In a large city, the heights of 10-year-old children are approximately normally distributed with a mean of 53.7 inches and standard deviation of 7 inches.
(a) What is the probability that a randomly chosen 10-year-old child has a height that is less than than 38.2 inches? Round your answer to 3 decimal places.
(b) What is the probability that a randomly chosen 10-year-old child has a height that is more than 40.3 inches? Round your answer to 3 decimal places