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Statistics- Normal Distribution, Probabilities, proportions

At a local high school, 1,000 juniors and seniors recently took an aptitude test. The results of the exam were normally distributed with a mean of 250 and a standard deviation of 15.
a)% of students scoring less than 225
b)number of students that scored less than 180
c)probability of a student selected at random having scored between 210 and 250.


Solution Preview

Given n = 1000
Population Mean = 250
Standard Deviation = 15
For X ...

Solution Summary

Solution to the posted problem is given with step by step solution in the attached solution file. Problem is solved using all the required formulas, working, and explanation so as to make the student understand easily and use this solution as a model solution for solving other problems of similar type.