Complete the following steps to create a plot that shows x-values and probabilities in a shaded area.
The following graphs model scores for an entrance exam into an education program. The scores are normally distributed with a known mean and standard deviation.
Students must score in the top 10 percent to be accepted into the program. The following graph shows that students who have scores of 1621 or greater are in the top 10 percent.
You received a score of 1738 and want to know your percentile. Your score of 1738 is at the 95^{th} percentile.
You want to know the scores at the 2.5^{th} percentile and the 97.5^{th} percentile. At the 2.5^{th} percentile, the score is 583.8 and at the 97.5^{th} percentile, the score is 1838. Approximately 95% of the students have scores that are between 583 and 1838.
You want to know what percentage of students has scores that are between 800 and 1600. Approximately 79% of the students have scores that are between 800 and 1600.