The heights of 10-year-olds, regardless of gender, closely follow a Normal distribution with a mean of 54 inches and a standard deviation of 7 inches. a. What is the probability that a randomly chosen 10-year-old is shorter than 47 inches? (Round to 4 decimal places.) b. If the tallest 10% of the class is considered "very tall", what is the height cutoff for "very tall"? (Round to 2 decimal places.)