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Consider a real signal $x(t),-\infty < t < \infty$, such that

$x(t) = 0\quad\text{for}\quad t <0, x(t) =2 \quad\text{for} \quad0 \leq t < 1\quad \text{and}\quad x(t) = 0\quad \text{for} \quad t \geq 1$.

Let $E[x(t)]=\int_{-\infty}^{\infty}[x(t)]^{2} d t$.

Which of the following options correctly represents the ratio, $E[x(t)] / E[3 x(-3 t+5)] ?$

  1. $3$
  2. $1$
  3. $1/3$
  4. $1/9$

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