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Determine the probability that exactly $8$ out of $10$ randomly selected flower pots have base diameters between $13.6\text{ cm}$ and $14.8\text{ cm}$.
Mathematics 9709 · AS & A Level · Continuous random variables
Continuous random variables — practice question
A factory manufactures flower pots. The diameters of their bases are normally distributed with mean $14\text{ cm}$ and standard deviation $0.52\text{ cm}$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The interval $P(13.6 < X < 14.8)$ is correctly standardised to $P\left(\frac{13.6-14}{0.52} < Z < \frac{14.8-14}{0.52}\right)$” …
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