<p>The height, $X$, in metres, of a randomly chosen adult female has a distribution which is normal with mean $\mu $ and variance ${{\sigma }^{2}}$. If $10\%$ of the population have heights greater than $1.7$ m and $5%$ have heights less than $1.4$ m, find $\mu $ and $\sigma $.</p>

The height, $X$, in metres, of a randomly chosen adult female has a distribution which is normal with mean $\mu $ and variance ${{\sigma }^{2}}$. If $10\%$ of the population have heights greater than $1.7$ m and $5%$ have heights less than $1.4$ m, find $\mu $ and $\sigma $.

Normal Distribution

International Baccalaureate Higher Level Mathematics

Standard Normal Distribution Q8

Standard Normal Distribution Q8