Official PYQ · 2004Set 1 · Q79Probability and StatisticsMCQ1 mark

GATE EC 2004 Set 1 Q79 — Probability and Statistics

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

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Published 10 Oct 2026

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