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Find the values of $\mu$ and $\sigma$.
Mathematics 9709 · AS & A Level · Continuous random variables
Continuous random variables — practice question
The lengths of a particular variety of white radish follow a normal distribution with mean $\mu$ cm and standard deviation $\sigma$ cm. $4\%$ of the radishes have lengths greater than $12$ cm, while $32\%$ exceed $9$ cm.
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This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct $z$-value identified, such as $1.75=\frac{12-\mu}{\sigma}$” …
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