Question: 1. Let F be a continuous distribution function, i.e. F : R -+ [0, 1] is non-decreasing. Show that (a) J[F(x +c) - F(x)]dx(r) =

1. Let F be a continuous distribution function, i.e. F : R -+ [0, 1] is non-decreasing. Show that (a) J[F(x +c) - F(x)]dx(r) = c for any c E R. (b) [ F(x)dF(x) = 1/2

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