Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
On average, $1$ adult out of every $75\,000$ has a particular genetic disorder.
(a)[3]
Apply an appropriate approximating distribution to determine the probability that, in a random sample of $10\,000$ people, at least $1$ is affected by the genetic disorder.
(b)[4]
In a random sample of $n$ people, with $n$ large, the chance that nobody has the genetic disorder is greater than $0.9$. Determine the greatest possible value of $n$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use of the Poisson model with $\lambda=\frac{2}{15}$.” …