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

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) $1.676$