Question 1099382
the mean is 120, since that is 0.48 of 250
The variance is 120*0.52 np(1-p)=62.4
the sd is sqrt (62.4)=7.9
less than 0.54 is a number of 135
use 134.5
(134.5-120)/7.9 is the z value below which we are interested
that would be z < 14.5/7.9=+1.84
or 0.9671
Within 0.04 is within 10 people
this is within 110 and 130, including
(109.5-120)/7.9 is z of -1.33
(130.5-120)/7.9 is z of +1.33
That probability is 0.8165.