Private nonprofit four-year colleges charge, on average, $26,105 per year in tuition and fees. The standard deviation is $6,615. 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 27,072 per year.

c. Find the 64th percentile for this distribution. $(Round to the nearest dollar.)