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Poisson Distribution and Chebyshev's Inequality

  1. Nov 6, 2009 #1
    1. The problem statement, all variables and given/known data

    LEt X have a Poisson distribution with u=100. Use Chebyshev's inequality to determine a lower bound for P(75<x<125)

    2. Relevant equations

    Chebyshev's Inequality.

    3. The attempt at a solution

    I'm really unsure of how to go about calculating this problem. Any help would be appreciated.
  2. jcsd
  3. Nov 6, 2009 #2
    Here's a hint:
    [tex]P( 75 < x < 100 ) = P( x < 100 ) - P( x \leq 75 )[/tex]. Chebyshev is more directly applicable at this point.
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