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.
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.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F511a132b-f381-45ab-9f76-51ceb7a18b26%2Fbaffd1db-261c-41e9-97a5-71f87a4934fe%2Fwerv9sc2_processed.png&w=3840&q=75)
Transcribed Image Text: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.
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