Please answer and show work

Part 3: The Empirical Rule and the Normal Distribution. In a normal distribution, what percent of the values lie? Use the Empirical Rule on page 409. (3 pts each) 9. below the mean? 10. above the Mean? 1 1. within one standard deviation of the mean? 12. within two standard deviation of the mean? 13. within three standard deviation of the mean? Questions 14-18: 1200 freshman at NC State took a biology test. The scores were normally distributed with a mean of 75 and a standard deviation of 8. Label the mean and three standard deviations from the mean. Use the Empirical Rule on page 409. (68; 95; 99.7) (3 pts cach) Answer the following questions based on the data: 14) What percentage of scores are between 67 and 91? 15) What percentage of scores are between 83 and 99? 16) What percentage of scores are greater than 99? 17) Approximately how many biology students scored between 67 and 83? 18) Approximately how many biology students scored greater than 83