In Ventura County, the height measurements of ten-year-old children are approximately normally distributed with a mean of 54.7 inches, and standard deviation of 5.1 inches. Let X be the height of a randomly chosen child in Ventura County. a. What is the distribution of X? X-?V Please show the following answers to 4 decimal places. b. If a Ventura County child is randomly chosen, find the probability that the height is at least 57.3 inches. c. If a Ventura County child is randomly chosen, find the probability that the height is between 57.3 and 65 inches. Please show the following answer to 1 decimal place.