# Math Help - Normal distribution Problem

1. ## Normal distribution Problem

The height of students in a college is normally distibuted with mean, $\mu$ 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 $\mu$

i get:

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

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

$\mu = 147$

2. Originally Posted by mastermin346
The height of students in a college is normally distibuted with mean, $\mu$ 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 $\mu$

i get:

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

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

$\mu = 147$

0.25 is a probabilty, not the value of z. More specifically, $\Pr(Z < z*) = 0.25$. So $z* = \frac{150 - \mu}{12}$. Your job is to get the value of z* using your tables, substitute it and then solve for $\mu$.