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Thread: mistakes probability

  1. #1
    Junior Member
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    mistakes probability

    See you are typing a research paper and the average number of spelling grammatical mistakes per page is 6, while the standard deviation is 2. What is the probability of having more than 20 mistakes on the page?
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  2. #2
    MHF Contributor
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    Re: mistakes probability

    Unless you assume some underlying distribution you can't really calculate this.

    You can bound it though.

    By Chebyshev's Inequality

    $P[|X-\mu| \geq k \sigma] \leq \dfrac{1}{k^2}$

    $20 - 6 = 14 = 7\sigma$

    $P[\text{errors}\geq 20] \leq \dfrac{1}{7^2} = \dfrac{1}{49}$
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