Mean and standard deviation of a normally distributed mass from the percentages below and above two values
Mean and standard deviation of a normally distributed mass from the percentages below and above two values
6 marks
The masses of the eggs laid on a farm are normally distributed with mean \(\mu\) grams and standard deviation \(\sigma\) grams. Of these eggs, \(15\%\) have a mass of less than \(52\) grams and \(6\%\) have a mass of more than \(68\) grams. Find the value of \(\mu\) and the value of \(\sigma\).[6]
Solution:
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Answer:\(\mu=58.4,\ \sigma=6.17\)
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