Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

A loaded die was rolled 20 times, and the number of 5s was recorded. The trial was carried out many times, and the mean number of 5s was determined to be $4.8$.
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Determine the probability that, in the next $20$ throws, the number of $5$s is below three.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct value for $p$, where $p = \frac{4.8}{20} = 0.24$” …

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