A large group of adults have their heights measured. The heights of the adults are normally distributed with mean \(\mu\text{ cm}\) and standard deviation \(\sigma\text{ cm}\).
The probability that one of the adults chosen at random has a height greater than \(171\text{ cm}\) is \(0.4\).
If one of the adults with a height greater than \(171\text{ cm}\) is chosen at random, the probability that their height is greater than \(175\text{ cm}\) is \(0.35\).
Find the value of \(\mu\) and the value of \(\sigma\).[7]
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