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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State whether each the following functions F(x) is a valid cumulative
distribution function. Justify your answers:
(a)
For A> 0
J1- [1– {]¬ for æ 2 0
F(x)
{:
for x 20
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)
Transcribed Image Text:State whether each the following functions F(x) is a valid cumulative distribution function. Justify your answers: (a) For A> 0 J1- [1– {]¬ for æ 2 0 F(x) {: for x 20 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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