The height of students in a college is normally distibuted with mean,$\displaystyle \mu$ cm and standart deviation of 12 cm.Given the percentage of students with the height of less than 150 cm is 25%.Find the value of $\displaystyle \mu$

i get:

$\displaystyle z = \frac{X - \mu}{\sigma}$

$\displaystyle 0.25 = \frac{150 - \mu}{12}$

$\displaystyle \mu = 147$

is that my answer correct?