Let g : ( (0, () be nondecreasing in (0, () and symmetric about 0 (g(-x)

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Let g : ( → (0, () be nondecreasing in (0, () and symmetric about 0 (g(-x) = g(x)) x ( (), and let X be a r.v, such that (g(X) < (. Then show that: P(|X| ( c) ( (g (X)/g(c) for every c > 0.
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