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Let F, G be distribution functions on R. G(x) is continuous and F(x) is not. Which of the following are distribution functions? Justify your statement

Let F, G be distribution functions on R. G(x) is continuous and F(x) is not.
Which of the following are distribution functions? Justify your statement

1. (F(x))'/", n E N. 2. G(x)/(G(x) +1). 3. F(x) + G(x). 4. 1- G(-x). 5. 1 - F(-x). 6. 2G(x)/(G(x) + 1).

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