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In Ventura County, the height measurements of ten-year-old children are approximately normally distributed with a...

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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 - ?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.

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