Private nonprofit four-year colleges charge, on average, $26,120 per year in tuition and fees. The standard deviation is $7,114. 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 24,541 per year. c. Find the 64th percentile for this distribution. S (Round to the nearest dollar.)