In Exercises 3-10, use the following information. In a recent year, grade 8 Minnesota State public school students taking a mathematics assessment test had a
mean score of 290 with a standard deviation of 37. Possible test scores could range
from 0 to 500. Assume that the scores are normally distributed. (Source: National
Center for Educational Statistics)
3. Find the probability that a student had a score higher than 320.
4. Find the probability that a student had a score between 250 and 300.
5. What percent of the students had a test score that is greater than 250?
6. If 2000 students are randomly selected, how many would be expected to have
a test score that is less than 280?
7. What is the lowest score that would still place a student in the top 5% of the
scores?
8. What is the highest score that would still place a student in the bottom 25%
of the scores?
9. A random sample of 60 students is drawn from this population. What is the
probability that the mean test score is greater than 300?
10. Are you more likely to randomly select one student with a test score greater
than 300 or are you more likely to select a sample of 15 students with a mean
test score greater than 300? Explain.

Please help!