Heights of 10 year olds. Heights of 10 yearolds, regardless of gender, closely follow a normal distributionwith mean 55 inches and standard deviation 6 inches. Round allanswers to two decimal places.
1. What is the probability that a randomly chosen 10 year old isshorter than 57 inches?
2. What is the probability that a randomly chosen 10 year old isbetween 61 and 63 inches?
3. If the shortest 15% of the class is considered very tall,what is the height cutoff for very tall?  inches
4. What is the height of a 10 year old who is at the 24 thpercentile?  inches