Question: 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.

(c) Find the pdf of the sample range R = Y2 Y1.

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