Let Y1 < Y2 < Y3 < Y4 be the order statistics of a random sample...

Let Y₁ < Y₂ < Y₃ < Y₄ be the order statistics of a random sample of size n = 4 from a distribution with pdf f(x) = 3X², 0 < x < 1, zero elsewhere.

(a) Find the joint pdf of Y₃ and Y₄.

(b) Find the conditional pdf of Y₃, given Y₄ = y₄.

(c) Evaluate E(Y₃|y₄)

Expert Solution

orchestra answered 2 years ago

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