Compute the Variance and Standard Deviation of a Discrete Random $x$

question 104

Multiple Choice

Compute the Variance and Standard Deviation of a Discrete Random Variable
-In a sandwich shop, the following probability distribution was obtained. The random variable $x$ represents the number of condiments used for a hamburger. Find the mean and standard deviation for the random variable x.
$\begin{array}{c|c}x & P(x) \\\hline 0 & 0.30 \\1 & 0.40 \\2 & 0.20 \\3 & 0.06 \\4 & 0.04\end{array}$

• A) mean: \(1.14\); standard deviation: \(1.04\)
• B) mean: \(1.54\); standard deviation: \(1.30\)
• C) mean: \(1.30\); standard deviation: \(2.38\)
• D) mean: \(1.30\); standard deviation: \(1.54\)

---

Definitions:

Economic Development

The process by which the overall health, well-being, and academic level of a population in a specific area is improved through targeted policies and projects.

Birth Rate

The number of live births per thousand people in a population over a specific period of time.

City Centers

Central areas of cities that often contain a concentration of cultural, commercial, and civic activities.

Total Fertility Rate

The average number of children that would be born to a woman over her lifetime under current age-specific fertility rates.