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

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 density function 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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orchestra answered 11 months ago

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