SOLUTION: Possible Points: 2 The points obtained by students on a test in a class are normally distributed with a mean of 60 points and a standard deviation of 5 points. About what percent

Algebra ->  Probability-and-statistics -> SOLUTION: Possible Points: 2 The points obtained by students on a test in a class are normally distributed with a mean of 60 points and a standard deviation of 5 points. About what percent       Log On


   



Question 1164245: Possible Points: 2
The points obtained by students on a test in a class are normally distributed with a mean of 60 points and a standard deviation of 5 points. About what percent of students have scored less than 70 points?


Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
About means use empirical rule
This is probability something is fewer than 2 sd s above the mean (z<(70-60)/5)
This is 0.9772 exactly
with the empirical rule 95% are between +/- 2 sd s, so there is 0.0250 on either side, so the part that isn't possible is the part below +2 sd, and that has probability 0.9750.
The answer will then be the complement or 0.9750 probability.