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A zero mean white Gaussian noise having power spectral density $\dfrac{N_{0}}{2}$ is passed through an LTI filter whose impulse response $h(t)$ is shown in the figure. The variance of the filtered noise at $t = 4$ is

  1. $\dfrac{3}{2}A^{2}N_{0} \\$
  2. $\dfrac{3}{4}A^{2}N_{0} \\$
  3. $A^{2}N_{0} \\$
  4. $\dfrac{1}{2}A^{2}N_{0}$
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