Page 263, 4.4.8.* Let Y₁ < Y₂ < Y3 < Y4 < Y5 denote the order statistics of a random sample of size 5 from a distribution having pdf f(x) = 2e-²x, 0 < x <∞, zero elsewhere. Show that Z₁ = Y4 and Z₂ = Y5 - Y4 are independent.

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