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Let X1, X2, X3 and X4 he independent and identically distributed Bernoulli  random variables. Let X(1), X(2), X(3) and X(4) denote the corresponding order statistics. Which of the following is true?

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  1. X(1) and X(4) are independent.
  2. Expectation of X2 is .
  3. Variance of X2 is .
  4. X(4) is a degenerate random variable.

Answer (Detailed Solution Below)

Option 3 : Variance of X2 is .
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The Correct Answer is option 3 

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