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Given $n$ independent Bernoulli random variables, taking value $1$ with probability $p$ and $0$ with probability $1-p$. Then, which of the following is the value of $E\left[\left(z_{1}+\right.\right.$ $\left.\left.\ldots z_{n}\right)^{2}\right] ?$

  1. $0$
  2. $n p+n(n-1) p^{2}$
  3. $n^{3} p^{2}$
  4. $n^{2} p^{2}+n p$
  5. None of the above

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