Heights of 10-year-old, regardless of sex, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. A. What is the probability that a randomly chosen 10-year-old is sh

Heights of 10-year-old, regardless of sex, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches.

A. What is the probability that a randomly chosen 10-year-old is shorter than 48 inches?

B. What is the probability that a randomly chosen 10-year-old is between 60 and 65 inches?

C. If the tallest 10% of 10-year-olds are considered “very tall”, what is the height cutoff for “very tall”?

D. The height requirement for Batman the Ride at Six Flags Magic Mountain is 54 inches. What percent of 10-year-olds cannot go on this ride?