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I got this tutorial question and I had no clue about how to prove this:

Let $\,F(x)\,$ be a distribution function and $\,r\,$ a positive integer.

Show that $\,F(x)^r\,$ is also a distribution function

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    hope you were referring to continuous from the right2012-09-23

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Community answer:

Hint: Which properties qualify a function $G:\mathbb R\to\mathbb R$ to be a distribution function? – did

It's non-decreasing. $F(-\infty) = 0$ and $F(\infty) = 1$. These still hold when exponentiated if $r$ is positive. – user929404

These are not sufficient to guarantee that F is a distribution function. There is still one more property... – did

continuous from the right - user929404