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For a random variable $x$ following the probability density function, $\mathrm{p}(x)$, shown in given figure the mean and the variance are, respectively,

  1. $1 / 2$ and $2 / 3$
  2. $1$ and $4 / 3$
  3. $1$ and $2 / 3$
  4. $2$ and $4 / 3$
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