Question

Let X(1) < X(2) < ⋯ < X(9) be the order statistics corresponding to a random sample of size 9 from U(0, 1) distribution. Then which one of the following statements is NOT true ?

• A. $E(\frac{X_{(9)}}{1-X_{(9)}})$ is finite
• B. E(X(5)) = 0.5
• C. The median of X(5) is 0.5
• D. The mode of X(5) is 0.5

Answer 1

Answer: (A)

$E(\frac{X_{(9)}}{1-X_{(9)}})$ is finite

Answer 2

The correct option is (A) : $E(\frac{X_{(9)}}{1-X_{(9)}})$ is finite.