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  3. suppose u is uniform on (0,1). let y = u(1 −

Suppose U is uniform on (0,1). Let Y = U(1 − U). (a) Find P(Y >...

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Statistics

Suppose U is uniform on (0,1). Let Y = U(1 − U). (a) Find P(Y> y) for 0 < y < 1/4. (b) differentiate to get the densityfunction of Y . (c) Find an increasing function g(u) so that g(U )has the same distribution as U (1 − U ).

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