Private nonprofit four-year colleges charge, on average, $26,282 per year in tuition and fees. The standard deviation is $7,473. 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 29,063 per year. Incorrect c. Find the 74th percentile for this distribution. $Incorrect (Round to the nearest dollar.)