1. A police entrance exam among new recruits has an average score of 80 points, with a standard deviation of 7.5 points. Use these as your population values to answer the following questions.

1. What is the standard score for a raw score of 60?
2. What is the standard score for a raw score of 110?
3. What is the probability that an officer will score 85 or higher on the exam?
4. What is the probability that an officer will score between 70 and 90 on the exam?
5. Departmental awards are given to officers who score in the top 8 percent of new recruits.
6. What is the minimum score an officer must earn in order to receive an award?