A Discrete Random Variable X Can Assume Five Possible Values

question 19

Short Answer

A discrete random variable x can assume five possible values: 2, 3, 5, 8, 10. Its probability distribution is shown below. Find the standard deviation of the distribution. $$\begin{array} { c | c c c c c } \mathrm { x } & 2 & 3 & 5 & 8 & 10 \\\hline \mathrm { p } ( \mathrm { x } ) & 0.10 & 0.20 & 0.30 & 0.30 & 0.10\end{array}$$

---

Definitions:

First-Born Children

Referring to the first child born into a family, often subject to research on birth order effects on personality and development.

Sociable

Inclined to seek and enjoy the company of others; outgoing and friendly.

Peers

Children of the same age. More generally, people of similar background and social standing.

Middle Childhood

A developmental stage spanning from approximately 6 to 12 years of age, marked by significant cognitive, emotional, and social growth.