State whether each the following functions F(x) is a valid cumulative distribution function. Justify your answers: (a) For A> 0 1- [1- ] for x > 0 F(x) = otherwise. (b) For a valid cumulative distribution function G(x), and constant k: G(x)-G(k) 1-G(k) for x > k F(x) = otherwise. (Assume that 0 < G(x) < 1 for all x E R)

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