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Let U1, U2, . . . , Un be independent U(0, 1) random variables. (a) Find...

Let U1, U2, . . . , Un be independent U(0, 1) random variables.

(a) Find the marginal CDFs and then the marginal PDFs of X = min(U1, U2, . . . , Un) and Y = max(U1, U2, . . . , Un).

(b) Find the joint PDF of X and Y .

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