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) \(1.676\)

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Definitions:

Heritability Ratios

A statistical estimate that indicates what portion of individual differences in a trait in a population can be attributed to genetic differences.

Social/Economic Status

A measure combining both economic situation, such as income or wealth, and social position, like education and occupation, to classify individuals or groups.

High

A state of elevated mood and energy, often the result of certain stimuli (e.g., drugs, excitement), leading to increased activity and sometimes euphoria.

Low

Describes something that is situated at a small distance above the ground, less in amount, or of a lower rank or scale.