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Determine the probability that, across a $2$-month period, the combined number of accidents at the two factories is greater than $3$.
Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
Accidents at the two factories happen independently and at random. The average monthly accident counts are $3.1$ for factory $A$ and $1.7$ for factory $B$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Initial attempt at the combined mean $\lambda = (3.1+1.7)\times2$ (or an equivalent attempt such as $3.1+1.7$).” …
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