SOLUTION: math exam scores in a MATH 1030 class is approximately normally distributed with mean 86 and standard deviation 5.2. Round answers to the nearest tenth of a percent.
a) What per
Algebra ->
Probability-and-statistics
-> SOLUTION: math exam scores in a MATH 1030 class is approximately normally distributed with mean 86 and standard deviation 5.2. Round answers to the nearest tenth of a percent.
a) What per
Log On
Question 1157477: math exam scores in a MATH 1030 class is approximately normally distributed with mean 86 and standard deviation 5.2. Round answers to the nearest tenth of a percent.
a) What percentage of scores will be less than 91?
%
b) What percentage of scores will be more than 82?
%
c) What percentage of scores will be between 80 and 89?
% Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! z=(x-mean)/sd
z=(91-86)/5.2 =0.96
prob z<0.96=0.83147 or 83.1%
more than 82 is z=(82-86)/5.2=-0.77
prob z>-0.77=0.7794 or 77.9%
between 80 and 89 is a z between -1.15 and +0.58
that probability is 0.5940 or 59.4%
