[amp_mcq option1=”$$\frac{1}{{\sqrt {12} }}$$” option2=”$$\frac{1}{{\sqrt 3 }}$$” option3=”$$\frac{5}{{\sqrt {12} }}$$” option4=”$$\frac{7}{{\sqrt {12} }}$$” correct=”option1″]
The correct answer is $\boxed{\frac{1}{{\sqrt 3 }}}$.
The standard deviation of a random variable is a measure of how spread out its values are. A low standard deviation indicates that the values are clustered close to the mean, while a high standard deviation indicates that the values are spread out over a large range.
The standard deviation of a uniformly distributed random variable between 0 and 1 is $\frac{1}{{\sqrt 3 }}$. This can be calculated using the following formula:
$$\sigma = \sqrt{\frac{1}{2} – \frac{1}{3}} = \frac{1}{{\sqrt 3 }}$$
The other options are incorrect because they do not represent the standard deviation of a uniformly distributed random variable between 0 and 1.