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9709 P51 - Jun 2023 - Q4
3214

All the students are given a second puzzle to complete. Their times, in minutes, are normally distributed with mean \(\mu\) and standard deviation \(\sigma\). It is found that 20% of the students have times less than 14.5 minutes and 67% of the students have times greater than 18.5 minutes.

Find the value of \(\mu\) and the value of \(\sigma\).

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