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Let X 1 and X 2 be a random sample of size n = 2 from a continuous distribution with pdf of the form f(x)

Let X₁ and X₂ be a random sample of size n = 2 from a continuous distribution with pdf of the form f(x) = 2x if 0 < x < 1 and zero otherwise.

(a) Find the marginal pdfs of the smallest and largest order statistics, Y₁ and Y₂.

(b) Find the joint pdf of Y₁ and Y₂.

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