The transportation department of a school district wanted to estimate the number of students who live a certain distance from the high school. They surveyed 100 randomly selected students out of the 562 students at the school, asking how many miles they live from the school. The mean distance of the sample was 3.7 miles with a standard deviation of 1.2 miles. The data had a normal distribution. Part A Based on the sample, approximately how many students in the school live 2.5 miles or more from the high school? Explain how you determined your answer.
Part B What is the median distance that students live from the school? Explain how you determined your answer.
Part C Approximate the maximum and minimum distances from school between which at least 99% of the students live. Explain how you determined your answer.