Question 1161385
z=(x-mean)/sd
=82/50=1.64
the area is from z=0 to z=+1.64 which is the probability and is equal to 0.4495
p(400<rating<482)=0.4495

That is the half-area (0.50)-the 0.4495 calculated above or 0.0505.
P(rating>482)=0.0505