Given : In a hypothetical study looking at the scores of 100 people in an entrance exam, it was determined that the average score was 95 with a standard deviation of 10.
i.e.
Let x denotes the scores.
We assume that the scores are normally distributed.
Then, the proportion of individuals in this population have a score greater than 115 will be :-
Hence , the proportion of individuals in this population have a score greater than 115 = 0.0228