Question

Find the percentile for x=8 if the mean is 7 and the standard deviation is 2

Answer 1

$Z=\frac {x-\mu} {\sigma}$

$=\frac {8-7}{2}$

=0.5

$\Phi(0.5)=0.6915$ from the z tables

X=8 is at 69th percentile.