The height, $X$, in metres, of a randomly chosen adult female has a distribution which is normal w

Question

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 $.

Accepted Answer

$\mu\approx1.57\text{ m}$, $\sigma\approx0.103\text{ m}$ (3 s.f.).

Standard Normal Distribution Q8

Standard Normal Distribution Q8

Solution:

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