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Test by Bikram | Mathematics | Test 2 | Question: 21

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Which of the following properties of variance is true?

  1. $V(px)=p^2(V(x); $ if $x$ is random variable and $p$ is constant.
  2. $V(x-4)=V(x)-V(4);$  if $x$ and $y$ are independent random variables.
  3. $V(px+z)=p^2(V(x)+z;$ if $x$ is a random variable, $p$ and $z$ are constants.

           [$V$ is the symbol that represents Variance.]

  1. Only (i)
  2. All are true
  3. (i) & (iii) are true
  4. (ii) and (iii) only

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