Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
In one town, $35\%$ of residents take a holiday abroad, while $65\%$ spend their holiday in their own country. Among those who go abroad, $80\%$ choose the seaside, $15\%$ go camping and $5\%$ take a city break. Among those who have a holiday in their own country, $20\%$ go to the seaside and the remaining people are split equally between camping and a city break.
(i)[5]
A person is selected at random. If the selected person goes camping, find the probability that the person goes abroad.
(ii)[3]
A random group of $n$ people is selected. The probability that every person in the group takes a holiday in their own country is less than $0.002$. Determine the smallest possible value of $n$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Try $P(A\cap C)$ or the conditional probability structure” …