Find the Standard Deviation of the Random Variable A) $1.006$ B) $2.012$

question 41

Multiple Choice

Find the standard deviation of the random variable.
-The random variable X is the number of siblings of a student selected at random from a particular secondary school. Its probability distribution is given in the table. Round the answer to three Decimal places when necessary. $\begin{array}{r|cccccc}\mathrm{x} & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm{P}(\mathrm{X}=\mathrm{x}) & \frac{1}{3} & \frac{13}{48} & \frac{1}{6} & \frac{7}{48} & \frac{1}{24} & \frac{1}{24}\end{array}$

• A)\(1.006\)
• B) \(2.012\)
• C) \(1.397\)
• D) \(1.676\)

---

Definitions:

Episodic Representation

The cognitive process of storing and retrieving personal experiences as discrete, temporally dated sequences of events.

Information Processing

The methods by which individuals perceive, analyze, manipulate, and store information.

Cognitive Development

The process by which individuals perceive, think, and gain an understanding of their world through the interaction of genetic and learned factors.

Mechanics of Thinking

The underlying processes and structures involved in the act of thinking, including perception, cognition, and memory.