(a)[5]
Use an approximation to determine the probability that fewer than $27$ pupils take music lessons.
(b)[3]
A random selection of $10$ pupils from this school is now taken. Find the probability that at most $2$ pupils take music lessons.
Mathematics 9709 · AS & A Level · The normal distribution
The normal distribution — practice question
In one large school, the average number of pupils who take music lessons is two in five. A random selection of $80$ pupils is taken from this school.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct mean $\mu=80\times 0.4=32$ and variance $\sigma^2=80\times0.4\times0.6=19.2$.” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI