Let F be a CDF which is continuous and strictly increasing. Let be the mean of the

Chapter 5, Problem 19

(choose chapter or problem)

Let F be a CDF which is continuous and strictly increasing. Let be the mean of the distribution. The quantile function, F 1, has many applications in statistics and econometrics. Show that the area under the curve of the quantile function from 0 to 1 is . Hint: Use LOTUS and universality of the Uniform.

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