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NIELIT Scientist B 2020 November: 112

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Let $X_1,\dots X_{50}$ be independent random variables following $N(0,1)$ distribution.

Let $\Sigma _{i=1}^{50} X^2_i,$ and $E(Y)=a$ and $Var(Y)=b.$ Then, the ordered pair $(a,b)$ is:

  1. $(50,100)$
  2. $(50,50)$
  3. $(25,50)$
  4. $(25,100)$
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