Chapter 8.3, Problem 34E

Video Arcades 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:

$x$	0	1	2	3	4	5	6	7	8	9
$P\left(X=x\right)$	.07	.09	.35	.25	.15	.03	.02	.02	.01	.01

a. Compute $\mu =E\left(X\right)$, and interpret the result. [hinT: See Example 3.]

b. Which is larger: $P\left(X<\mu \right)\text{ or }P\left(X>\mu \right)$? Interpret the result.