A random variable $\mathrm{X}$ with uniform density in the interval $0$ to $1$ is quantized as follows:
$\begin{array}{ll} \qquad \text{If 0 < X < 0.3,} & \text{x}_{4} = 0 \\ \qquad \text{If 0.3 < X < 1,} & \text{x}_{4} = 0.7 \end{array}$
where $\text{x}_{4}$ is the quantized value of $\text{X}$.
The root-mean square value of the quantization noise is
- $0.573$
- $0.198$
- $2.205$
- $0.266$