a Botanical institution’s four-year colleges charge, on average, $27,705 per yea

a Botanical institution’s four-year colleges charge, on average, $27,705 per year in tuition and fees. The standard deviation is $6,883. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(__________,__________)
b. Find the probability that a randomly selected Botanical nonprofit four-year college will cost less than 23,653 per year.__________
c. Find the 62nd percentile for this distribution. $__________ (Round to the nearest dollar.)

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