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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