Mathematics · Probability and Statistics
Let X1, X2, X3, and X4 be independent and identically distributed Bernoulli(13) random variables. Let X(1), X(2), X(3), and X(4) denote the corresponding order statistics. Which of the following statements is true?
- 1X(4) is a degenerate random variable.
- 2The variance of X2 is 29.✓
- 3The expectation of X2 is 12.
- 4X(1) and X(4) are independent.
Correct answer
The variance of X2 is 29.
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