Private nonprofit four-year colleges charge, on average, $26,742 per year in tuition and fees. The standard deviation is

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Private nonprofit four-year colleges charge, on average, $26,742
per year in tuition and fees. The standard deviation is $6,846.
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 Private nonprofit four-year
college will cost less than 25,796 per year. c. Find the 62nd
percentile for this distribution. $ (Round to the nearest
dollar.)