In the study on the effects of peers on adolescent delinquency, researchers initially collected a random sample of 6^thgraders to participate in the study. Not all of the 6^th graders were exactly the same age, but the variability in ages was normally distributed. The mean age of their sample was 12.5 years and the standard deviation (SD) was .75 years. Show work please

1. Draw a normal distribution density curve of the adolescent ages. Label the mean and the ages that are 1, 2, and 3 SD's away from the mean (both to the left and right of the mean).

2. What percent of adolescents were between the ages of 11.75 and 14?

3. If an adolescent's age was 14.5 years, would they be in the top 10% of the distribution?