For a distribution function F(x), define F(y) = inf{t: F(t) ≥ y} F (y)inf{t: F(t) > y}. We know F (y) is left-continuous. Show F, (y) is right continuous and show λ{ue (0, 1]: F (u) #F, (u)} = 0, where, as usual, λ is Lebesgue measure. Does it matter which inverse we use?

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A: Topic = Limits and  Continuity

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