can you please help me find the probabilities to these answers on my stat hw ?

8.

< Previous Next 8. Heights of 10 year olds Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 54 inches and standard deviation 6 inches. (a) What is the probability that a randomly chosen 10 year old is shorter than 47 inches? (b) What is the probability that a randomly chosen 10 year old is between 54 and 68 inches? (c) If the tallest 12% of the class is considered very tall, what is the height cutoff for very tall? (d) Find a value k so that 80% of 10 year olds are within k inches of 54 inches tall. k inches (e) The height requirement for Batman the Ride at Six Flags Magic Mountain is 54 inches. (Children who are too tall cannot safely ride.) What percent of 10 year olds cannot go on this ride?