A)6
B) 4
C) 5
D) 7
E) 3

Your company, Sonic Video, Inc., has conducted research that shows the following probability distribution, where X is the number of video arcades in a randomly chosen city with more than 500,000 inhabitants. As CEO of Startrooper Video Unlimited, you wish to install a chain of video arcades in Sleepy City, U.S.A. The city council regulations require that the number of arcades be within the range shared by at least 75 percent of all cities. Find the largest number of video arcades you should install so as to comply with this regulation. $$\begin{array} { | c | c | c | c | c | c | c | c | c | c | c | } \hline x & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\\hline P ( X = x ) & 0.05 & 0.1 & 0.31 & 0.21 & 0.11 & 0.16 & 0.02 & 0.02 & 0.01 & 0.01 \\\hline\end{array}$$

A) 6
B) 4
C) 5
D) 7
E) 3