Exercise 1: Let Y₁ ≤ Y₂ ≤ Y₁ ≤ Y₁ denote the order statistics of a random sample of size 4 from a distribution having probability density function f(x) = ax¹, 0≤x≤1. Compute (1) the value of a (2) The probability density function of Y₁ (3) P(Y> X₁) (4) P(Y₁ +Y₂ + Y3 + Y₁ > X₁ + X₂ + X₁ + X₁)

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