## Related questions with answers

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.

$\begin{matrix} \text{x} & \text{0} & \text{1} & \text{2} & \text{3} & \text{4} & \text{5} & \text{6} & \text{7} & \text{8} & \text{9}\\ \text{P(X=x)} & \text{.07} & \text{.09} & \text{.35} & \text{.25} & \text{.15} & \text{.03} & \text{.02} & \text{.02} & \text{.01} & \text{.01}\\ \end{matrix}$

a. Compute $\mu=E(X)$ and interpret the result. b. Which is larger, $P(X<\mu)$ or $P(X>\mu)$? Interpret the result.

Solution

VerifiedGiven a relative frequency table for a random variable, we need to

a. compute the population mean, $\mu=E(X)$, and

b. compare $P(X<\mu)$and $P(X>\mu)$. Also, interpret the comparison

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