ACT scores for high school students are normally distributed with mean=24.1 and standard deviation=4.3. Student from the high school is arbitarily selected. Reply the following questions:
1) Determine the probability that the student's ACT score is less than 22?
2) Determine the probability that the student's ACT score is between 22 and 30?
3) Determine the probability that the student's ACT score is more than 30?
4) Determine the minimum ACT score which places student at the top 5%?