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Math Help - Last question on chebyshev's inequality

  1. #1
    Member roshanhero's Avatar
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    Last question on chebyshev's inequality

    If X is the number scored in a throw of a fair die,show that the Chebyshev's inequality gives
    P(\mid X-\mu\mid >2.5)<0.47
    Where \mu is the mean of X,while the actual probability is zero.
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  2. #2
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    mr fantastic's Avatar
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    Quote Originally Posted by roshanhero View Post
    If X is the number scored in a throw of a fair die,show that the Chebyshev's inequality gives
    P(\mid X-\mu\mid >2.5)<0.47
    Where \mu is the mean of X,while the actual probability is zero.
    I don't see where the trouble could be here. Where are you stuck?

    You should know how to calculate the standard deviation \sigma of the number scored.

    So solve k \sigma = 2.5 for k and then substitute this value of k into the right hand side of the Chebyshev inequality given here: Chebyshev's inequality - Wikipedia, the free encyclopedia
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