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From: Arthur Tabachneck on 28 Jul 2007 16:16
Kevin,

Take a look at: http://math.cudenver.edu/~ssain/prob/lec13.pdf

HTH,
Art
---------
On Fri, 27 Jul 2007 16:53:03 -0400, Kevin Roland Viel <kviel(a)EMORY.EDU>
wrote:

>In the proof of Tchebysheff's theorem, I would like to derive:
>
>(y-mu)^2 >= k^2 sigma^2
>
>mu = mean
>sigma^2 = variance
>
>the k refers to the bounds on the integral
>
>integral -infinity to mu-ksigma (y-mu)^2 f(y) dy
>
>or
>
>integral mu+ksigma to infinity (y-mu)^2 f(y) dy
>
>I can intuitively convince myself of this, but I would like to follow it
>formally. If anyone has a hint or reference, I would appreciate it.
>
>Thanks,
>
>Kevin
>
>
>Kevin Viel
>PhD Candidate
>Department of Epidemiology
>Rollins School of Public Health
>Emory University
>Atlanta, GA 30322
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