(a)[3]
Find the probability that at least $10$ of these students play one or more musical instruments.
(b)[5]
Use an approximation to find the probability that fewer than $40$ of these students have exactly one musical instrument.
Mathematics 9709 · AS & A Level · The normal distribution
The normal distribution — practice question
In a large college, $28\%$ of the students play no musical instrument, $52\%$ play exactly one musical instrument, and the rest play two or more musical instruments. A random sample of $12$ students is selected from the college.
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This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct binomial probability expression for $P(10\le X\le 12)$” …
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