he combined SAT scores for the students at a local high scho

he combined SAT scores for the students at a local high school are normally distributed with a mean of 1531 and a standard deviation of 302. The local college includes a minimum score of 595 in its admission requirements.

What percentage of students from this school earn scores that satisfy the admission requirement?
P(X > 595) =  %

Enter your answer as a percent accurate to 1 decimal place (do not enter the \"%\" sign). Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Solution

Given =1531,standard deviation=302

If X=595, Z=(595-1531)/302=-3.099.

P(X>595)=P(Z>-3.0993)=P(0<=Z<=3.0993)=49.9