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Chebyshev's inequality?

  1. Nov 6, 2009 #1
    Chebyshev's inequality??

    1. The problem statement, all variables and given/known data

    Let numbers m, sigma and s be given. Suppose s and m are positive. Then there is a number N with the following property: Let
    X1,..., Xn be independent random variables with n > N. Suppose
    E(Xi) = m and Var(Xi) = sigma^2 for all i.
    Prove that: Р(Х1 + • • • +Xn < 0) < s.

    2. Relevant equations

    3. The attempt at a solution
    I am presuming it may be done using Chebyshev's inequality. But neither am I certain, nor do I know how.

    Thank you in advance for any timely help.
  2. jcsd
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