Let X be a continuous random variable with pdf f(x). If f(x) = 0 for x < 0, then show that for any a > 0, P(X >a) < a where μ- E(X). µ =

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Let X be a continuous random variable with pdf f(x). If f(x) = 0 for
x < 0, then show that for any a > 0,
P(X > a) < !
a
where μ= Ε(X) .
E(X).
Transcribed Image Text:Let X be a continuous random variable with pdf f(x). If f(x) = 0 for x < 0, then show that for any a > 0, P(X > a) < ! a where μ= Ε(X) . E(X).
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