SOLUTION: On a test given to all high school students in the state of Maryland, the average score was 82 and the standard deviation was 4.2. If one student is randomly selected, what

Algebra ->  Probability-and-statistics -> SOLUTION: On a test given to all high school students in the state of Maryland, the average score was 82 and the standard deviation was 4.2. If one student is randomly selected, what       Log On


   



Question 326267:
On a test given to all high school students in the state of Maryland, the average score was 82 and the standard deviation was 4.2. If one student is randomly selected, what is the probability that this student scored above 90?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the z score.
z=%28x-mu%29%2Fsigma=%2890-82%29%2F4.2
z=1.905
P%28z%29=0.9716
That P value is for x%3C=90.
Subtract from 1 to find x%3E90
P=1-0.9716
highlight%28P=0.0284%29