A certain standardized test has scores with a normal distrib

A certain standardized test has scores with a normal distribution having a Mean (\\mu ) of 30 and a Standard Deviation (\\sigma ) of 4. Several prospective test takers want to know what score they need to get so that they fall within a certain predetermined percentile. Assume all scores on this exam only take integer values. Therefore all scores should be rounded to the nearest integer. Find the scores that place the students at the first quartile (Q1) and the third quartile (Q3).

Solution