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Official PYQ · 2024

GATE EC 2024 Set 1 Q10 — Random Processes

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​​​​A white Gaussian noise w(t)w(t) with zero mean and power spectral density N02\frac{N_{0}}{2}, when applied to a first-order RC low pass filter produces an output n(t)n(t). At a particular time t=tkt=t_{k}, the variance of the random variable n(tk)n\left(t_{k}\right) is _______\_\_\_\_\_\_\_.

 

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Answer: A

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