Data from previous years reveal that the distribution of the final exam scores in an introductory stats class is approximately normal with a mean of 23.2 out of 30 with a standard deviation of 4.94.
1. Given that the passing score is 18.6, approximately what percentage of students pass the final exam?
2. If a student aims to be in the top 4 percent of the class, how should the student score?
3. The middle 95 percent of the scores will tend to fall between _______ and ________.
Please show your work so I can understand how to calculate.