Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
In a particular country, the chance that a child owns a bicycle is $0.65$.
(i)[3]
A random sample of $15$ children from this country is selected. Find the probability that more than $12$ own a bicycle.
(ii)[4]
A random sample of $250$ children from this country is selected. Use a suitable approximation to find the probability that fewer than $179$ own a bicycle.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Recognises $P(X>12)=P(X=13,14,15)$ from the binomial structure” …