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 µ 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

$\mu=1.57\text{ m}$, $\sigma=0.103\text{ m}$

Using Standardization to Solve μ and σ

Using Standardization to Solve μ and σ

Video Solution:

Solution:

Solution locked