Private nonprofit four-year colleges charge, on avwrage, $26,093 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 colege will cost less than 24,832 per year.------------ c.  Find the 64th percentile for this distribution. $ --------------- (Round to the nearest dollar.)

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