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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 1

1.Find the marginal pdfs of the smallest and largest order statistics, Y₁ and Y₂

2.Find the joint pdf of Y₁ and Y₂

3.Find the pdf of the sample range R = Y₂ - Y₁

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