Question: 30. (i) For any continuous cumulative distribution function F, define F-(0) = -oo, F(y) inf(x: F(x)=y) for 0 < y < 1, F(1) = co

30. (i) For any continuous cumulative distribution function F, define F-(0) = -oo, F(y) inf(x: F(x)=y) for 0 < y < 1, F(1) = co if F(x) <1 for all finite x, and otherwise inf(x: F(x) - 1). Then F[F(y)] y for all 0 y 1, but F[F(y)] may be

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