SOLUTION: The employees of Cartwright Manufacturing are awarded efficiency ratings. The distribution of the ratings follows a normal distribution. The mean is 400, the standard deviation 50

Question 1161385: The employees of Cartwright Manufacturing are awarded efficiency ratings. The distribution
of the ratings follows a normal distribution. The mean is 400, the standard deviation 50.
(a) What is the area under the normal curve between 400 and 482? Write this area in probability notation.
(b) What is the area under the normal curve for ratings greater than 482? Write this area in
probability notation.
(c) Show the facets of this problem in a chart.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
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 That is the half-area (0.50)-the 0.4495 calculated above or 0.0505.
P(rating>482)=0.0505
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