Question: Suppose X (1) (2) (3) are the order statistics based on a random sample of size 3 from the standard exponential density f(x) = e

Suppose X(1) (2) (3) are the order statistics based on a random sample of size 3 from the standard exponential density f(x) = e-x,x > 0.

i) Find E(X(2)).

ii) Find the density of the midrange B = 1/2 (X(1) + X(3) ). Using this result (or otherwise), find P(B > 2).

Suppose X(1) (2) (3) are the order statistics based on a random

Suppose X (1)

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