In Ventura County, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.9 inches, and standard deviation of 3.1 inches. Let X be the height of a randomly chosen child in Ventura County. a. What is the distribution of X?X - ? 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 most 49.2 inches. c. If a Ventura County child is randomly chosen, find the probability that the height is between 52.3 and 53.9 inches. Please show the following answer to 1 decimal place. d. The 40th percentile height in Ventura County is how many inches?

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