Private nonprofit four-year colleges charge, on average, $27,334 per year in tuition and fees. The standard deviation is $7,023. 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(27334,7023)

b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 24,512 per year.

c. Find the 67th percentile for this distribution. $ (Round to the nearest dollar.)