Mean and standard deviation of normally distributed race times from the percentages in the two tails
Mean and standard deviation of normally distributed race times from the percentages in the two tails
6 marks
The times taken by the runners in a \(5\) km fun run are normally distributed with mean \(\mu\) minutes and standard deviation \(\sigma\) minutes. Of the runners, \(8\%\) finish in less than \(21\) minutes and \(25\%\) take more than \(34\) minutes. Find \(\mu\) and \(\sigma\).[6]
Solution:
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Answer:\(\mu=29.8\) minutes, \(\sigma=6.25\) minutes
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