Private nonprofit four-year colleges charge, on average, $27,803 per year in tuition and fees. The standard deviation is $6,657. 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 27,803 b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 25,019 per year. c. Find the 72nd percentile for this distribution. $ Question Help: ✓ 6,657 Submit Question Written Example Message instructor (Round to the nearest dollar.)

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