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Math Help - MOre Prob

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    MOre Prob

    A secretary makes 2 errors per page on average. What is the probability that he makes
    (a)4 or more errors on the next page he types?
    (b)no errors on the next page he types?
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  2. #2
    Bar0n janvdl's Avatar
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    Quote Originally Posted by matty888 View Post
    A secretary makes 2 errors per page on average. What is the probability that he makes
    (a)4 or more errors on the next page he types?
    (b)no errors on the next page he types?
    This is a Poisson distribution problem, with \lambda = 2

    a)  P(X \geq 4) = 1 - P(X < 4)

    You know the basic formula for the Poisson distribution:
    \frac{\lambda ^{k} e ^{- \lambda}}{k!}

     = 1 - \frac{2 ^{0} e ^{- 2}}{0!} -  \frac{2 ^{1} e ^{- 2}}{1!} -  \frac{2 ^{2} e ^{- 2}}{2!} - \frac{2 ^{3} e ^{- 2}}{3!}

    ===========

    b) \frac{2 ^{0} e ^{- 2}}{0!}
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