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Chebyshev's theorem 
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#1
Nov811, 12:58 PM

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Chebyshev's theorem: If μ and σ are the mean and standard deviation of the random variable X, then for any positive constant k,the probability that X will take on a value within k standard deviations of the mean is at least [1(1/kČ)],that is,
P(Xμ<kσ) ≥ 11/kČ, σ≠0. (i) given the chebyshev theorem,prove this theorenn using classical definition of variance. (ii)Give an example of how this theorem can be used to calculate probability. 


#2
Nov911, 04:09 PM

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