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Employ a suitable approximating distribution to determine the probability that this booklet contains at least 2 errors.
Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
On average, the booklets from a certain publisher have 1 incorrect letter in every 30 letters, and the mistakes arise at random. A booklet chosen at random from this publisher has 12500 letters.
Worked solution & mark scheme
This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Poisson applied correctly to find $1 - P(X = 0 \text{ or } 1)$ with mean $\lambda = \frac{5}{12}$ (or allowing $1 - P(X = 0,1,2)$).” …
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