The pdf (probability density function) of a random variable X, px(x), hasthe following property: px(x) = 0, for x < 0.Show that, for any a > 0, P(X >a) < X, where µxE[X] denotes themean.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The pdf (probability density function) of a random variable X, px(x), has the following property: px(x) = 0, for x < 0. Show that, for any a > 0, P(X >a) < X, where µx E[X] denotes the mean.