13. A function f(x) has the following form: S(x) = kx-*+1) 1

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13. A function f(x) has the following form:
S(x) = kx-*+ 1)
1<x < 0
and zero otherwise.
(a) For what values of k is f(x) a pdf?
(b) Find the CDF based on (a).
(c) For what values of k does E(X) exist?
Transcribed Image Text:13. A function f(x) has the following form: S(x) = kx-*+ 1) 1<x < 0 and zero otherwise. (a) For what values of k is f(x) a pdf? (b) Find the CDF based on (a). (c) For what values of k does E(X) exist?
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